Answer:
-10/7
Step-by-step explanation:
Use slope formula
[tex]\frac{y2-y1} {x2-x1}[/tex]
x1= -3
y1 = 5
x2 = 4
y2 = -5
[tex]\frac{-5-5}{4--3}[/tex]
[tex]\frac{-5 + -5}{4 +3}[/tex][tex]\frac{-10}{7}[/tex]
The manager of the City of Industry Electronics store is concerned that his supplier has been giving him TV sets with lower than average quality. His research shows that replacement times for TV sets have a mean of 7.5 years and a standard deviation of 5 years. He then randomly selects 64 TV sets sold in the past and found that the mean replacement time is 6 years. Determine the probability that the 64 randomly selected TV sets will have a mean replacement time of 6 years or less. Find the z score (round to two decimals) QUESTIONS 2b. What do you get from Table A? QUESTION 6 20. Determine the probability that the 64 randomly selected TV sets will have a mean replacement time of 6 years or loss. (round to a percent with two decimals)
The probability that the 64 randomly selected TV sets will have a mean replacement time of 6 years or less is approximately 0.0048, or 0.48%.
To calculate this probability, we need to standardize the sample mean using the z-score formula and then find the corresponding probability from the standard normal distribution.
The formula for the z-score is:
z = (x - μ) / (σ / √n)
where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, x = 6, μ = 7.5, σ = 5, and n = 64. Substituting these values into the formula, we get:
z = (6 - 7.5) / (5 / √64)
Simplifying the expression:
z = -1.5 / (5 / 8)
z = -1.5 * 8 / 5
z = -2.4
From Table A (standard normal distribution table), the area to the left of z = -2.4 is approximately 0.0082.
However, since we are interested in the probability of obtaining a mean replacement time of 6 years or less, we need to find the area to the right of z = -2.4. This is given by:
1 - 0.0082 = 0.9918
Therefore, the probability that the 64 randomly selected TV sets will have a mean replacement time of 6 years or less is approximately 0.0048, or 0.48%.
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The average size of a farm in Indiana County, Pennsylvania, is 191 acres. The average size of a farm in Greene County, Pennsylvania, is 199 acres. Assume the data were obtained from two samples with standard deviations of 38 and 12 acres, respectively, and sample sizes of 8 and 10, respectively. Can it be concluded at α = 0.05 that the average size of the farms in the two counties is different? Assume the populations are normally distributed.
(Perform this hypothesis test with both the traditional method and the p-value method and label which technique is the traditional method and which one is the p-value method.)
Yes, it can be concluded at α = 0.05 that the average size of the farms in the two counties is different.
Traditional Method:
To test the hypothesis that the average sizes of farms in Indiana County and Greene County are different, we can use a two-sample t-test. The traditional method involves the following steps:
1. Formulate the null hypothesis (H0) and the alternative hypothesis (Ha):
H0: μ1 = μ2 (The average sizes of farms in both counties are equal)
Ha: μ1 ≠ μ2 (The average sizes of farms in both counties are different)
2. Determine the significance level (α): α = 0.05 (given)
3. Calculate the test statistic:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
4. Determine the degrees of freedom:
df = n1 + n2 - 2
5. Find the critical value(s) corresponding to the chosen significance level and degrees of freedom from the t-distribution table.
6. Compare the test statistic with the critical value(s) to make a decision:
If the absolute value of the test statistic is greater than the critical value(s), reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
P-value Method:
Alternatively, we can use the p-value method to perform the hypothesis test. The p-value is the probability of obtaining a test statistic as extreme as the observed value (or more extreme), assuming the null hypothesis is true.
1. Formulate the null hypothesis (H0) and the alternative hypothesis (Ha) as mentioned earlier.
2. Determine the significance level (α): α = 0.05 (given)
3. Calculate the test statistic as described above.
4. Calculate the p-value corresponding to the test statistic using the t-distribution.
5. Compare the p-value with the significance level:
If the p-value is less than α, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
In this case, both the traditional method and the p-value method lead to the same conclusion. If the p-value is less than 0.05, we reject the null hypothesis and conclude that the average sizes of farms in Indiana County and Greene County are different.
Note: Since the sample sizes are relatively small (8 and 10), it is assumed that the populations are normally distributed.
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help plz I will give brainliest
Answer: what do you need help with??
Step-by-step explanation:
Turn the fraction 5/8 in to a percent.
Answer:
62.5%
Step-by-step explanation:
Answer:
62.5%
Explanation:
Divide 100 by 8 to get 12.5
Multiply 12.5 by 5
Equals 62.5
The center of the sphere x2 + y2 +2 +4x – 2y – 62= Dis: - 6z= - (4, -2,9) 4 (-4, 2, 6) (1,1) (0,0,0) (-2,-1,3) (-2,1,3) (-4, 2, 6) (2, 1, 3) ?
The center of the sphere is (-2, 1, 0).
The radius of the sphere is √65.
The given equation is x² + y² + 2 + 4x - 2y - 62 = 0.
We can rewrite the given equation as follows:
x² + 4x + y² - 2y = 60
Completing the square of x and y, we get:
(x + 2)² - 4 + (y - 1)² - 1 = 60
(x + 2)² + (y - 1)² = 65
Now, we know that the general equation of the sphere is :
(x - a)² + (y - b)² + (z - c)² = r² where (a, b, c) is the center of the sphere, and r is the radius.
To compare the given equation with the equation of the sphere, we will have to convert it into the standard form as follows:
(x + 2)² + (y - 1)² + (0 - 0)² = √65²
The center of the sphere is (-2, 1, 0), and its radius is √65.
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A store owner buys a case of 144 pens for $28.80. He sells the pens for $0.40 each. The owner claims that they marked the pens up by 50% before selling them. Prove that the owner calculated their markup correctly. If they did not, how much of a markup actually occurred?
Answer: $0.3
Step-by-step explanation:
Given
The owner buys 144 pens for $28.80 i.e. each pen costs
[tex]\dfrac{28.80}{144}=\$0.2[/tex]
owner sells the pen at $0.4 i.e. price marked up by
[tex]\Rightarrow \dfrac{0.4-0.2}{0.2}\times 100=100\%[/tex]
So, the claim of the owner is incorrect
The actual increase in the price to get 50% markup
[tex]\Rightarrow 0.2\times (1+0.5)=\$0.3[/tex]
can somebody help me pls
Answer:
C. 37
Step-by-step explanation:
winindoutpickc
A thermometer reading 96°F is placed inside a cold storage room with a constant temperature of 37°F. If the thermometer reads 88°F in 5 minutes, how long before it reaches 58°F? Assume the cooling follows Newton's Law of Cooling: U = T+ (U. - T)ekt (Round your answer to the nearest whole minute.) 45 minutes 0 1 minutes 0 16 minutes 14 minutes
It takes approximately 14 minutes for the thermometer to reach a temperature of 58°F in the cold storage room. This calculation is based on Newton's Law of Cooling and the initial and final temperature readings.
To determine how long it takes for the thermometer to reach 58°F, we can use Newton's Law of Cooling. Let's plug in the given values into the equation and solve for the time (t):
88 = 37 + (96 - 37)e^(k * 5)
Simplifying the equation, we have:
51 = 59e^(5k)
Taking the natural logarithm of both sides:
ln(51/59) = 5k
Solving for k, we find:
k ≈ -0.0436
Now, we can use this value of k to find the time (t) when the thermometer reaches 58°F:
58 = 37 + (96 - 37)e^(-0.0436 * t)
Simplifying further, we have:
21 = 59e^(-0.0436 * t)
Taking the natural logarithm again:
ln(21/59) = -0.0436 * t
Solving for t, we find:
t ≈ 13.58
Rounding to the nearest whole minute, it takes approximately 14 minutes for the thermometer to reach 58°F.
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Given the points A(-4,-1) B(-2,-5) C(0,1) D(2,-3)
What is the most precise name of this shape?
Trapezoid
---
hope it helps
sorry if i'm wrong
i used mental maths
Dude That's a square not a trapezoid
i need help on this one to .
Answer:
Oh Lol i didnt even see the pic
Step-by-step explanation:
Answer:
5*2=10
10*8=80
Step-by-step explanation:
Multiply all number!!!
A firm is considering a the launch of a new consumer product. Consider the following costs. Which should be included in it's capital budget cash flow analysis?
Group of answer choices
the costs the firm spends on financing
the firm's sunk costs
the firm's decline in current sales when the new product is launched
all the firm's opportunity costs
2-What is the source of a firm's financial leverage?
Group of answer choices
A firm's changes in EBIT.
A firm's variability in fixed operating costs.
A firm's variability in sales.
The use of debt and preferred stock.
3-Operating risk derives from ...
Group of answer choices
the risk that comes from the type of industry in which a firm operates.
the variability of a firm's stock price.
the risk that comes from a firm’s mix of fixed and variable costs.
the risk that comes from a firm’s mix of long-term debt and equity
4-Which of the following is a not legal constraint on the payment of dividends?
Group of answer choices
The firm’s liabilities exceed its assets.
The dividend would be paid from the retained earnings of a firm.
The dividend would be paid from capital invested in the firm.
The amount of the dividend exceeds the firm’s retained earnings.
5-According to the _______________, investors view changes in a firm’s dividend policy as a signal about the firm’s financial condition.
Group of answer choices
Residual dividend theory
Clientele effect
Information effect
1. The costs the firm spends on financing should be included in its capital budget cash flow analysis. This includes expenses related to obtaining funds for the project, such as interest payments on loans or fees for issuing stocks.
2. The source of a firm's financial leverage is the use of debt and preferred stock. By utilizing debt and preferred stock, a company can increase its financial leverage, which refers to the use of borrowed funds to finance its operations or investments.
3. Operating risk derives from the risk that comes from a firm's mix of fixed and variable costs. This refers to the uncertainty and potential negative impact on profitability due to the combination of fixed costs (such as rent, salaries) and variable costs (such as raw materials, utilities) in a company's cost structure.
4. The firm's liabilities exceeding its assets is not a legal constraint on the payment of dividends. This constraint is related to solvency and insolvency issues and not directly linked to the payment of dividends.
5. According to the information effect, investors view changes in a firm's dividend policy as a signal about the firm's financial condition.
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The length of a rectangle is 15ft greater than the width. The area is 100 square ft. Find the length and the Width.
Step-by-step explanation:
so let's say that the width is x then the length is x+15
and the area of a square is length times width
x(x+15)=100
x^2+15x-100=0
(x+20)(x-5)=0
x=5 or x=-20 but a side length can't be negative so x would equal 5
Length=x+15 with 5 as x
Length=20
Width=5
Hope that helps :)
If your having trouble with math go to Wolframalpha.com
Answer:
Thanks for letting me know I might try that later today
Step-by-step explanation:
:)
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
Answer:
The answer is A.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A is the correct answer on Edge
Graph -2, 0.5, and 3 on a number line
Step-by-step explanation:
all you have to do is number the line from -5 to 5 and just plot the points next to it
One of Japan's superconducting "bullet" trains is researched and tested at the Yamanashi Maglev Test Line near Otsuki City. The steepest section of the track has a horizontal distance of 6,450 meters with a grade of 40%. a a. What would be the elevation change in this section? b. What is the actual distance of the track in this section? Convert the distance to km and write your answer to the nearest tenth of a kilometer. 3. Which plane is closer to the tower? Explain
Japan's superconducting bullet that is being tested in Yamanashi Maglev Test Line will have an elevation of 2580 meters and actual distance of the track as 6.9 kilometers.
A. To calculate the elevation change in the steepest section of the track:
Grade = 40% (Given)
Horizontal distance = 6450 meters (Given)
Elevation change = Grade × Horizontal distance
= 40% × 6,450 meters
= 0.40 × 6,450 meters
= 2,580 meters
Therefore, the elevation change in this section of the track will be 2,580 meters.
B. To find the actual distance of the track in this section:
By using Pythagorean theorem, the horizontal distance represents the base of a right triangle, and the elevation change represents the height.
Actual distance of the track = √(Horizontal distance² + Elevation change²)
= √(6,450² + 2,580² )
= √(41,602,500 + 6,656,400)
= √48,258,900
= 6,945 meters
= 6.9 kilometers
Therefore, the actual distance of the track in this section will be 6.9 kilometers.
C. To determine which plane is closer to the tower:
Plane A: Altitude = 20,000 ft, Distance from tower = 5 km
Plane B: Altitude = 8,000 ft, Distance from tower = 7 km
1 ft is approximately equal to 0.0003048 km.
Altitude of Plane A in km = 20,000 ft × 0.0003048 km/ft ≈ 6.096 km
Altitude of Plane B in km = 8,000 ft × 0.0003048 km/ft ≈ 2.4384 km
On comparing the distances, we find that Plane A is closer to the tower than Plane B.
Therefore, Plane A is closer to the tower as compare to Plane B.
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Javier's fuel tank holds 15 galipns completely full. He had some in the tank and added 9.6
gallons of gasoline to fill it completely.
How many gallons of gasoline were in the tank before Javier added some?
Answer:
6.4 because subtract 9.6 from 15
Find the missing side of this right triangle 7 12
Answer:
Well since the question ask for what in the green box, its 193
193 goes in the green box
If you solve everything it would be 13.89 (rounded to the nearest hundredths)
Step-by-step explanation:
So missing side of a right triangle, you can use the Pythagorean Theroum which is a^2+b^2=c^2
In this case we have the two legs which are a and b, we’re trying to find hypotnuse, “c”.
7^2+12^2=c^2
49+144=c^2
193= c^2
You basically do √193
which is the answer needed for this situation
Final answer: is 193 goes into the green box
⚠️ BRAIN LIST ⚠️
⚠️ BRAIN-LIST ⚠️
Please HELP. Solve anyone!!!
Answer:
1) x = 36
2) x = 127
3) x = 36
Step-by-step explanation:
1)
x + 144 = 180
x = 36
2)
15 + x + 38 = 180
x + 53 = 180
x = 127
3)
2x + 16 + 92 = 180
2x + 108 = 180
2x = 72
x = 36
Populations of aphids and ladybugs are modeled by the equations dA = 2A 0.01AL dt dL = -0.5L + 0.0001AL. dt (a) Find an expression for dL/dA. dL dA 0.5L + 0.0001AL 2A – 0.01AL
The expression for dL/dA, which represents the rate of change of ladybugs (L) with respect to aphids (A), is 0.5L + 0.0001AL - 2A + 0.01AL.
To find the expression for dL/dA, we need to differentiate the equation dL/dt with respect to A. The given equations are:
dA/dt = 2A - 0.01AL
dL/dt = -0.5L + 0.0001AL
To find dL/dA, we differentiate dL/dt with respect to A:
dL/dA = (dL/dt) / (dA/dt)
Substituting the given equations into this expression, we have:
dL/dA = (-0.5L + 0.0001AL) / (2A - 0.01AL)
Simplifying further, we can rearrange the terms:
dL/dA = -0.5L / (2A - 0.01AL) + 0.0001AL / (2A - 0.01AL)
Combining the terms with a common denominator, we get:
dL/dA = (0.0001AL - 0.5L) / (2A - 0.01AL)
So, the expression for dL/dA is (0.0001AL - 0.5L) / (2A - 0.01AL), which represents the rate of change of ladybugs with respect to aphids in the given model.
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QUICK! Giving Brainliest to whoever gives the correct answer
Answer:
taco bell
Step-by-step explanation:
per one taco at taco bell $0.53
per one taco at los comales $0.62
A red car left the park at 9 am. An hour later a blue car left the same park, heading to the same destination. If both cars arrived at the destination at 1 pm, and the speed of the blue car was 15 mph faster than the red car, what was the speed of the blue car?
Answer: 60 mph
Step-by-step explanation:
Given
The red car left at 9 am and arrives at 1 pm
time taken by the red car [tex]t_a=4\ hr[/tex]
time taken by the blue car [tex]t_b=3\ hr[/tex]
Assume the speed of the red car is v
So, the speed of the blue car is v+15
distance traveled by them is the same
[tex]\Rightarrow v\times 4=(v+15)\times 3\\\Rightarrow 4v=3v+45\\\Rightarrow v=45\ mph[/tex]
Thus, the speed of the blue car is [tex]45+15=60\ mph[/tex]
Find the area of the trapezoid. Leave your answer in simplest radical form.
5 cm
Not drawn to scale
A.
94.5 cm
B.
31.5 cm
c.
7 cm
D.
81 cm
Answer:
A)94.5 cm
Step-by-step explanation:
height = 9cm
Base 1 = 5cm
Area of a Trapezoid = 1/2 × (b1 + b2)h
h = 9cm
b1 = 5cm
b2 = (9 cm + 5cm + 2cm) = 16cm.
Area of Trapezoid
= 1/2 (5 + 16) × 9
= 1/2 × 21 × 9
= 94.5 cm
Option A is the correct answer
An object with mass m = 1 kg is attached to a spring with spring constant k and a dashpot with c = 12 N The mass is set in motion with initial position Xo = 1 meter and v = -2 meters/second. m/s 1a. (5 points) The spring is stretched 0.5 meters by a force of 13.5 N. Find the spring constant k (in units of ). (Ignore the dashpot in when finding k.) N m 1d. (15 points) Find the undamped position function u(t) = C cos(wt - a) that would result if the mass and spring were set in motion with the same initial position xo = 1 and vo = -2, but with the dashpot disconnected. In order words, solve the initial value problem u" + 274 = 0, u(0) = 1, u'(0) = -2 and write your answer in the form u(t) = C cos(wt - a). You may use decimals instead of exact values during your solution. Use at least 4 decimal places in your work and final answer.
The spring constant k is approximately 35 N/m.
The spring constant (k) represents the stiffness of a spring and is defined as the force required to stretch or compress the spring by a unit distance. In this case, we are given that the spring is stretched by a force of 13.5 N, resulting in a displacement of 0.5 meters.
To find the spring constant, we can use Hooke's Law, which states that the force exerted by a spring is proportional to its displacement. Mathematically, this can be expressed as F = kx, where F is the force, k is the spring constant, and x is the displacement.
Using the given values, we have:
13.5 N = k * 0.5 m
Solving for k, we find:
k ≈ 35 N/m
Therefore, the spring constant for this system is approximately 35 N/m.
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If as of December 31, 2017 in the judicial offices there were 2,535,225 complaints of domestic violence and by December 31, 2019 that figure reached 2,956,300.
What is the annual growth rate under the exponential model (round to the nearest hundredth, record your answer to two decimal places, and use a period to separate)?
The annual growth rate under the exponential model is approximately 0.17 or 17%.
To calculate the annual growth rate under the exponential model, we can use the formula:
Annual Growth Rate = (Final Value / Initial Value) ^ (1 / Number of Years) - 1
In this case, the initial value is 2,535,225 complaints of domestic violence as of December 31, 2017, and the final value is 2,956,300 complaints as of December 31, 2019. The number of years is 2.
Plugging in the values:
Annual Growth Rate = (2,956,300 / 2,535,225) ^ (1 / 2) - 1
= 1.1654 - 1
= 0.1654
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Someone please help this is due tomorrow!
Answer:
Sam made a mistake. The answer should have been 30.
This is what Sam should have done:
2n^2 - 20
2n^2 - 20 = 2(5)^2 - 20
= 2(25) - 20
= 50 - 20
= 30
Sam multiplied 2 and 5 when he should have done the power first.
PLEASEEEE HELP I WILL GIVE BRAINLIEST!!
June, July, and August are the hottest months in Las Vegas. What are the average maximum temperatures for these months?
HELP HELP HELP
Answer:
The average is 5.41666667 degrees.
Step-by-step explanation:
Alicia Bitman, age 30, plans to purchase a $200,000, 5-year term life insurance policy. What is the annual premium?
Answer: $770
Step-by-step explanation:
Number of units to be purchased by Alicia:
= 200,000 / 1,000
= 200 units
Alicia is purchasing a 5-year term life insurance policy. At age 30, the cost per $1,000 unit of insurance is $3.85 for a female.
The formula for the annual premium is:
= Number of units purchased * Premium per $1,000
= 200 * 3.85
= $770
let g be a differentiable function such that g(4)=0.325 and g′(x)=1xe−x(cos(x100)) . what is the value of g(1) ? responses
To find the value of g(1), we need to integrate g'(x) and use the given initial condition g(4)=0.325. By integrating g'(x), we can determine the function g(x) and evaluate it at x=1 to find the desired value.
To find g(x), we integrate g'(x) with respect to x. The integral of 1/x * e^(-x) * cos(x^100) requires advanced techniques and cannot be expressed in elementary functions. Therefore, we rely on numerical methods or approximation techniques to evaluate the integral. Once we obtain the antiderivative of g'(x), denoted as G(x), we can use the initial condition g(4)=0.325 to determine the constant of integration.
Once we have the expression for g(x), we substitute x=1 to find g(1), which will provide the desired value.
Note that the process of evaluating the integral and determining g(x) can be computationally intensive and may require numerical approximation methods or specialized software tools.
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(a) Draw a picture of a connected undirected graph having degree sequence 2, 2, 3, 3, 4, or explain
why no such graph exists.
(b) Does the graph you drew in part (a) have (Give reasons for each Yes/No answer)
(i) an Euler circuit?
(i) an Euler path?
(ii) a Hamiltonian circuit?
There exists a connected undirected graph with a degree sequence of 2, 2, 3, 3, 4. This graph does not have an Euler circuit or an Euler path, but it does have a Hamiltonian circuit.
To construct a graph with the given degree sequence, we can start by connecting the vertices with the highest degree (degree 4) to each other. This ensures that each of these vertices has a degree of at least 4. Then, we can connect the vertices with degree 3 to the remaining vertices. Finally, we connect the remaining vertices with degree 2 to complete the graph.
(a) Yes, a connected undirected graph having degree sequence 2, 2, 3, 3, 4 does exist. Here is an example of such a graph:
1
/ \
2 - 3
\ /
4
\
5
In this graph, vertex 1 has degree 2, vertex 2 has degree 3, vertex 3 has degree 4, vertex 4 has degree 3, and vertex 5 has degree 2.
(b) (i) No, this graph does not have an Euler circuit. An undirected, connected graph has an Eulerian circuit if and only if it has 0 vertices of odd degree1. In this case, the graph has 4 vertices of odd degree (1, 2, 4, and 5), so it does not have an Euler circuit.
(ii) Yes, this graph does have an Euler path. An undirected, connected graph has an Eulerian path if and only if it has either 0 or 2 vertices of odd degree1. In this case, the graph has 4 vertices of odd degree (1, 2, 4, and 5), so it does not have an Euler circuit but it does have an Euler path.
(iii) No, this graph does not have a Hamiltonian circuit. A Hamiltonian circuit is a cycle that visits each vertex exactly once. This graph does not have a Hamiltonian circuit because there is no way to visit all the vertices exactly once and return to the starting vertex without repeating any edges or vertices.
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