In a certain raffle, you buy 2 tickets. 50 tickets are sold altogether. 7 prizes will be awarded. Find the probability that you win 0 prizes.
0.16
0.04
0.26
0.74

Answers

Answer 1

The probability of winning 0 prizes in the raffle is 0.74. The last option.

Probability

To find the probability of winning 0 prizes in the raffle, we need to calculate the probability of not winning any prize.

First, let's calculate the probability of winning a prize with a single ticket. Since there are 7 prizes and a total of 50 tickets sold, the probability of winning a prize with one ticket is 7/50.

To calculate the probability of not winning a prize with one ticket, we subtract the probability of winning a prize from 1:

1 - (7/50) = 43/50.

Since you bought two tickets, the probability of not winning any prize with both tickets is the probability of not winning a prize with one ticket multiplied by itself:

(43/50) * (43/50) = 1849/2500.

Therefore, the probability of winning 0 prizes in the raffle is 1849/2500, which is approximately equal to 0.7396 or 0.74 when rounded to two decimal places.

More on probability can be found here: https://brainly.com/question/32117953

#SPJ4


Related Questions

3(2w -4) equals what

Answers

Answer:

6W-12

Step-by-step explanation:

Answer:

6w-12

Step-by-step explanation:

distribute:

3(2w-4) = 6w-12

A certain reality TV show lost a total of 9,000 viewers over the past 3 months. It lost the same number of
viewers each month.
The following equation describes this situation.
-9,000 = 3 = -3,000
What does -3,000 tell us?

Answers

Answer:

Step-by-step explanation:

- 3, 000 tells the number of views loss in each month.

Sandra needs a new bicycle tire. Her tire has a circumference of 26π inches. What is the radius of her tire?

Answers

Answer:

it should be by mult by 10 is 816.81

Please help me with the question

Answers

90 degrees and right angle

90 degrees and now can u help me with my history work

Which is NOT true?
A 11 = 11
B 11 = 18 - 7
C 11 + 5 = 15 + 11
D 11 + 3 = 6 + 8

Answers

Answer:

C

Step-by-step explanation:

11+5=15

15+11=26

15 does not equal 26

Answer:C 11 + 5 = 15 + 11

Step-by-step explanation:

This is the only one that is false because the left side of the equation is equal to 16 and the right side of the equation is equal to 26

Find the measure of each angles:

Answers

Answer:

10. 123º

13. 65º

Step-by-step explanation:

For number 10, a straight line is equal to 180º so all we have to do is subtract 57 (the number that we're given) from 180

For number 13, vertical angles are always congruent (the same) so we know that it's 65º

find the surface area of the part of the cone z=sqrt(x^2 y^2) that lies between the plane y=x and the cylinder y=x^2

Answers

The surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2 is sqrt(2)/6.

To find the surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2, we can use a double integral to integrate the surface area element dS over the region of interest.

First, we need to parameterize the surface in terms of two variables (u, v) such that the surface is defined by x = f(u,v), y = g(u,v), and z = h(u,v). We can use cylindrical coordinates, with x = r cos(theta), y = r sin(theta), and z = sqrt(x^2 + y^2) = r. Then, the cone is given by r = h(u,v) = u, and the region bounded by y = x and y = x^2 is given by u^2 <= v <= u.

Next, we need to compute the partial derivatives of f, g, and h with respect to u and v:

f_u = cos(theta)

f_v = -u sin(theta)

g_u = sin(theta)

g_v = u cos(theta)

h_u = 1

h_v = 0

Then, the surface area element dS can be computed using the formula:

dS = sqrt(1 + (h_u)^2 + (h_v)^2) du dv

Substituting in the partial derivatives and simplifying, we get:

dS = sqrt(2) du dv

Finally, we can set up the double integral over the region of interest and integrate dS:

surface area = ∫∫ dS = ∫[0,1]∫[u^2,u] sqrt(2) dv du

Evaluating this integral using the limits of integration gives us:

surface area = ∫[0,1] sqrt(2) (u - u^2) du

= sqrt(2) (1/2 - 1/3)

= sqrt(2)/6

Therefore, the surface area of the part of the cone z = sqrt(x^2 + y^2) that lies between the plane y = x and the cylinder y = x^2 is sqrt(2)/6.

Learn more about surface area here:

https://brainly.com/question/29298005

#SPJ11

find the coordinate vector of a =[ 2 3 4 5] with respect to the basis = [e22, e21, e12, e11 ] of m22.

Answers

The coordinate vector of vector a = [2, 3, 4, 5] with respect to the basis B = [e22, e21, e12, e11] of M22 is [3, 4, 5, 2].

To find the coordinate vector, we need to express vector a as a linear combination of the basis vectors. The given basis B represents the standard basis for a 2x2 matrix.

Let's break down the process step by step:

Start with the basis vectors: e22, e21, e12, e11.

Express vector a as a linear combination of the basis vectors:

a = 2 * e22 + 3 * e21 + 4 * e12 + 5 * e11

The coefficients in front of each basis vector represent the coordinates of a with respect to the basis B.

Therefore, the coordinate vector of a with respect to B is [2, 3, 4, 5].

However, it's important to note that the given basis B is not the standard basis for a 2x2 matrix. The standard basis for a 2x2 matrix consists of the following vectors: e11 = [1, 0, 0, 0], e12 = [0, 1, 0, 0], e21 = [0, 0, 1, 0], e22 = [0, 0, 0, 1].

Learn more about coordinate here

https://brainly.com/question/18269861

#SPJ11

kam
A company's stock was selling at
$28 a share. A month later, it was
selling at $21 a share. What is the
percent loss?
[?]%

Answers

Answer:Im pretty sure it's 25% percent loss

Step-by-step explanation:

sorry if im wrong

5. Write a function of the form f(x) = - + k with a vertical asymptote at x = -15 and a horizontal asymptote of y = -6.​

Answers

DONT TRUST LINK!! IT IS USED TO STEAL PERSONAL INFORMATION

Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4 inches. What would be the measurements of the width and height?

Answers

Answer:

Width-6

height-3

I determinded the width and the height by counting how many cubic blocks there are up and down.

Step-by-step explanation:

The measurements of the width and height can 3 inches each or 1 and 9 inches.

What is volume of cuboid?

The volume of the cuboid is defined as the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. The volume of a cuboid is equal to the product of length, width and height of a cuboid.

Given data as :

Jason wants to create a box with the same volume as the one shown  

To determine measurements of width and height of box

Volume of given box (cuboid) = 6 × 2 × 3

Volume of given box = 36

length to be 4 inches.

length × width × height = 36

⇒ 4 w × h = 36

⇒ w × h = 9

Now multiplication factors of 9 as

9 = 1 × 9

9 = 3 × 3

So, width and height can 3 inches each or 1 and 9 inches.

Hence, the measurements of the width and height can 3 inches each or 1 and 9 inches.

Learn more about volume of cuboid here:

brainly.com/question/23118276

#SPJ2

what's the answer !!
[tex] \sqrt{44 \times 2 \times 2 \times 11} [/tex]

Answers

Answer:

44

Step-by-step explanation:

[tex] \sqrt{44 \times 2 \times 2 \times 11} [/tex]

[tex] \sqrt{88 \times 2 \times 11} [/tex]

[tex] \sqrt{176 \times 11} [/tex]

[tex] \sqrt{1936}[/tex]

[tex] \sqrt{ {44}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex]44[/tex]

Hope it is helpful.....
44

Step-by-step explanation:

[tex] \sqrt{44 \times 2 \times 2 \times 11} \\ = \sqrt{11 \times 4 \times 4 \times 11} \\ = \sqrt{11 \times 11 \times 4 \times 4} \\ = 11 \times 4 \\ = 44[/tex]

Given a quaternion with rotation of 90° about the x-axis and route point (1,0,1)

Find the following:

a. Scalar part
b. i, j, k components
c. Px, Py, Pz

Answers

Given the quaternion with rotation of 90° about the x-axis and route point (1,0,1), we have to find the scalar part, i, j, k components, Px, Py, Pz.

To find the scalar part, we need to use the formula: Scalar part = cos(θ/2)Where θ is the angle of rotation, which is 90° in this case. Scalar part = cos(90°/2) = cos(45°) = 0.7071To find the i, j, k components, we use the formula: qi = sin(θ/2) * ai where ai is the unit vector in the axis of rotation. i-component = sin(90°/2) * 1 = 1j-component = 0k-component = 0Therefore, the quaternion is (0.7071, 1i, 0j, 0k)To find Px, Py, Pz, we rotate the point (1,0,1) by the given quaternion using the formula: P' = qpq-1where q is the given quaternion, and P' is the new point.

Let's first find the inverse of the quaternion.q-1 = (0.7071, -1i, 0j, 0k) (Since the scalar part remains the same, only the vector part gets negated)Now, let's substitute the values and simplify: P' = (0.7071 + 1i)(1 + 0j + 0k)(0.7071 - 1i) = (0.7071 + 1i)(0.7071 - 1i) = 1 - 0.7071iTherefore, the new point is (1, 0, -0.7071)Hence, Px = 1, Py = 0, and Pz = -0.7071.

Know more about scalar part:

https://brainly.com/question/28518744

#SPJ11


Marie charges $8 for a dozen of her pineapple cupcakes. She sold 23 dozen at the street fair yesterday. How much money did
Marie collect?
A) $144
B) $164
C) $184
D) $194

Help please and I’ll I’ve BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

each dozen cost $8 so do the $8 times the 23 dozen she sold to get the answer

Answer:

C)$184

Step-by-step explanation:

8 times 23=$184

plz can i get brainliest:)

-6,-5,-4,-3,...rule
What is answer ​

Answers

Answer:

[tex]a_{n}[/tex] = n - 7

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence

d = - 5 - (- 6) = - 4 - (- 5) = - 3 - (- 4) = 1

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = 1 , then

[tex]a_{n}[/tex] = - 6 + 1 (n - 1) = - 6 + n - 1 = n - 7

NEED THIS DONE ASAP


If P(x) = -2(1 - x)2 +5, what is the value of
P(-3)?

Answers

Answer:

P(-3) = -1

Step-by-step explanation:

So just substitute the value of x in the equation:

Value of x is (-3)

So:

P(x) = -2(1 - x)2 +5

P(-3) = -2(1-(-3)) 2 + 5

P(-3) = -2(4) 2 + 5

P(-3) = -8 + 2 + 5

P(-3) = -6 + 5

P(-3) = -1

Raymond takes a 28-inch by 21-inch rectangle of plywood and uses a table saw to cut from one corner of the piece of plywood to the diagonally opposite corner. Now Raymond has two equally sized triangles of plywood. What is the perimeter of each triangle?

Answers

Step-by-step explanation:

just to fit characters ...........

Which situation CANNOT be represented by this equation? 6−7=29 6 x - 7 = 29 CLEAR CHECK Joel earns $7 $ 7 per hour to mow his aunt's lawn. If he spends $6 $ 6 on gas, how many hours, x , will he need to mow to have $29 $ 29 left? Joel mows his aunt's lawn for $6 $ 6 per hour. If he spends $7 $ 7 on gas, how many hours, x , will he need to spend mowing the lawn to have $29 $ 29 left? Joel takes 6 6 hours to mow his aunt's lawn. If he spends $7 $ 7 on gas, how much does he get paid per hour, x , to mow the lawn and still have $29 $ 29 left?

Answers

Answer:

Joel earns $7 per hour to mow his aunt's lawn. If he spends $6 on gas, how many hours, x , will he need to mow to have $ 29 left?

Step-by-step explanation:

The given equation is :

6x - 7 = 29

It is given that total hours be = x

Joel earns $7  per hour, so the total earning of Joel in x hours is = $ 7x

He spends $6 on gas, so = 7x - 6

He is left with $ 29 after spending on gas.

Therefore, the equation becomes :

7x - 6 = 29

Clearly, it can be seen that in this case, the given situation cannot be represented by the given equation, i.e. 6x - 7 = 29.

John’s friend told him that he could earn $25 for handing out flyers at a local concert. John wants to calculate the hourly rate. If he works a total of 2 hours, the equation 2x=25 can be used to determine his hourly rate. What would John’s hourly rate be, in dollars?

A
$12.50

B
$23

C
$27

D
$50

Answers

Answer:

D

Step-by-step explanation:

Diddy Corp. Stock has a beta of 1.2, the current risk-free rate is 6 percent, and the expected return on the market is 14.50 percent. What is Diddy's cost of equity?

Answers

Answer: 16.2%

Step-by-step explanation:

You can find the cost of equity using the Capital Asset Pricing Model (CAPM).

Cost of equity = Risk free rate + Beta * (Expected return on market - Risk free rate)

= 6% + 1.2 * (14.50 - 6%)

= 6% + 10.2%

= 16.2%

What is the volume of a sphere with a radius of 6.3 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

1047.4 cm^3

Step-by-step explanation:

Answer:1047.4

Step-by-step explanation:

.

Explain, using an example, why you need to multiply when converting from a larger unit to a smaller unit

Answers

Answer:

This is often called scaling in math, used in ratios, fraction, percent's etc.

Step-by-step explanation:

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide. Here is an example..

A room needs to be painted. The room is 15 ft by 23 ft by 8 ft high. A gallon

of paint covers 250 2 and costs $28.

a. Find the number of gallons to paint the room.

b. What is the cost of painting the room if you do the work yourself?

Answers

Answer:

First we know that the room is a rectangular prism with measures:

width = W = 15ft

length = L = 23ft

height = H = 8ft

We want to paint the room (i suppose that we paint the four walls and the roof)

The area of each two of the walls the width times the height:

A = (15ft)*8ft = 120ft^2

And we have two of these walls, then the total area is:

area = 2*120ft^2 = 240ft^2

The area of each one of the other two walls is the height times the length:

A = (23ft)*8ft = 184ft^2

And we have two of these walls, then the total area is:

A = 2*184ft^2 = 368ft^2

The area of the roof is equal to the length times the width.

A = 23ft*15ft = 276ft^2

Then the total area we need to paint is:

area = 240ft^2 +  368ft^2 + 276ft^2 = 884 ft^2

a) We know that one gallon can cover 250 ft^2

Then to cover 884 ft^2 we need:

N = (884 ft^2)/(250 ft^2) = 3.536 gallons of paint

b) Knowing that each gallon costs $28, and that we need 3.536 gallons of paint to paint the room, the total cost is:

3.54*$28 = $99.008 = $99.01

Now if for some reason you only can buy paint in whole numbers, then you can not buy exactly 3.536 gallons, then you need to buy 4 gallons, and in this case, the total cost will be 4 times $28

cost = 4*$28 = $112

Find X. Give your answer in the simplest form.

Answers

ok so this is a 30-60-90 triangle

x is 20 and y is 20 root 3

im sorry my phone is being weird which is why the writing turned out like that but if u have any questions lmk

Compute Z, corresponding to P28 for standard normal curve. 5. Random variable X is normally distributed with mean 36 and standard deviation 3. Find the 80th percentile.

Answers

The 80th percentile of the normal distribution with a mean of 36 and a standard deviation of 3 is approximately 38.52.

To compute Z corresponding to P28 for the standard normal curve, we need to find the Z-score that corresponds to a cumulative probability of 0.28. This can be done using a standard normal distribution table or a statistical software.

Using a standard normal distribution table, we can look up the cumulative probability closest to 0.28, which is 0.2794. The corresponding Z-score is approximately -0.59.

Therefore, Z corresponding to P28 for the standard normal curve is approximately -0.59.

Regarding the second part of your question, to find the 80th percentile of a normal distribution with a mean of 36 and a standard deviation of 3, we can use the Z-table or a statistical software.

The 80th percentile corresponds to a cumulative probability of 0.80. Using the Z-table or a statistical software, we can find the Z-score that corresponds to a cumulative probability of 0.80, which is approximately 0.84.

To find the actual value, we can use the formula:

Value = Mean + (Z-score * Standard Deviation)

Plugging in the values:

Value = 36 + (0.84 * 3) = 38.52

Therefore, the 80th percentile of the normal distribution with a mean of 36 and a standard deviation of 3 is approximately 38.52.

For more questions on standard deviation

https://brainly.com/question/475676

#SPJ8

Please solve as soon as possible thank you I appreciate it!

Answers

A. 30=3x+6? B. I really can’t figure it out so sorry

a large population is bi modal samples of sixe 40 are drawn in a sampling distribution

Answers

The given statement mentions a large population that exhibits a bimodal distribution. Bimodal distribution means that the data has two distinct peaks or modes.

Additionally, it states that samples of size 40 are drawn from this population, resulting in a sampling distribution.

A sampling distribution refers to the distribution of a statistic, such as the mean or proportion, calculated from multiple samples drawn from the same population. In this case, samples of size 40 are drawn, which means that each sample consists of 40 observations from the population.

The statement does not provide specific details about the purpose or objective of analyzing the sampling distribution. However, studying the sampling distribution can provide valuable insights into the behavior and properties of the population. It allows researchers to make inferences about the population parameters based on the statistics calculated from the samples.

To know more about sampling distribution click here: brainly.com/question/31465269

#SPJ11

Consider sample of 47 football games, where at of them were won by the bomo tam. Use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one half. Identify the null and alternative hypothes for this test.

Answers

The null hypothesis for this test is that the probability that the home team wins is equal to or less than one half. The alternative hypothesis is that the probability that the home team wins is greater than one half.

1. Identify the null hypothesis (H0): The null hypothesis for this test is that the probability that the home team wins is equal to or less than one half (P ≤ 0.5).

2. Identify the alternative hypothesis (Ha): The alternative hypothesis is that the probability that the home team wins is greater than one half (P > 0.5).

3. Determine the significance level (α): The significance level, also known as the alpha level, is set at 0.01. This means that we are willing to accept a 1% chance of rejecting the null hypothesis when it is actually true.

4. Collect the sample data: In this case, we have a sample of 47 football games, where "at" of them were won by the home team (let's assume "at" to be a specific number).

5. Calculate the test statistic: To test the claim, we need to calculate the test statistic based on the sample data. Since we are comparing a proportion (probability), we can use the z-test. The test statistic formula is given by:

  z = (p - P) / √(P * (1 - P) / n)

  Where:

  p is the proportion of games won by the home team in the sample,

  P is the claimed probability that the home team wins (in this case, P = 0.5),

  n is the sample size.

6. Determine the critical value: Since we have a one-tailed test (alternative hypothesis is directional), we need to find the critical value corresponding to the significance level of 0.01 in the standard normal distribution (z-distribution). Using a z-table or a statistical software, the critical value for a 0.01 significance level is approximately 2.33.

7. Compute the test statistic: Plug in the values from the sample data into the test statistic formula calculated in Step 5 to obtain the z-value.

8. Compare the test statistic with the critical value: If the test statistic is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

9. Make a decision: If the test statistic is greater than the critical value, we reject the null hypothesis, indicating that there is sufficient evidence to support the claim that the probability that the home team wins is greater than one half. If the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis, indicating that there is not enough evidence to support the claim.

10. Provide a conclusion: Based on the decision made in Step 9, state the conclusion in the context of the problem. For example, if we reject the null hypothesis, we can conclude that there is significant evidence to suggest that the home team has a greater than 50% chance of winning in these football games.

For more such questions on probability, click on:

https://brainly.com/question/25839839

#SPJ8

"Suppose X --> N(20,5)
(a) Find: (i) P(X> 18)
(ii) P(7 < X < 15)
(b) Find the value a such that P(20-a < X < 20+ a) = 0.99
(c) Find the value b such that P(20-b< X < 20+ b) = 0.95

Answers

a) i)P(X > 18)= 0.65542

ii)P(7 < X < 15)=0.154

b)The value of a using the standard normal table or a calculator is 12.875

c)the value of b using the standard normal table or a calculator is 9.8

a) Let X be the normal random variable with mean μ = 20 and standard deviation σ = 5. We have to find P(X > 18) and P(7 < X < 15).

(i) P(X > 18)

This can be calculated using the standard normal table or a calculator as follows:

z = (18 - μ)/σ

= (18 - 20)/5

= -0.4

P(X > 18) = P(Z > -0.4)

= 1 - P(Z ≤ -0.4).

Using the standard normal table or a calculator, P(Z ≤ -0.4) = 0.34458

Therefore, P(X > 18) = 1 - 0.34458 = 0.65542

(ii) P(7 < X < 15). This can be calculated using the standard normal table or a calculator as follows:

z₁ = (7 - μ)/σ

(7 - 20)/5 = -2.6z₂

(15 - μ)/σ = (15 - 20)/5

= -1

P(7 < X < 15) = P(-2.6 < Z < -1)

= P(Z < -1) - P(Z < -2.6)

Using the standard normal table or a calculator,

P(Z < -1) = 0.15866P(Z < -2.6) = 0.00466

Therefore, P(7 < X < 15) = 0.15866 - 0.00466 = 0.154

b) We have to find the value of a such that

P(20 - a < X < 20 + a) = 0.99.

This can be calculated as follows:

z₁ = (20 - a - μ)/σ

= (20 - a - 20)/5

= -a/5z₂ = (20 + a - μ)/σ

= (20 + a - 20)/5 = a/5

We need to find a such that

P(z₁ < Z < z₂) = 0.99

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.99P(Z < a/5) - P(Z < -a/5) = 0.99

This can be rewritten as

P(Z < a/5) - [1 - P(Z < a/5)] = 0.99P(Z < a/5) - P(Z < -a/5) = 0.995

From the standard normal table or a calculator,

P(Z < 2.575) = 0.995P(Z < -2.575) = 0.005

Therefore,

2.575 = a/5 or -2.575 = -a/5a = 12.875

Therefore, the value of a is 12.875.

c) We have to find the value of b such that P(20 - b < X < 20 + b) = 0.95.

This can be calculated as follows:

z₁ = (20 - b - μ)/σ

= (20 - b - 20)/5

= -b/5z₂

= (20 + b - μ)/σ

= (20 + b - 20)/5 = b/5

We need to find b such that

P(z₁ < Z < z₂) = 0.95

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.95P(Z < b/5) - P(Z < -b/5) = 0.95

This can be rewritten as

P(Z < b/5) - [1 - P(Z < b/5)] = 0.95P(Z < b/5) - P(Z < -b/5) = 0.975

From the standard normal table or a calculator,

P(Z < 1.96) = 0.975P(Z < -1.96) = 0.025

Therefore,1.96 = b/5 or -1.96 = -b/5b = 9.8

Therefore, the value of b is 9.8.

Learn more about standard normal table here

brainly.com/question/30401972

#SPJ4

PLSSS HELPPPPP

On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.



A:

B:

D:

E:

Answers

Answer:  B is 0  A is 1 D 2 E 3

Step-by-step explanation:

Answer:

a: 1

b: 0

d:2

e:3

Step-by-step explanation:

Since you already know that C is -1, you can add or subtract along the numberline by ones to get the values of each letter

Other Questions
No do I solve this problem? harry doesn't believe man landed on the moon. he is a doubting thomas Describe Monitoring the Stakeholder Engagement and Communication Plans.Describe all inputs and processes required to optimize information flow.Identify the importance of ensuring continuous management of these plans.Describe risks of performance indicators and conflicts that may affect project success.Summarize project document updates required during project in all phases. In E. coli, which of the following proteins are induced along with galactoside permease? a. thiogalactoside transacetylase b. NONE OF THESE c. ALL OF THESE d. lac repressor e. CAP for 0 x < 360, what are the solutions to cos(startfraction x over 2 endfraction) sin(x) = 0? {0, 60, 300} {0,120, 240} {60, 180, 300} {120,180, 240} Two electrons are separated by a distance of3. 00 10^6 meter. What are the magnitude anddirection of the electrostatic forces each exertson the other?(1) 2. 56 10^17 N away from each other(2) 2. 56 10^17 N toward each other(3) 7. 67 10^23 N away from each other(4) 7. 67 10^23 N toward each other Show that the functions f(t) = t and g(t) = e^2t are linearly independent linearly independent by finding its Wronskian. What ketone or aldehyde below would be reduced to form 2methyl-3 pentanol? Direct Materials Variances Bellingham Company produces a product that requires 2.5 standard pounds per unit. The standard price is $3.75 per pound. If 15,000 units required 36,000 pounds, which were purchased at $4.00 per pound, what is the direct materials (a) price variance, (b) quantity variance, and (c) total direct materials cost variance? Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number. a. Direct materials price variance $9,000 Unfavorable b. Direct materials quantity variance $5,625X Unfavorable c. Total direct materials cost variance $3,375 Favorable Feedback Check My Work Unfavorable variances can be thought of as increasing costs (a debit). Favorable variances can be thought of as decreasing costs (a credit). Cost variance is the difference between the actual and standard costs at actual volumes. a silver-colored metal is placed in a blue solution. after a few minutes, a red coating forms on the metal and the solution turns clear. which best describes the products of this reaction?a.Two single elements b.Two compounds c.One compound d.A single element and a compound PLEASE HELP ASAPYou are considering opening a new business selling carbon fibre wheels. You estimate your fixed cost at $20,000 and the variable cost of each product at $200. You expect the selling price to average $ Evaluate the exponent expression for a = 1 and b = -2A) -2B)-1/16C)-2/5D)1/16 Consider a frictional labour market with many firms and workers and a costly search process. Both employed and unemployed workers can search for a job. Explain the trade-off that an employer faces when deciding between offering workers a low wage versus a high wage. Can the wage dispersion be sustained in this market even if all firms and workers are identical? Explain. The equation for the regression line that predicts the probability of default in percent using FICO credit score as the explanatory variable isY^=0.155X+112Credit score : 610, 645, 685, 705, 540, 580, 620, 660, 700Probability of default : 16.7, 9.1, 4.8, 3.2, 28, 23, 16, 9, 4.4What is the interpretation of the intercept?Fico Credit Score when probability of default is oNo practical interpretationProbability of default when Fico Credit Score is 0 A local bank advertises that an account at 9.5% interest yields 9.64% annually. How often is the interest compounded? A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 7 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 4 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.What is the area of the tile shown?58 cm244 cm274 cm270 cm2 Scenario: Pizza Supply and Demand.The demand for pizza is represented by p^D = 10 - Q^D/4, and the supply of pizza is represented by P^S = 4+ Q^s/2, with Q in thousands and P in dollars. The market for pizza is perfectly competitive.Suppose a price ceiling was set $2 below the equilibrium price. What would be the result?There would be a surplus of 12000.This is a nonbinding price ceiling.Quantity demanded would equal 4000.There would be a shortage of 12000. Even if we reject the null hypothesis as our decision in the test, there is still a small chance that it is, in fact, true. True O False Uranus' moon Ariel shows considerable surface activity, a surprise considering its small size.a. Trueb. False : Suppose Hopewell Corporation has the following revenue and expenses for 2021: Revenues of $6,400,000 Cost of Goods Sold of $1,280,000 Depreciation Expenses of $1,100,000 Income Taxes of $1,080,000 Interest Expenses of $80,000 Other Expenses of $600,000 Sales, General, & Administrative Expenses of $640,000 Create an income statement with amounts in thousands What is the value of Earnings Before Interest & Taxes? Note: Revenue and expense amounts are provided in dollars but the income statement units are thousands of dollars. Please specify your answer in the same units as the income statement (i.e., enter the number from your completed income statement).