Please help me with this question
Screenshot is included.

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

To evaluate h(f(x)) substitute x = f(x) into h(x)

h(x - 7)

= 2(x - 7) + 3

= 2x - 14 + 3

= 2x - 11

a) The probability of having less than 3 breakdowns during the next three months is approximately 0.6767.

To find the probability of having less than 3 breakdowns during the next three months, we can use the Poisson distribution formula:

P(X < 3) = e^(-λ) * (λ^0/0!) + e^(-λ) * (λ^1/1!) + e^(-λ) * (λ^2/2!)

Here, λ is the mean number of breakdowns per month, which is 2.

Substituting the value of λ into the formula, we have:

P(X < 3) = e^(-2) * (2^0/0!) + e^(-2) * (2^1/1!) + e^(-2) * (2^2/2!)

Calculating each term:

P(X < 3) = 0.1353 + 0.2707 + 0.2707 = 0.6767

b) The probability that 8 out of the 10 machines will not be used during the next two months is approximately 0.000128.

If each machine works independently and there are 10 machines, we can consider the probability for each machine not being used (having more than 4 breakdowns in two months) and then multiply those probabilities together.

The probability of a single machine not being used is:

P(not used) = P(X > 4)

Using the Poisson distribution formula with a mean of 2 breakdowns per month:

P(not used) = 1 - [P(X ≤ 4)]

P(not used) = 1 - [e^(-2) * (2^0/0!) + e^(-2) * (2^1/1!) + e^(-2) * (2^2/2!) + e^(-2) * (2^3/3!) + e^(-2) * (2^4/4!)]

Calculating this probability, we find:

P(not used) = 0.1429

The probability that 8 out of 10 machines will not be used is calculated by raising the probability of a single machine not being used to the power of 8 (since each machine's status is independent):

P(8 out of 10 not used) = (P(not used))^8

P(8 out of 10 not used) = (0.1429)^8

Calculating this probability, we get:

P(8 out of 10 not used) = 0.000128

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Answer:-12 yards

Step-by-step explanation:7 yards - 19yards

you are at 0 after you subtract 7 and you still need to subtract 12 more and that is how you get -12 subtract 12 frome 0 and you get -12

7-19=-12

Answer:

Step-by-step explanation:

Formula for linear velocity

Converting the angle measure from degrees to radians

Substituting values

Answer:

Step-by-step explanation:

the idea is ratio and proportion:

 15 foot statue      =              x foot tall      

20 foot shadow               4 foot long shadow

cross multiply:

20 (x) = 15 (4)

simplify:

20 x = 60

x = 60 / 20

x = 3 feet

so the answer is C.

Answer:

D

Step-by-step explanation:

We have the two linear equations:

[tex]\text{ Line 1: }y=3x+3[/tex]

[tex]\text{ Line 2: }y=-3x-5[/tex]

And we want to determine the relationship between them.

Let's go through each of the answer choices.

Parallel?

Remember that parallel lines have the same slopes.

The slope of Line 1 is 3, while the slope is Line 2 is -3.

Since they have different slopes, they are not parallel.

Perpendicular?

Perpendicular lines have slopes who are negative reciprocals of each other.

For example, the negative reciprocal of 2 will be -1/2. And the negative reciprocal of -1/2 is 2.

The slope of Line 1 is 3. The negative reciprocal of 3 is -1/3. This is not the slope of Line 2.

We can do it for Line 2 just to confirm. The slope of Line 2 is -3. The negative reciprocal of -3 is 1/3.

So, because their slopes are not negative reciprocals of each other, the two lines are not congruent.

Both?

No two lines can be both parallel and perpendicular simultaneously, so this is out of the question.

[N]either?

Yes indeed. They lines are neither parallel nor perpendicular, so this is our only choice.

And we're done!

Answer:

=4/5

Step-by-step explanation: have a nice day!

Answer:

80%

cuz i said so. and google. google's great. :)

Answer:

I think it is 55

Answer:

s = 3.75

Step-by-step explanation:

Let b = price of a burger

Let s = price of a side item

2b+s = 14.75

3b+2s = 24

Multiply the first equation by -2

-4b-2s =-29.50

Add to the second equation to eliminate s

-4b-2s =-29.50

3b+2s = 24

---------------------

-b = -5.50

Multiply by -1

b = 5.50

Now find s

2b+s = 14.75

2*5.50 +s =14.75

11 + s = 14.75

Subtract 11 from each side

s = 14.75 -11

s = 3.75

Answer:

It's 60 degrees. if you look carefully at the image, there is 2 angles. it can't be 93 since it is way too narrow.

Step-by-step explanation:

I'm on the question on edge, ill keep you updated if it's wrong.

update: it was correct. hope this helped!

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

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To calculate the sample proportion of "first quality" widgets, we divide the number of "first quality" widgets by the total sample size. In this case, out of a random sample of 64 widgets, 48 are classified as "first quality." Therefore, the sample proportion of "first quality" widgets can be calculated as:

Sample Proportion = Number of "First Quality" Widgets / Total Sample Size Sample Proportion = 48 / 64 Sample Proportion = 0.75 So, the sample proportion of "first quality" widgets is 0.75. To calculate the standard error of the proportion, we use the formula: Standard Error = √((Population Proportion * (1 - Population Proportion)) / Sample Size) In this case, the population proportion is given as 0.70 and the sample size is 64. Plugging in these values, the standard error of the proportion can be calculated as: Standard Error = √((0.70 * (1 - 0.70)) / 64) Standard Error ≈ 0.0427 Therefore, the standard error of the proportion is approximately 0.0427.

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The given network consists of several activities with their respective durations in weeks. The activities have dependencies on each other, and the goal is to determine the earliest start time (ES), earliest finish time (EF), latest start time (LS), latest finish time (LF), and total float for each activity.

To determine the ES, EF, LS, LF, and total float for each activity, we can use the forward pass and backward pass techniques in network analysis.

Forward Pass:

Start with the initial node, Activity A, and assign its ES as 0 since it has no predecessors.

Calculate the EF for each activity by adding the duration to its ES.

For Activity A, EF = ES + duration = 0 + 5 = 5.

For Activity B, EF = ES + duration = 0 + 8 = 8.

For Activity C, EF = ES + duration = 5 + 6 = 11.

For Activity D, EF = ES + duration = 8 + 3 = 11.

For Activity E, EF = ES + duration = 11 + 6 = 17.

For Activity F, EF = ES + duration = 17 + 6 = 23.

For Activity G, EF = ES + duration = 17 + 10 = 27.

Backward Pass:

Start with the final node, Activity G, and assign its LF as its EF since it has no successors.

Calculate the LS for each activity by subtracting its duration from its LF.

For Activity G, LS = LF - duration = 27 - 10 = 17.

For Activity F, LS = LF - duration = 23 - 6 = 17.

For Activity E, LS = LF - duration = 17 - 6 = 11.

For Activity D, LS = LF - duration = 11 - 3 = 8.

For Activity C, LS = LF - duration = 11 - 6 = 5.

For Activity B, LS = LF - duration = 8 - 8 = 0.

For Activity A, LS = LF - duration = 5 - 5 = 0.

Total Float:

Calculate the total float for each activity by subtracting its EF from its LF.

For Activity A, Total Float = LF - EF = 0 - 5 = -5.

For Activity B, Total Float = LF - EF = 0 - 8 = -8.

For Activity C, Total Float = LF - EF = 5 - 11 = -6.

For Activity D, Total Float = LF - EF = 8 - 11 = -3.

For Activity E, Total Float = LF - EF = 11 - 17 = -6.

For Activity F, Total Float = LF - EF = 17 - 23 = -6.

For Activity G, Total Float = LF - EF = 17 - 27 = -10.

The negative total float values indicate that the activities are on the critical path and any delay in their completion would result in a delay in the project completion time.

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Answer:

34

Step-by-step explanation:

Step 1:

Length + Length + Width + Width = Perimeter

Step 2:

7 + 7 + 10 + 10             Equation

Step 3:

14 + 20        Add

Answer:

34

Hope This Helps :)

The distance AB across the river is 417.04 m when BC = 351 m, B = 112°10′ and C = 17°15′ across the river. Hence, the correct answer is AB = 417.04m.

We are given that BC = 351 m, B = 112°10′ and C = 17°15′.

We need to find the distance AB across the river, given that angle BAC = 90°.

To find AB, we will use the sine rule.

According to the sine rule,

AB / sin ∠BAC = BC / sin ∠BCA

Substituting the given values, we get,

AB / sin 90° = 351 / sin (112°10′ + 17°15′)

We know that sin 90° = 1 and sin (112°10′ + 17°15′) = sin 129°25′

So,

AB = 351 / sin 129°25′ = 351 / 0.8413

AB = 417.04 m

Therefore, the distance AB across the river is 417.04 m when BC = 351 m, B = 112°10′ and C = 17°15′ across the river. Hence, the correct answer is AB = 417.04m.

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Answer:

[tex]\boxed {\frac{2}{1}}[/tex]

Step-by-step explanation:

Use the rise over run to help you find the rate of change of the following graph:

[tex]\frac{rise}{run}[/tex]

Since every point shows that it is going up, then it means that the numbers you going to have are going to be positive:

Rise = [tex]2[/tex]

Run = [tex]1[/tex]

[tex]\frac{rise}{run} = \boxed {\frac{2}{1}}[/tex]

So, the rate of change is [tex]\frac{2}{1}[/tex].

(a) The height h of the cylinder in terms of π and radius r is h = (231/r) - 2r.

(b) The value of r for which the volume of the cylinder is a maximum is approximately 2.16 cm.

The formula for the total exterior surface area of a cylinder is 2πrh + 2πr², where r is the radius and h is the height. We're given that the total exterior surface area of the cylinder is 462 cm². So we can set up an equation:

2πrh + 2πr² = 462

Simplifying, we get:

πr(h + 2r) = 231

Dividing both sides by πr, we get:

h + 2r = 231/r

Multiplying both sides by r and rearranging, we get:

h = (231/r) - 2r

(b)V = πr²((231/r) - 2r)

Simplifying, we get:

V = 231πr - 2πr³

To find the value of r that maximizes V, we can take the derivative of V with respect to r and set it equal to zero:

dV/dr = 231π - 6πr² = 0

Solving for r, we get:

r² = 231/6π

r = √(231/6π)

r ≈ 2.16 cm

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A) The triangles that are similar to AED are:

DCE

EBA

AFE

EFD

B) The value of the side FA is: 14.92 units

A) Triangular AED:

D = 53° (alternating interior angles)

A = 180 - 90 - 53 = 37° (Sum of angles in a triangle)

AA Similarity Criterion

DCE is similar to AED

Angle BEA = 180 - 90 - 53 = 37° =  angle A for triangle AED

Therefore:

Using AA similarity criteria:

EBA is similar to AED

Diagonals of a parallelogram (here: rectangle) cut into two congruent triangles

Therefore:

EBA matches AFE

EBA matches AFE, DCE and matches EFD

Congruent triangles are similar

Conclusion:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFDs are similar to AEDs 

B) Using Pythagoras theorem:

DF = √(20² - 16²)

DF = 12

Using trigonometric ratios:

EF/FA = tan 47

FA = 16/tan 47

FA = 14.92 units

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Answer: 28

Step-by-step explanation:

The reason being you can put 420 in the calculator and divide that by the amount of students in Terrys class

Answer:

A:y+6= -5(x-2)

C:y= -5x+4

Step-by-step explanation:

Answer:

It's 2a + 3b + 3c :)

Answer:

a²+b³+c³

Step-by-step explanation:

a+a+b+b+b+c+c+c

a) The probability that three or fewer women would be hired is approximately 0.1719, or 17.19%. b) P(0 women) + P(2 women) + P(4 women) + P(6 women) + P(8 women) + P(10 women) c)c) The fact that fewer women were hired compared to men does not necessarily indicate evidence of discrimination.

a) The probability that three or fewer women would be hired can be calculated using the binomial distribution. Since we expect all applicants to be similarly qualified and the probability of hiring any individual is the same, we can assume a probability of success (p) of 0.5 (equal chance for men and women) and a total of ten trials (job openings). Using the binomial distribution formula, we can sum the probabilities of hiring 0, 1, 2, and 3 women:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

        = C(10, 0) * (0.5)^0 * (0.5)^10 + C(10, 1) * (0.5)^1 * (0.5)^9 + C(10, 2) * (0.5)^2 * (0.5)^8 + C(10, 3) * (0.5)^3 * (0.5)^7

Calculating these probabilities yields:

P(X ≤ 3) ≈ 0.1719

Therefore, the probability that three or fewer women would be hired is approximately 0.1719, or 17.19%.

b) The chance that exactly an even number of men and women are hired can also be calculated using the binomial distribution. In this case, we want to find the probabilities of hiring 0, 2, 4, 6, 8, or 10 women (an even number) and the corresponding number of men.

P(0 women) + P(2 women) + P(4 women) + P(6 women) + P(8 women) + P(10 women) Calculating these probabilities will give us the chance that an even number of men and women are hired.

c) The fact that fewer women were hired compared to men does not necessarily indicate evidence of discrimination. The probability calculations in parts a) and b) assume that all applicants are similarly qualified and that the probability of hiring any individual is equal. Therefore, differences in the number of women hired could be due to random chance rather than discrimination. To determine if there is evidence of discrimination, further analysis and consideration of other factors would be needed. It would be important to examine the hiring process, criteria used for selection, and any potential biases or barriers that could affect the hiring outcomes. Additionally, analyzing the data over a longer period of time or comparing it to external benchmarks could provide more insight into any potential discriminatory practices.

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Answer: C) (1,-3)

Step-by-step explanation:

Just plug in the values for x and y

for choice c:

y<3x+1

-3<3(1)+1

-3<3+1

-3<4 and this is true

The ordered pair which is a solution of the given inequality is (1, -3). Therefore, option C is the correct answer.

The given inequality is y<3x + 1.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here,

Option A:

Put (-3, -2) in the inequality y<3x + 1 and check, we get

-2<3(-3)+1

= -2<-8 which is not true.

Option B:

Put (3, 14) in the inequality y<3x + 1 and check, we get

14<3(3)+1

= 14<10 which is not true.

Option C:

Put (1, -3) in the inequality y<3x + 1 and check, we get

-3<3(1)+1

= -3<4 which is true.

Option D:

Put (1, 6) in the inequality y<3x + 1 and check, we get

6<3(1)+1

= 6<4 which is not true.

The ordered pair which is a solution of the given inequality is (1, -3). Therefore, option C is the correct answer.

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Answer:

x= -2 y= -5

Step-by-step explanation:

X+y=-7

x+-y-7

-5(-y-7)+y=5

5y+35+y=5

6y+35=5

6y=5-s5

6y=-30

y=-5

-5x+(-5)=5

-5x=5+5

-5x=10

x=-2

Answer:

a = 26

Step-by-step explanation:

Solve for a:

22 = a - 4

Hint: | Reverse the equality in 22 = a - 4 in order to isolate a to the left-hand side.

22 = a - 4 is equivalent to a - 4 = 22:

a - 4 = 22

Hint: | Isolate terms with a to the left-hand side.

Add 4 to both sides:

a + (4 - 4) = 4 + 22

Hint: | Look for the difference of two identical terms.

4 - 4 = 0:

a = 22 + 4

Hint: | Evaluate 22 + 4.

22 + 4 = 26:

Answer: a = 26

Answer:

a = 26

Step-by-step explanation:

22 = a - 4 Is your starting equation.

First you have to flip the equation which means your equation should now be:

a - 4 = 22

Then add 4 to both sides, which would look like this,

a - 4 + 4 = 22 + 4

After you do that your final answer is

a = 26

Answer: A equals -2

Step-by-step explanation:

First, start off by replacing x with -4.

Then add 4 to -4 and -8.

Afterwards, you should be left with 2A = -4. Then divide 2A and -4 by 2

Your answer should be “A = -2”

Hope this helps :)

The problem of the central planner is option A) max U(x) Subject to N x² = 100.

In a simple production economy with N goods, each of the goods is produced with the following production function where x is the good, the subscript i denotes the good, and L is labor.

The total work available is

100 x₁ = √L₁

Suppose that in this economy there is a representative agent with preferences given by the following utility function U(x).

The problem of the central planner is represented by the choice of option A) max U(x) Subject to

N x² = 100.

Where, to maximize the utility function of the representative agent, the central planner must allocate a certain amount of each good x1, x2, ..., xN to the representative agent that would help in maximizing his/her utility subject to the total production being constrained to

Nx² = 100.

Hence, the problem of the central planner is option A) max U(x) Subject to N x² = 100.

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