A local U-Move moving truck rental company provides the following probability distribution regarding the number of rental trucks that will be rented in a given week. Find the number of rental trucks the company can expect to rent during a given week.
Number of Rented Trucks Probability
0 0.23
1 0.18
4 0.27
5 0.32
a) 2.6800
b) 2.8600
c) 0.6700
d) 2.3100
e) 0.7150
f) None of the above.

Answers

Answer 1

Option (b) 2.8600 is the correct answer.

To find the number of rental trucks that a local U-Move moving truck rental company can expect to rent during a given week, we need to find the expected value of the probability distribution.

The expected value of a probability distribution is given by:

Expected Value = Sum of (Number of Rented Trucks × Probability)

Therefore, Expected Value = (0 × 0.23) + (1 × 0.18) + (4 × 0.27) + (5 × 0.32)

Expected Value = 0 + 0.18 + 1.08 + 1.6Expected Value = 2.86

Therefore, the company can expect to rent 2.86 rental trucks during a given week. Option (b) 2.8600 is the correct answer.

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Related Questions

The Mavericks football team was losing when they got
control of the ball at midfield in the last minute of a game.
They lost 17 yards on the first play they ran. Then they
gained 3 yards on the second play. On the third play, the
Mavericks lost 21 yards, and on the fourth play, they lost
8 yards. What was the position of the ball relative to its
starting point after those four plays?
A 33 yd
B -50 yd
C 9 yd
D- 43 yd

Pls help I’m doing a renaissance test

Answers

Answer:

-43 yards is the answer...

Please help me with this questions please please ASAP ASAP please ASAP help please please ASAP please I'm begging you please please ASAP

Answers

Answer:

Question 3: 8000

Question 4: 300

Answer:

3. 8,000

4. 300

Step-by-step explanation:

3.

2/5 * 20,000 = 2 * 20,000/5 = 2 * 4,000 = 8,000

Answer: 8,000

4.

Use a proportion.

10/2 = x/60

5/1 = x/60

x = 5 * 60

x = 300

Answer: 300

If 5.90 × 1.8 = 10.62, what does 106.2 ÷ 59 equal?

Answers

Answer:

1.8

Step-by-step explanation:

- hope this helps!!

A 2-g antibiotic vial stales "Reconstitute with 8.6 mL of sterile water for a final volume of 10 ml.* What is the concentration of the vial after reconstitution?

A. 2 g/8.6 mL

B. 232.6 mg/mL

C. 0.234 mg/mL

D. 200 mg/mL

Answers

The correct answer is option B. 232.6 mg/mL which is the concentration of the vial after reconstitution.

To determine that 232.6 mg/mL is the concentration of the antibiotic vial after reconstitution, we need to calculate the amount of antibiotic in grams divided by the final volume in milliliters.

The vial states that it needs to be reconstituted with 8.6 mL of sterile water for a final volume of 10 mL. This means that the antibiotic will be dissolved in 8.6 mL of sterile water.

Since the vial contains 2 grams of antibiotic, the concentration can be calculated as follows:

Concentration = Amount of antibiotic (g) / Final volume (mL)

Concentration = 2 g / 8.6 mL

Simplifying the expression, we get:

Concentration ≈ 0.2326 g/mL

Therefore, the correct option is B) 232.6 mg/mL, the concentration of the vial after reconstitution.

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Please help me to finish the table! D:

Answers

Answer: 32, 27, 20

Step-by-step explanation: This is a quadratic table.

Solve for X, assume that all segmented that appear to be tangent are tangent.

Answers

Answer:

Step-by-step explanation:

x = 9


[tex] \sqrt[3]{625} [/tex]
how would I simplify this without decimals & show work?

Answers

Answer:

[tex]5\sqrt[3]{5}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{625}[/tex] factor [tex]625^{1/3}[/tex]=[tex]5(5^{1/3} )[/tex]=5\sqrt[3]{5}

Hope that helps :)

Please help with these questions... I've been trying to figure them out for like twenty minutes and at this point I just don't have the energy anymore... I will pick brainliest! Always do...

Answers

Answer:

1. y=2x^2-8X-1

2. y=-6x^2+36x-63

3. y=-3x^2+18x-34

4. y=9x^2+54x+76

5. y=-x^2+8x-22

6. y=6x^2-48x+90

7. y=8x^2+16x+5

8. y=2x^2-8x+1

Have a great day :)

Help Me Please Quick Will Mark Brainliest if correct : - )

Answers

Answer:

y=2x+3

Step-by-step explanation:

Lets verify

[tex]\\ \sf\longmapsto -1=2(-2)+3=-4+3=-1[/tex]

[tex]\\ \sf\longmapsto 1=2(-1)+3=-2+4=1[/tex]

Hence verified

Answer:

C): y = 2x + 3

Step-by-step explanation:

• when x is -2:

[tex]{ \tt{y = 2(- 2) + 3}} \\ { \tt{y = - 1}}[/tex]

• when x is -1:

[tex]{ \tt{y = 2( - 1) + 3}} \\ { \tt{y = 1}}[/tex]

• since y holds for -2 and -1, it'll hold for other positive integers.

can someone help me complete this???

Answers

Answer:

Part A

750, 2250, 6750, 20250, 60750

Part B

1640250

An unknown radioactive element decays into non-radioactive substances. In 560 days the radioactivity of a sample decreases by 36 percent.

(a) What is the half-life of the element?
half-life:

(b) How long will it take for a sample of 100 mg to decay to 55 mg?
time needed:

Answers

After taking the given data into consideration we conclude that
a) the half-life of the unknown radioactive element is approximately 1921.7 days.
b) approximately 1011.4 days, or about 2.77 years, for a sample of 100 mg to decay to 55 mg.

(a) The half-life of a radioactive element is the time needed for half of the material to decay. To find the half-life of the unknown radioactive element, we can use the fact that in 560 days, the radioactivity of a sample decreases by 36 percent. Let T be the half-life of the element. Then, we have:
[tex]0.5 = (1 - 0.36)^{(560/T)}[/tex]
Simplifying this equation, we get:
[tex]0.5 = 0.64^{(560/T)}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(0.5) = ln(0.64)^{(560/T)}[/tex]
[tex]ln(0.5) = (560/T) * ln(0.64)[/tex]
Solving for T, we get:
[tex]T = -560 / (ln(0.64) * ln(0.5))[/tex]
[tex]T \approx 1921.7 days[/tex]

(b) To find how long it will take for a sample of 100 mg to decay to 55 mg, we can use the half-life formula:
[tex]N = N_0 * (1/2)^{(t/T)}[/tex]
where:
N is the final amount, which is 55 mg in this case
[tex]N_0[/tex] is the initial amount, which is 100 mg in this case
t is the time it takes for the sample to decay from [tex]N_0[/tex] to N
T is the half-life of the element, which we found to be approximately 1921.7 days
Substituting the values, we get:
[tex]55 = 100 * (1/2)^{(t/1921.7)}[/tex]
Simplifying this equation, we get:
[tex]0.55 = (1/2)^{(t/1921.7)}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(0.55) = (t/1921.7) * ln(1/2)[/tex]
Solving for t, we get:
[tex]t = -1921.7 * ln(0.55) / ln(1/2)[/tex]
[tex]t \approx 1011.4 days[/tex]
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I’m not an expert at simplifying, so I need help

Answers

Answer: it's  1 1/2

please give me brainlest

Can someone plz help me

Answers

Answer:

73.12 m2

Step-by-step explanation:

determine triangle area.

8x12=96   96/2=48

determine area of half circle

diameter=8

radius=4

4π²/2=25.1327412287

add two areas together.

48+25.1327412287=73.1327412287

round the nearest hundredth

73.1327412287=73.12 m2

what is the greatest common factor of 20 and 50

Answers

Answer:

the answer is  10

Step-by-step explanation:

Answer: 10

Why? Because 10x5=50 and then 10x2=20 ten can be used for both of them! Hope this helps^^ please give me brainlist if you could but you don’t have too!^^

Choose the correct definition. Group of answer choices Sensitivity refers to the probability that a test correctly classifies as positive individuals who have preclinical disease. Sensitivity refers to the probability that a test correctly classifies individuals without preclinical disease as negative Specificity refers to the probability that a test correctly classifies individuals with preclinical disease as positive Specificity refers to the probability that a test correctly classifies as positive individuals who have preclinical disease.

Answers

Answer:

the probability that a test correctly classifies as positive individuals who have preclinical disease

Step-by-step explanation:

Sensitivity represents the true positive percentage

Lets take an example if there is 90% sensitivity that means there are 90% people who have the target disease considered the test positive

So according to the given options, it is the probability in which if the test is done in a correct manner so this means that the positive individuals have the preclinical disease

Therefore the first option is correct

Can someone please tell me if I’m correct, quick

Answers

Answer: I believe your answer is correct .

Answer:

yes i belive  u got it right

Step-by-step explanation:

let {bn} be a sequence of positive numbers that converges to 1/2 . determine whether the given series is absolutely convergent, conditionally convergent, or divergent.
[infinity]Σ bn^n cos nπ / n n=1
a. absololutely convergent
b. conditionally convergent
c. divergent

Answers

The given series Σ (bnₙⁿ cos nπ)/n is conditionally convergent.

To determine the convergence of the series, we need to examine the behavior of the terms and apply the convergence tests. Given that {bₙ} is a sequence of positive numbers that converges to 1/2, we can conclude that bnₙⁿ approaches 1/2 as n approaches infinity.

Considering the term (bnₙⁿ cos nπ)/n, we have the alternating factor cos nπ which oscillates between -1 and 1 as n varies. The absolute values of the terms bnₙⁿ/n decrease monotonically to zero.

By the Alternating Series Test, if a series has alternating signs and the absolute values of its terms decrease monotonically to zero, then the series is conditionally convergent. Therefore, the given series Σ (bnₙⁿ cos nπ)/n is conditionally convergent.

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Complete question - Let {bₙ} be a sequence of positive numbers that converges to 1/2 . determine whether the given series is absolutely convergent, conditionally convergent, or divergent.

[n =1 to infinity]Σ (bnₙⁿ cos nπ)/n =1

a. absolutely convergent

b. conditionally convergent

c. divergent

3.
Mrs Rita buys 6 cartons of soya bean milk. Each carton contains 1.251
of soya bean milk. Does Mrs Rita have enough soya bean milk to fill up
20 mugs with a capacity of 320 ml each? Explain.​

Answers

Yes, it is possible to fill all twenty mugs.

Find the slope And y-intercept

Answers

Answer:

Answer is (a)

Step-by-step explanation:

Well I didn’t really do any work but you can tell right away theres a ton of slope options so you can’t eliminate from there, BUT when you look at the y-intercept, 3 is the only y-intercept option here and the only choice with the y-intercept of 3 is (a).

Recall the following definition of an Geometric Sequence. A sequence do, 21, 22, ... is called an geometric sequence if, and only if there is a constant r such that ak = r.24-1 where k> 1. Also recall that we "claimed" the explicit formula for the nth term of the geometric sequence is given by an = no pot where n > 0. Use mathematical induction to prove that our claim is true.

Answers

To prove that the explicit formula for the nth term of a geometric sequence is given by an = a₀.rⁿ, we will use mathematical induction. Mathematical induction is a proof technique used to establish a statement or property for all natural numbers or integers greater than or equal to a starting value.

Step 1: Base Case

For n = 0, the formula gives a₀.r⁰ = a₀, which is the first term of the sequence. So, the formula holds true for the initial value.

Step 2: Inductive Hypothesis

Assume that the formula holds for some arbitrary value k, i.e., ak = a₀.rᵏ.

Step 3: Inductive Step

We need to prove that the formula also holds for k+1, i.e., a(k+1) = a₀.r^(k+1).

Using the definition of a geometric sequence, we have:

a(k+1) = r.aₖ

Now substitute the inductive hypothesis into the above equation:

a(k+1) = r.(a₀.rᵏ) = (r.a₀).rᵏ = a₀.r^(k+1)

Therefore, we have shown that if the formula holds for k, then it also holds for k+1.

Step 4: Conclusion

By the principle of mathematical induction, the explicit formula for the nth term of a geometric sequence, given by an = a₀.rⁿ, is true for all non-negative integers n.

Thus, we have proved the claim using mathematical induction.

The question should be:

Recall the following definition of an Geometric Sequence.

A sequence a₀, a₁, a₂, ... is called an geometric sequence if, and only if there is a constant r such that

ak = r.a_k_-1 where k≥ 1.

Also recall that we "claimed" the explicit formula for the nth term of the geometric sequence is given by

an = a₀.rⁿ  where n≥ 0. Use mathematical induction to prove that our claim is true.

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SQL A. Is portable among different implementations B. Is object oriented C. Is better than NoSQL D. Is based on relational algebra

Answers

SQL (Structured Query Language) is a widely used language for managing relational databases. It is portable among different implementations and based on relational algebra.

SQL is a language designed for managing and manipulating structured data in relational databases. It provides a standardized way to interact with databases and perform various operations such as querying, inserting, updating, and deleting data. One of the advantages of SQL is its portability, meaning that SQL code can be written to work with different database management systems (DBMS) as long as they support the SQL standard. This portability allows for easy migration of databases between different systems.

SQL is based on relational algebra, which is a mathematical framework for working with relational databases. It defines operations and rules for manipulating relations (tables) and performing relational queries. The foundations of SQL are rooted in the principles of relational algebra, providing a solid basis for database management.

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Find an expression of a(t) if 8t (b) (2 points) If A(4) = 30, find A(2). 1+ t2

Answers

The expression for a(t) is 8(1-t)/(1+t)² and A(2) = -8/9.

What is the expression of a(t)?

An expression is a combination of numbers, variables, and operations. Expressions can be used to represent quantities, relationships, and functions. While there are different types of expression such as arithmetic expression, algebraic expression and function, this as an algebraic expression.

To determine the expression that represents a(t); we have to factor the expression 8t/(1+t²).

8t/(1+t²) = 8t/(1+t)(1-t)

Dividing by 1 - t

a(t) = 8t/(1+t)

Simplifying further;

a(t) = 8(1-t)/(1+t)²

To solve for A(2), we need to plug t = 2 into the expression;

A(2) = 8(1-2)/(1+2)²

A(2) = -8/9

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A bathtub in the shape of A rectangular prism is 20 meters long 10 meters wide and 2 meters deep how much water can the bathtub hold

Answers

Answer:

Topic : CIRCLE

1. Capture/ cut outs pictures that represents a Circle then paste it in a long band paper.

2. Make a reflection in CERA form

C-Content (min. 5sentence)

E- experience(min. 5 sen.)

R-reflection (min.5 sent.)

A- Application (min.5

A binomial experiment consists of 12 trials. The probability of success on trial 5 is 0.16. What is the probability of success on trial 9?
A. 0.1
B. 0.18
C. 0.33
D. 0.25
E. 0.16
F. 0.68

Answers

A binomial experiment consists of 12 trials. The probability of success on trial 5 is 0.16. The probability of success on trial 9 is 0.16.

In a binomial experiment, there are two outcomes that are possible in each trial: a success and a failure.

A binomial experiment consists of a fixed number of trials.

The term "probability" refers to the measure of how likely an event is to happen.

The probability of success on trial 5 is 0.16.

We are required to calculate the probability of success on trial 9.

Since the experiment consists of a fixed number of trials, we can say that probability of success in each trial is the same.

Let us assume the probability of success is p.

Therefore, the probability of failure in each trial is (1-p).

The probability of success on trial 5 is 0.16.

Therefore, p = 0.16.

The probability of failure on trial 5 is

1-p = 1-0.16

1-p = 0.84

The probability of success on trial 9 is given by:

P(success on trial 9) = p

P(success on trial 9) = 0.16.

Therefore, the probability of success on trial 9 is 0.16, which is option E.

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What is the slope of the line passing through the points (-9,-3) and (7,-7)

Answers

Answer:

The slope is [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{Y_{2} -Y_{1} }{X_{2}-X_{1} }[/tex]

-7-(-3)= -7+3= 4

4/?

7-(-9)= 7+9 = 16

4/16=1/4

I hope this helps :-)

Which value of r indicates a stronger correlation:r = 0.818 or r= -0.926? Explain your reasoning. Choose the correct answer below. O A. r= -0.926 represents a stronger correlation because 0.818 > -0.926. O B. r=0.818 represents a stronger correlation because | -0.926) > 10.818). OC. r= -0.926 represents a stronger correlation because | -0.926) > 10.818|- OD. r=0.818 represents a stronger correlation because 0.818 > -0.926.

Answers

Hence, option D is the correct answer to the given question.

The correct answer to the given question is the option D. i.e r=0.818 represents a stronger correlation because 0.818 > -0.926. Explanation: The strength of the correlation can be determined by the magnitude of the correlation coefficient. The correlation coefficient values vary between -1 to 1. If the value of correlation coefficient is close to -1 or 1, it indicates strong correlation. On the other hand, if the value of correlation coefficient is close to 0, it indicates a weak correlation.A correlation coefficient value of -0.926 indicates a strong negative correlation. A correlation coefficient value of 0.818 indicates a strong positive correlation. Hence, option D is the correct answer to the given question.

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What is the width of the terrace?

Answers

Answer:

12 feet or 4 feet.......

3x+5⁰ 2x-25⁰ supplementary angles​

Answers

Answer:

x=40, ∠ACB=125, ∠ACD= 55

Step-by-step explanation:

In order to solve this, you have to find the x-value. We know that these angles are supplementary, which means that the angles, ∠ACB and ∠ACD, both add up to 180°.

With this information, we can conclude 3x+5+2x-25=180.

To solve this equation for x,

1. Combine like terms

5x-20=180

2. Add 20 to both sides

5x=200

3. Divide both sides by 5.

x=40

Now we have the x-value. All we have left to do is plug that in to both of the equations for the angles.

1. ∠ACB: 3(40)+5

120+5

∠ACB = 125

2. ∠ACD: 2(40)-25

80-25

∠ACD = 55

Answer:x=40

Step-by-step explanation:

5x-20=180

5x=200

X=40

please help !! A golf ball is hit into the air from a platform located 6 meters above the ground. The graph represents the height above the ground of the golf ball as a function of time.

Part A: What is the maximum height, in meters, the golf ball reaches before hitting the ground? (blank) meters

Part B:Which of the following statements describe the golf ball? Select TWO that apply.

A.)At 0 seconds, the golf ball is on the ground.

B.)The golf ball is in the air for a total of 4 seconds.

C.)The golf ball is at a height of 6 feet 2 seconds after it was hit.

D.)Between 1 and 3 seconds, the ball is falling towards the ground.

Answers

Answer:

Part A: 8 meters

Part B: B, D

Step-by-step explanation:

Which expression is equivalent to 7(a+2) when a= 6?
O 7(6)
916)
0 7(6)+2
7(6)+ 14

Answers

Answer:

when a = 6, substitute 6 in the equation for a:

7(a + 2) = 7(6)+ 14

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

When a = 6

7(a+2)

7(6+2)

7(8)

56

Other Questions
use the result of a) to calculate the mole fractions of fe3 and scn ions: = Astronomers have found that objects in the universe with different masses wind up as very different kinds of "corpses" (have very different final states). What is the size of a planet's corpse Consider the following.f(x) =exif x < 1x4if x 1, a = 1(a)lim x1 f(x)= On the windward side of the mountain, should the relative humidity of the parcel change as it rises from 2000 m to 4000 m?b) Why? Estimate the pressure exerted on a floor by(a) one pointed heel of = 0.45 cm2, and(b) one wide heel of area 16 cm2, area*The person wearing the shoes has a massof 56 kg. Several years ago, fidget spinners experienced a brief window of popularity. The fad did not last but, at the time, some suggested that fidget spinners could improve retention by giving learners something concrete to do with their hands. Soares and Storm (2020) tested the efficacy of fidget spinners for improving retention. 1 They had college students watch two educational videos; after each video, students' memory for the videos was measured. For one video, participants used a fidget spinner; for the other, they did not. Soares and Storm counterbalanced the use of the fidget spinner, such that half of the participants used the fidget spinner for the first video but not the second video, and the other half of the participants used the fidget spinner for the second video but not the first video. Results showed that, contrary to popular belief, fidget spinners actually harmed memory, with participants remembering significantly more of the video for which they did not use the fidget spinner. a. Did Soares and Storm (2020) use an experimental or quasi-experimental design? Explain your answer. b. Can Soares and Storm (2020) draw a causal inference on the basis of their study? Put another way, can they conclude that the fidget spinners caused participants to remember less of the video? Explain your answer Evaluate the line integral, where C is the given curve. Int c (x + 5y) dx + x^2 dy, C consists of line segments from (0, 0) to (5, 1) and from (5, 1) to (6, 0) Perform a hypothesis test for the following sample. The significance level alpha is 5%. Sample: 7.9, 8.3, 8.4, 9.6, 7.7, 8.1, 6.8, 7.5, 8.6, 8, 7.8, 7.4, 8.4, 8.9, 8.5, 9.4, 6.9, 7.7. Test if mean>7.8 Assume normality of the data. List key factors contributing to the GWG in the general workforce, compare them to key factors contributing to the GWG at the C-suite level and provide an analysis of the impact of the contributing factors to the GWG at the C-suite level Your brother-in-laws investment portfolio consists solely of $10,000 invested in McDonalds stock. Suppose the risk-free rate is 4%, McDonalds stock has an expected return of 9% and a volatility of 27%, and the market portfolio has an expected return of 10% and a volatility of 16%. Under the CAPM assumptions, which portfolio has the lowest possible volatility while having the same expected return as McDonalds stock? Which portfolio has the highest possible expected return while having the same volatility as McDonalds stock? Consider the function f(x + iy) = x + 25 + y +5+i(y + 2y - 2+7) (a) Use the Cauchy-Riemann equations to determine all points at which f'() exists. (b) At wlicli points is f analytic? (c) Give a formula for f'(2) that holds at all points where f is differentiable. the pain carried by small nerve fibers are slower, nagging, aching, widespread, and extremely unpleasant. this is the body's __________system. Part (a): Create a discrete probability distribution using the generated data from the following simulator: Anderson, D. Bag of M&M simulator. 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Include your results in the MS Word document.Part (c): Add a screenshot of the entire completed MS Word document to the discussion board as part of your discussion response (do NOT upload the MS Word document).Part (d): Comment on your findings in your initial response and respond to at least 2 of your classmates findings. for the vectors u = 2, 9, v = 4, 8, and w = 12, 4, what is u v w? 6, 1 6, 5 -6, 5 -6, 21 Many businesses borrow money during periods of increased business activity to finance inventory and accounts receivable. For example, Mitt builds up its inventory to meet the needs of retailers selling to Christmas shoppers. A large portion of Mitt's sales are on credit. As a result, Mitt often collects cash from its sales several months after Christmas. Assume on November 1, 2018, Mitt borrowed $7.8 million cash from Metropolitan Bank and signed a promissory note that matures in six months. The interest rate was 8.00 percent payable at maturity. The accounting period ends December 31.Required:1, 2 & 3. Prepare the required journal entries to record the note on November 1, 2018, interest on the maturity date, April 30, 2019, assuming that interest has not been recorded since December 31, 2018. (Enter your answers in whole dollars. If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.) do you think it is ethical for school officials or potential employers to make admission or hiring decisions based on what they can learn about you online? why or why not? A particular star is d 76.1 light-years (ly) away, with a power output of P 4.40 x 1026 W. Note that one light-year is the distance traveled by the light through a vacuum in one year. (a) Calculate the intensity of the emitted light at distance d (in nW/m2) nW/m2 (b) What is the power of the emitted light intercepted by the Earth (in kW)? (The radius of Earth is 6.37 x 10 m.) kW What If? Of the more than 150 stars within 20 light-years of Earth, 90 are very dim red dwarf stars each with an average luminosity of 2.00 x 1025 w, about 5% the luminosity of the sun. If the average distance of these objects from the Earth is 10.0 ly, find the following. (c) the ratio of the total intensity of starlight from these 90 stars to the intensity of the single bright star found in part (a) "dwarf stars Isingle star (d) the ratio of the total power the Earth intercepts from these stars to the power intercepted from the bright star in part (b) dwarf stars P. single star A light bulb manufacturer ships large consignments of light bulbs to big industrial users. When the production process is functioning correctly, which is 90% of the time, 25% of all bulbs produced are defective. However, the process is susceptible to an occasional malfunction, leading to a defective rate of 60%. If a defective bulb is found, what is the probability that the process is functioning correctly? NOTE: This problem is using Bayes Theorem. C(D) = 0.25 Prior probability functioning correctly of no defect P(C) = 0.90 Prior probability it is not working correctly P(NC) = 0.10Find the conditional probabilities of a defect when the process is working correctly.Find the conditional probabilities of a defect when it is not working correctly. (the branches of tree diagram) Because there are only 2 events, you can also use a bivariate table to solve. I know this is Bayes because I am given evidence (defective bulb) and am asked to update the prior probabilities with this new information. A. 0.211 B. 0.789 C. 0.944 D. 0.056 If g(x, y)=-xy2 +exy, x=rcostheta , and y=rsin theta, find dg/dr in terms of r and theta. how does your mary cassat's work demonstrate a theme of the gilded age?