Suppose that V₁, V2, , Um are linear dependent in a vector space V. For every & EV, show that 7₁, V2, , Um, 7 are also linearly dependent. 9

Answers

Answer 1

By supposing that V₁, V2, and Um are linearly dependent in a vector space V. For every & EV. V₁, V₂, ..., Uₘ are linearly dependent in a vector space V. As 7₁V₁ = 7(c₂V₂ + c₃V₃ + ... + cₘUₘ)

To show that 7₁V₁, 7₂V₂, ..., 7ₘUₘ, 7 is also linearly dependent for every 'c' in V, we can use the following approach: If V₁, V₂, ..., Uₘ are linearly dependent, then we can write at least one vector as a linear combination of the other vectors.

Let's assume V₁ can be written as a linear combination of the other vectors as follows:

V₁ = a₂V₂ + a₃V₃ + ... + aₘUₘ

where a₂, a₃, ..., aₘ are constants. Now, we can express the vector 7₁V₁ as:

7₁V₁ = 7₁a₂V₂ + 7₁a₃V₃ + ... + 7₁aₘUₘ

Since 7 is a constant, we can take it outside the bracket as:

7₁V₁ = 7(a₂7₁V₂ + a₃7₁V₃ + ... + aₘ7₁Uₘ)

Let's assume the sum inside the bracket is equal to 'b'. Then,

7₁V₁ = 7b

Since we know that V₁, V₂, ..., Uₘ are linearly dependent, we can write b as a linear combination of the other vectors as follows:

b = c₂V₂ + c₃V₃ + ... + cₘUₘ

where c₂, c₃, ..., cₘ are constants. Now, substituting the value of b in the equation for 7₁V₁, we get:

7₁V₁ = 7(c₂V₂ + c₃V₃ + ... + cₘUₘ)

This shows that 7₁V₁, 7₂V₂, ..., 7ₘUₘ, 7 are also linearly dependent. Therefore, we have proved that for every 'c' in V, 7₁V₁, 7₂V₂, ..., 7ₘUₘ, 7 are also linearly dependent.

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Related Questions

Most quadratic equations have______roots?

Answers

Answer:

equal

Step-by-step explanation:

Most quadratic equations have equal roots.

the waiting time at an elevator is uniformly distributed between 30 and 200 seconds. what is the probability a rider must wait between 1 minute and 1.4 minutes?

Answers

The probability that a rider must wait between 1 minute and 1.4 minutes at the elevator can be determined by calculating the proportion of the uniform distribution that falls within this time interval.

The given information states that the waiting time at the elevator follows a uniform distribution between 30 and 200 seconds. To find the probability of waiting between 1 minute and 1.4 minutes, we need to convert these time values to seconds.

1 minute is equal to 60 seconds, and 1.4 minutes is equal to 84 seconds. Therefore, we are interested in finding the probability that the waiting time falls between 60 seconds and 84 seconds.

Since the waiting time follows a uniform distribution, the probability of waiting within a specific interval is equal to the length of that interval divided by the total length of the distribution.

The total length of the distribution is 200 seconds - 30 seconds = 170 seconds.

The length of the interval between 60 seconds and 84 seconds is 84 seconds - 60 seconds = 24 seconds.

Thus, the probability that a rider must wait between 1 minute and 1.4 minutes is 24 seconds / 170 seconds, which is approximately 0.1412 or 14.12%.

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5 6 7 8 9 + 10 11 12 13 14 15 16 17 18 data a Based on the boxplot above, identify the 5 number summary The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 ounces and a standard deviation of 11 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. and a) 68% of the widget weights lie between b) What percentage of the widget weights lie between 11 and 55 ounces? S c) What percentage of the widget weights lie above 22?

Answers

a.  The 68% of the widget weights lie between  33 ounces and  55 ounces.

b. The percentage of widget weights lying between 11 and 55 ounces is approximately 68%.

c. The percentage of widget weights lying above 22 ounces is approximately = 5%.

Based on the given data points: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, the five-number summary can be identified as follows:

Minimum: 5

First Quartile (Q1): 7

Median (Q2): 11

Third Quartile (Q3): 15

Maximum: 18

Now, let's answer the questions related to the distribution of widget weights using the Empirical Rule:

a) The Empirical Rule states that for a bell-shaped distribution, approximately 68% of the data lies within one standard deviation of the mean. Since the mean is 44 ounces and the standard deviation is 11 ounces, we can say that approximately 68% of the widget weights lie between 44 - 11 = 33 ounces and 44 + 11 = 55 ounces.

b) To determine the percentage of widget weights lying between 11 and 55 ounces, we need to calculate the z-scores for these values. The z-score is calculated using the formula: z = (x - mean) / standard deviation.

For 11 ounces: z1 = (11 - 44) / 11 = -33/11 = -3

For 55 ounces: z2 = (55 - 44) / 11 = 11/11 = 1

Using the Empirical Rule, we know that approximately 68% of the data lies within one standard deviation of the mean. Therefore, the percentage of widget weights lying between 11 and 55 ounces is approximately 68%.

c) To determine the percentage of widget weights lying above 22 ounces, we need to calculate the z-score for 22 ounces: z = (22 - 44) / 11 = -22/11 = -2.

Using the Empirical Rule, we know that approximately 95% of the data lies within two standard deviations of the mean. Therefore, the percentage of widget weights lying above 22 ounces is approximately 100% - 95% = 5%.

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A random sample of 700 Democrats included 644 that consider protecting the environment to be a top priority. A random sample of 850 Republicans included 323 that consider protecting the environment to be a top priority. Construct a 90% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment. (Give your answers as percentages, rounded to the nearest tenth of a percent.)

Answers

The 90% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is -21.3% to -16.1%, which represents the range of values within which the true difference is likely to fall.

To construct the confidence interval, we first calculate the sample proportions for Democrats and Republicans: p₁ = 644/700 ≈ 0.92 for Democrats, and p₂ = 323/850 ≈ 0.38 for Republicans.

Next, we calculate the standard error of the difference using the formula: SE = √((p₁(1-p₁)/n₁) + (p₂(1-p₂)/n₂)), where n₁ and n₂ are the sample sizes.

Using the given sample sizes, the standard error is approximately 0.019.

To determine the margin of error, we multiply the standard error by the z-score corresponding to a 90% confidence level, which is approximately 1.645.

Finally, we calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error from the difference in sample proportions: 0.92 - 0.38 ± (1.645 * 0.019).

The resulting confidence interval is approximately -21.3% to -16.1%, which represents the range within which we can estimate the overall difference in the percentages of Democrats and Republicans prioritizing environmental protection.

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For each of these 10 samples, compute Statistics 1, 2, and 3. Enter your answers as 3 numbers separated by commas, such as 1,2,3. 2,3,3* 2,3,4 2, 3, 4* 2, 3+ 4 2, 3*, 4* 2, 4, 4* 3,3*, 4. 3, 3*, 4* 3, 4, 4* I 3*, 4,4* Which statistic would you recommend for estimating ? Average of smallest and largest values in the sample

Answers

Statistic 1 would you recommend for estimating average of smallest and largest values in the sample

To compute Statistics 1, 2, and 3 for the given samples, and determine which statistic would be recommended for estimating the average of the smallest and largest values, let's go through each sample one by one:

1. 2,3,3*

 Statistics 1: Sum of the values = 2 + 3 + 3 = 8

 Statistics 2: Average of the values = (2 + 3 + 3) / 3 = 2.67

 Statistics 3: Median of the values = 3

2. 2,3,4

   Statistics 1: Sum of the values = 2 + 3 + 4 = 9

   Statistics 2: Average of the values = (2 + 3 + 4) / 3 = 3

   Statistics 3: Median of the values = 3

3.  2,3,4*

    Statistics 1: Sum of the values = 2 + 3 + 4 = 9

    Statistics 2: Average of the values = (2 + 3 + 4) / 3 = 3

    Statistics 3: Median of the values = 3

4. 2,3*,4*

Statistics 1: Sum of the values = 2 + 3 + 4 = 9

Statistics 2: Average of the values = (2 + 3 + 4) / 3 = 3

Statistics 3: Median of the values = 3

5. 2,4,4*

Statistics 1: Sum of the values = 2 + 4 + 4 = 10

Statistics 2: Average of the values = (2 + 4 + 4) / 3 = 3.33

Statistics 3: Median of the values = 4

6. 3,3*,4

Statistics 1: Sum of the values = 3 + 3 + 4 = 10

Statistics 2: Average of the values = (3 + 3 + 4) / 3 = 3.33

Statistics 3: Median of the values = 3

7.  3,3*,4*

Statistics 1: Sum of the values = 3 + 3 + 4 = 10

Statistics 2: Average of the values = (3 + 3 + 4) / 3 = 3.33

Statistics 3: Median of the values = 3

8.  3,4,4*

Statistics 1: Sum of the values = 3 + 4 + 4 = 11

Statistics 2: Average of the values = (3 + 4 + 4) / 3 = 3.67

Statistics 3: Median of the values = 4

9.  3*,4,4*

Statistics 1: Sum of the values = 3 + 4 + 4 = 11

Statistics 2: Average of the values = (3 + 4 + 4) / 3 = 3.67

Statistics 3: Median of the values = 4

For estimating the average of the smallest and largest values in the sample, the recommended statistic would be Statistics 1, which is the sum of the values. Taking the average of the smallest and largest values can be obtained by dividing the sum by the number of values, which in this case is 3.

Therefore, the recommended statistic for estimating the average of the smallest and largest values is Statistics 1 (sum of the values).

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Out of her 5 gigabyte data plan, Debbie has used 37%. How much data does she have left?

Answers

jawkfjrnsidbjekwbxk2jw dlf 2kqbdkkebakdnrk8w Fflint

Answer:

740%

Step-by-step explanation:

I will give Brainliest
Emily rides her bike with a constant speed of 18 km/h. How long will she take to travel a distance of 18 kilometers?

Answers

Answer:

1 hour

Step-by-step explanation:

Travels 18 km/h

km/h = kilometers per hour

Answer:

1 hour

Step-by-step explanation:

Mhanifa can you please help? This is due asap!

Answers

13. k=3/4       14. a=23

15. p= 5 1/2    16. x=13

17. m=56         18. n=1 1/2

Answer:

13)

9/8 = (k + 6)/6 8(k + 6) = 6*98k + 48 = 548k = 6k = 6/8k = 3/4

14)

2/10 = 4/(a - 3)a - 3 = 4*5a - 3 = 20a = 23

15)

10/(p + 2) = 4/34(p + 2) = 10*34p + 8 = 304p = 22p = 22/4p = 11/2

16)

4/6 = 8/(x - 1)4(x - 1) = 8*6x - 1 = 12x = 13

17)

m/8 = (m + 7)/ 99m = 8(m + 7)9m = 8m + 56m = 56

18)

n/(n + 1) = 3/55n = 3(n + 1)5n = 3n + 32n = 3n = 3/2

I can use your help please

Answers

Answer:

he needs to play 24 games of basketball

This diagram shows a cylinder that has a radius of 3 inches and a height
of 5 inches.
3 in.
5 in.
What is the volume, in cubic inches, of the cylinder?
A. 151
B. 307
C. 451
D. 601

Answers

I’m not exactly sure but I think it’s 151

The volume, in cubic inches, of the cylinder will be   [tex]\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches.

What is Cylinder?

Cylinder is a [tex]3D[/tex] solid shape which holds two parallel bases joined by a curved surface, at a fixed distance. These bases are circular in shape and the center of the two bases are joined by a line segment.

What is volume?

Volume is define as capacity of cylinder.

Volume of cylinder [tex]=\pi r^{2} h[/tex]

We have,

Radius [tex]=3[/tex] inches

Height [tex]=5[/tex] inches,

Then,

Volume of cylinder [tex]=\pi r^{2} h[/tex]

                              [tex]=\frac{22}{7} *(3)^{2} *5[/tex]

                               [tex]=\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches

Hence, we can say that The volume, in cubic inches, of the cylinder will be     [tex]\frac{990}{7}[/tex]  or [tex]45\pi[/tex] cubic inches

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Waldo is looking up at his kite at a 22 degrees angle of elevation. If the horizontal distance to his kite is 225 feet, how long is the string from his hand to his kite ?

Answers

Answer:

The height of the kite from the ground is 13.617 feet  

Step-by-step explanation:

Given as :

The measure of the string = 30 feet

The angle of elevation from the boy to his kite = 27°

Let the height of the kite from ground = H feet

So, From Triangle

Sin angle =

Or, Sin 27° =  

or, H = 30 ×  Sin 27°

I.e H = 30 × 0.4539

∴ H = 13.617 feet

Hence the height of the kite from the ground is 13.617 feet   Answer

$12.60 for 3 boxes. Find the unit rate

Answers

Answer:

$4.20 / box

Step-by-step explanation:

12.60 / 3 = 4.20

HELP PLEASE!!
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.

Answers

Answer: $50 withdrawl $50 withdrawl and $65 deposite

Step-by-step : $50 withdrawl $50 withdrawl and $65 deposite

Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10

Answers

Answer:

Step-by-step explanation:

This is a quartic  equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

Solve the differential equation, 6 x dx + 4 x dy = 0, using separation of variables

Answers

The general solution to the differential equation is: y = -(3/2)x + C, where C is the constant of integration.

To solve the differential equation 6x dx + 4x dy = 0 using separation of variables, we need to rearrange the equation so that all the x terms are on one side and all the y terms are on the other side.

Let's start by dividing both sides of the equation by 4x:

(6x dx + 4x dy) / 4x = 0

(6x / 4x) dx + (4x / 4x) dy = 0

(3/2) dx + dy = 0

Now we can separate the variables by moving the dy term to the other side:

dy = -(3/2) dx

Integrating both sides with respect to their respective variables, we have:

∫ dy = ∫ -(3/2) dx

The integral of dy with respect to y is simply y, and the integral of -(3/2) dx with respect to x is -(3/2)x:

y = -(3/2)x + C

where C is the constant of integration. Thus, the general solution to the differential equation is:

y = -(3/2)x + C

This is the final solution using separation of variables.

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PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPP

Answers

Answer:

The equation is x-18 + 8x = 180 (because they form a linear pair of angles.

Each angle measure:-

x-18 + 8x = 180

x + 8x = 180 + 18 (-18 becomes +18)

9x = 198

x = 198/9

x = 22

Angle 1 = x-18 = 22-18 = 4 degrees

Angle 2 = 8x = 8 * 22 = 176 degrees

Hope it helps :')




Find a generalisation of Euler's Formula for graphs which are not necessarily connected. Be sure to prove that your formula always holds.

Answers

In Euler's Formula for graphs that are not necessarily connected states that the number of vertices minus the number of edges plus the number of connected components is equal to the Euler characteristic of the graph.

Euler's Formula, which states that the number of vertices minus the number of edges plus the number of faces is equal to 2 for planar graphs, can be extended to graphs that are not necessarily connected. In this generalization, we consider the number of connected components in the graph. A connected component is a subgraph where there is a path between any two vertices.

Let V be the number of vertices, E be the number of edges, C be the number of connected components, and X be the Euler characteristic of the graph. The generalization of Euler's Formula for non-connected graphs is given by V - E + C = X.

To prove this formula, we start with Euler's Formula for connected graphs, which states V - E + F = 2, where F is the number of faces. For a disconnected graph, the number of faces can be defined as the sum of the number of faces in each connected component minus the number of edges that belong to more than one connected component. This can be written as F = F1 + F2 + ... + FC - N, where Fi is the number of faces in the i-th connected component and N is the number of edges connecting different components.

By substituting F = F1 + F2 + ... + FC - N into Euler's Formula for connected graphs and rearranging terms, we get V - E + C = X, which is the generalization of Euler's Formula for non-connected graphs. Therefore, the formula holds true for any graph, whether connected or not.

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Pls help it due soon

Answers

Answer:

I need help with math too. Can u help me and I’ll help u

Step-by-step explanation:

Use the benchmark 1/2 to compare 5/8 and 2/7

Answers

Answer:

what?

Step-by-step explanation:

A company prepares their shipments in two different-sized boxes.
In order to fit with new shipping regulations, the company needs to decrease the volume of the boxes and will do this by reducing each of the dimensions by at least x inches.
Which system of inequalities can be used to model V, the volume of each box, after each dimension has been reduced by at least x inches?

Answers

Answer:

Answer is A.  -296x+960/ -636x+3,024

Step-by-step explanation:

Answer:

HEREEE besties

A circus rents a rectangular building that has floor dimensions of 50 by 100 feet

Answers

Answer:

50 x 100=5,000

Step-by-step explanation:

50 x 100

Help PLEASEE!!!!!!!!!!

Answers

I think it’s the third one. Hope that helps!

Answer:

the answers are B or C x>4/19

Define: stratified random sample a) population is divided into similar groups and a SRS is chosen from each group. b) gives each member of the population a known chance to be selected. c) people who choose themselves for a sample by responding to a general appeal. d) the explanatory variable(s) in an experiment. e) directly holding extraneous factors constant. f) every possible sample of a given size has the same chance to be selected. g) using extraneous factors to create similar groups. h) successively smaller groups are selected within the population in stages. i) choosing the individuals easiest to reach.

Answers

Answer:

d) population is divided into similar groups and a SRS is chosen from each group.

Step-by-step explanation:

Stratified random sampling

can be regarded as "proportional random sampling" and is method of sampling which entails division of a population to more simpler sub- groups, this sub- groups are regarded as " strata". This strata are been formed on the basis of shared attributes of the members. This attribute could be educational attainment as well as income. It should be noted that stratified random sample is population is divided into similar groups and a SRS is chosen from each group.

Which ordered pair is a solution of the equation?
y+1=3(x-4)y+1=3(x−4)y, plus, 1, equals, 3, left parenthesis, x, minus, 4, right parenthesis
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (4,-1)(4,−1)left parenthesis, 4, comma, minus, 1, right parenthesis

(Choice B)
B
Only (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis

(Choice C)
C
Both (4,-1)(4,−1)left parenthesis, 4, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis

(Choice D)
D
Neither

Answers

Both (4, 1) and (5, 2) is the solution to the given equation. Therefore, option C is the correct answer.

The given equation is y+1=3(x-4).

A) The given coordinate point is (4, -1).

Substitute (x, y)=(4, -1) in y+1=3(x-4), we get

-1+1=3(4-4)

0=0

So, (4, -1) is the solution to the given equation.

B) The given coordinate point is (5, 2).

Substitute (x, y)=(5, 2) in y+1=3(x-4), we get

2+1=3(5-4)

3=3

So, (5, 2) is the solution to the given equation.

C) Here, both (4, 1) and (5, 2) is the solution to the given equation.

Therefore, option C is the correct answer.

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please help me with this problem about growth and decay.

Answers

Answer:

The population of the town in Iowa after 13 years is 9,130

Step-by-step explanation:

The given parameters of the town are;

The population of the town in Iowa in 2007, a = 12,355

The rate at which the people of the town leave Iowa for Minnesota, r = 2.3% per year

We are required to find the population of the town after t = 13 years

The given population decay function is presented as follows;

[tex]f(t) = a \cdot (1 - r)^t[/tex]

Where;

a = The initial population of the town = 12,355

r = The annual percentage rate at which the people of the town leave Iowa for Minnesota = 2.3% per year = 0.023

t = The number of years over which the population changes = 13 years = 13

∴ f(13) = 12,355 × (1 - 0.023)¹³ = 9130.02734094

Therefore, the population of the town in Iowa after 13 years ≈ 9,130 (we round down to the nearest whole number).

find the 6th term of 6, 8, 32/3

Answers

Answer:

The 6th term of the sequence is 6144/243

Step-by-step explanation:

From what we have, we can see that the sequence might be geometric

to confirm this, we have to check if the common ratio is the same all through

To know this, we have to divide the succeeding term by the preceding term and check if the results for two sets are equal

thus, we have it that;

32/3 * 1/8 = 8/6

= 4/3 = 4/3

We can confirm that the sequence is thus geometric

Now, to find the nth term of a geometric sequence, we have it that;

Tn = ar^(n-1)

where a is the first term, given as 6

r is the common ratio given as 4/3

n is the term number given as 6

Thus, we have this as:

T6 = 6 * (4/3)^(6-1)

T6 = 6 * (4/3)^5

T6 = 6144/243

Kitchen chairs are purchased wholesale for $36 each by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale? $46.08 $57.60 $92.16 $115.20Kitchen chairs are purchased wholesale for $36 each by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale? $46.08 $57.60 $92.16 $115.20

Answers

Answer:

46.08

Step-by-step explanation:

you have to make your percentage a decimal, which 60% will be .60 and 20% will be .20. you then multiply your initial number which is 36 by .60 and add that on because youre adding 60%. After that you will multiply that given number by .20 and you subtract what that product is from your last product you received (36x.60) which if im not mistaken will give you $46.08.

Answer:

C

Step-by-step explanation:

I took the test

To evaluate the performance of a new diagnostic test, the developer checks it out on 150 subjects with the disease for which the test was designed, and on 250 controls known to be free of the disease. Ninety of the
diseased yield positive tests, as do 30 of the controls.
What is the specificity of this test? (2 decimals)

Answers

The specificity of the diagnostic test is 88%, indicating its ability to accurately identify individuals without the disease as negative.

Specificity is a measure of the test's ability to correctly identify individuals without the disease as negative. To calculate the specificity, we need to consider the number of true negatives (controls who yield negative tests) and the total number of controls.

In this case, the number of controls tested is 250, and out of those, 30 yield positive tests. The number of true negatives can be calculated by subtracting the number of false positives (controls who yield positive tests) from the total number of controls:

Negatives which are true = Total Controls - False Positives

True Negatives = 250 - 30 = 220

The specificity is then calculated as the ratio of true negatives to the total number of controls:

Specificity = True Negatives / Total Controls

Specificity = 220 / 250 ≈ 0.88

Therefore, the specificity of this test is approximately 0.88 or 88%. This means that the test correctly identifies 88% of individuals without the disease as negative.

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A computer programmer charges $30 for an initial consultation and $35 per hour for programming. Write a formula for her total charge for h hours of work. *
1 point
A) (30 + 35)h
B) 30 + 35h
C) 35 + 30h
D).65h

Answers

B- 30+35h is the answer for sure

The lifetimes of a certain brand of photographic light are normally distributed with a mean of 210 hours and a standard deviation of 50 hours. a a) What is the probability that a particular light will last more than 250 hours?

Answers

The lifetimes of a certain brand of photographic light are normally distributed with a mean of 210 hours and a standard deviation of 50 hours. We need to find the probability that a particular light will last more than 250 hours.

Given mean = μ = 210 hours. Standard deviation = σ = 50 hours. Let X be the lifetime of a photographic light. X ~ N (μ, σ) = N (210, 50). The probability that a particular light will last more than 250 hours can be calculated as follows: P(X > 250) = 1 - P(X < 250)Let Z be the standard normal variable.

Then, (250 - μ) / σ = (250 - 210) / 50 = 0.8P(X < 250) = P(Z < 0.8). Using the z-table, the probability that Z is less than 0.8 is 0.7881. Therefore, P(X > 250) = 1 - P(X < 250) = 1 - 0.7881 = 0.2119. Hence, the probability that a particular light will last more than 250 hours is 0.2119.

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Other Questions
In a survey of 292 students, about 9.9% have attended more than one play. Whichis closest to the number of students in the survey who have attended more than oneplay?3 students10 students20 students30 students Heidi is having trouble understanding the Black Lives Matter (BLM) movement and why her workplace sent out an email affirming the company's commitment to diversity and inclusion. This is probably because as a white woman from a small town with little exposure to diversity efforts, Heidi has not had much education about what BLM is trying to accomplish. She is wrestling with this new information about systemic racism and ultimately dismisses it as unfounded because it is contrary to her past experiences. This is an illustration of which of the following?a. Stereotyping b. An entrenched mental model c. Leader-Member Exchange Theory d. Ethnocentrism e. Social Identity Theory Explain why government regulation and supervision ofthe financial system is needed. NEED HELP ASAP!!!!A rectangular billboard for a high school is 10 feet high and 20 feet long. In a scale model of the school, the billboard is 3.5 inches long. How many inches tall is the scale model? -i got 1.75 while the rate of violent crime has been declining in the united states since the 1990s, it is still relatively high in comparison to other industrialized countries, like switzerland. what is one likely explanation for the relatively high violent crime rate? HELP Meeting the MentorThe Odyssey: During the Trojan War, Odysseus becomes a favored human of Athena.Example: How did southern states respond to Nat Turners rebellion? The Romantic Era featured two competing philosophies about how music should sound. In your opinion, who was more "right", the Conservatives or the Radicals? Give some reasons. PLEASEE HELPP, NO LINKS AND DONT ANSWER JUST FOR POINTS OR YOU WILL BE REPORTED! Will give brainiest!P.S: I think the answer is b but Im not sure so please help. Please help I will give brainliest! Determine in each case for the linear system X = AX whether theequilibrium point is a sink, a source, a saddle, or a nodal source(centre), and draw the respective phase diagram. what are some common work activities performed by Human Resources Managers? Check all that apply.resolving conflicts and negotiating with othersoperating vehicles, mechanized devices, or equipmenthandling and moving objectsestablishing and maintaining interpersonal relationshipsinspecting equipment, structures, or materialcommunicating with supervisors, peers, or subordinates a 5. Why did the cold war end?A. the Americans lost too many proxy warsB. the Soviet Union collapsed and broke up into 15 independent statesC. the Soviets lost the Soviet Afghanistan warD. the Soviets lost too many proxy wars Explain the differences between zero exposure, ongoing exposure and time-varying exposure to default risk. (2 marks) b. Suppose that the spread between the yield on a three-year default-free zero-coupon bond and threeyear defaultable zero-coupon bond issued by a bank is 350 basis points. The Black-Scholes-Merton price of an option is $6.50. i. How much should you be prepared to pay for it if you buy it from a bank? (1 mark) ii. Assume the option can only default at maturity, and the recovery rate is 30%, what is the riskneutral probability of default? (1 mark) c. A bank enters into a credit derivative where it agrees to pay $100 at the end of one year if a certain companys credit rating falls from A to Baa or lower during the year. If the objective default probability estimated based on historical data are used to value the credit derivative, is it likely to overstate or understate the value of the derivative? Explain. the growth of plant seedlings is usually A.phototropic and gravitropic B.thigmotropic and gravitropic C.phototropic and influenced by ethyleneD.gravitropic and influenced by ethylene WILL GIVE BRAINYEST Why would you want to use some direct quotes to summarize an article?A. To make the summary more interesting for readersB. To make summary a little longer than it would be otherwiseC. To prove that you read the book or article closelyD. To show your reader how smart you are From which movement did socialism grow?A. Industrial RevolutionB.Protestant ReformationC.RenaissanceD.Enlightenment What happens to the amount of carbon dioxide as the population increases? 41. Two samples were drawn from two normally distributed populations. For the first sample, the mean was $50 and the standard deviation was $5. For the second sample, the mean was $55 and the standard deviation was $6. The first sample consists of 25 observations and the second sample consists of 36 observations.Consider the hypotheses structured as H0: 1 = $48 versus Ha: 1 $48. At a 1% level of significance, the null hypothesis:A. cannot be rejectedB. should be rejectedC. cannot be tested using the sample information provided42. William Adams wants to test whether the mean monthly returns over the last five years are the same for two stocks. If he assumes that the returns distributions are normal and have equal variances, the type of test and test statistic are best described as:A. paired comparisons test, t-statisticB. paired comparisons test, F-statisticC. difference in the means test, t-statistic43. For a hypothesis test with a probability of a Type II error of 60% and a probability of a Type I error of 5%, which of the following statements is most accurate?A. The power of the test is 40%, and there is a 5% probability that the test statistic will exceed the critical value(s)B. There is a 95% probability that the test statistic will be between the critical values if this is a two-tailed testC. There is a 5% probability that the null hypothesis will be rejected when actually true, and the probability of rejecting the null when it is false is 40%44. When constructing a confidence interval for the population mean of a nonnormal distribution when the population variance is unknown and the sample size is large (n > 30), an analyst may acceptably use:A. either a z-statistic or a t-statisticB. only a z-statistic at with n degrees of freedomC. only a t-statistic at /2 with n degrees of freedom45. Which of the following is most closely associated with survivorship bias?A. Price-to-book studiesB. Stratified bond sampling studiesC. Mutual fund performance studies46. Which of the following is least likely a property of Students t-distribution?A. As the degrees of freedom get larger, the variance approaches zeroB. It is defined by a single parameter, the degrees of freedom, which is equal to n 1C. It has more probability in the tails and less at the peak than a standard normal distribution47. Which of the following terms represents an upper price limit for a stock, based on the quantity of willing sellers?A. TrendlineB. ChannelC. Resistance48. The daily opening price is represented on a candlestick chart by the:A. Real bodyB. ChannelC. Shadow49. One of the most popular tools used by technical analysts is:A. P/E ratioB. Growth rate of dividendsC. Moving averages50. Which of the following indicates a sell signal to technical analysts?A. The advance-decline line is rising in a falling marketB. The amount of short selling done by specialists is highC. The resistance level is broken I need this done today please help!