Question 10: Men's heights are normally distributed with a mean of 5.75 feet and a standard deviation of 0.25 feet. a) What is the probability that a randomly selected male will be taller than 5.81 feet? (Round your final answer to 4 decimal places) b) An airline is offering extra leg space for the tallest 5% of males. How tall would a man have to be to qualify for this offer? (Round final answer to 2 decimal places) nate an association between involvement in extracurricular

Answer:

m∠1 = 30°

m∠2 = 120°

m∠3 = 30°

w = 52

x = 104 (approximately)

y = 156 (approximately)

z = 180

Step-by-step explanation:

Step 1: Label your diagram with variables to make solving easier

Step 2: Solve for the missing degrees

Step 3: Solve for the missing side lengths

To calculate the point estimate of a population proportion, collect a representative sample, determine the number of individuals with the characteristic of interest, divide it by the sample size, and the resulting value is the point estimate of the population proportion.

The point estimate of a population proportion is a single value that represents an estimate of the proportion of a certain characteristic in a population based on a sample. To calculate the point estimate, follow these steps:

Collect a representative sample from the population of interest. The sample should be randomly selected to ensure it is unbiased and reflects the population.

Determine the number of individuals in the sample who possess the characteristic of interest. Let's denote this as "x".

Calculate the sample proportion by dividing "x" by the sample size, denoted as "n". The sample proportion is the estimated proportion of the characteristic in the sample.

Sample Proportion (p-hat) = x / n

The point estimate of the population proportion is equal to the sample proportion. Therefore, the point estimate is the value calculated in step 3.

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The point estimate of a population proportion is calculated by dividing the number of successes in the sample by the sample size.

To calculate the point estimate of a population proportion, you need to follow these steps:

Mathematically, the formula for calculating the point estimate is:

Point Estimate = (Number of Successes in Sample) / (Sample Size)

Remember that the point estimate is just an estimate and may not be exactly equal to the true population proportion. The accuracy of the point estimate depends on the sample size and the variability in the population.

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The opposite side of the right angle triangle by using Tan.

\(tan \: 22 = \frac{x}{12} \)

\(x = 12 \times tan \: 22\)

\(x = 4.8 \: cm\)

Therefore, the opposite side of the right angle triangle is 4.8 centimeters

x/12

x= 12*tan 22

x= 4.8 cm

hope this helps

Answer:

The correct option is;

D. AAS Congruence Theorem

Step-by-step explanation:

Quadrilaterals ADEB is a parallelogram

Given that the following statements have been proved;

i) Segment AB is congruent to segment DE

ii) Angle FDE is congruent to angle FBA

iii) Angle DFE  is congruent to angle AFB

Then triangle AFB is congruent to triangle EFD Angle Angle Side (AAS) Congruence Theorem

Answer:

the triangle is an isosceles triangle.

Step-by-step explanation:

Check the picture below.

If two events are collectively exhaustive, then the probability that both occur at the same time is 0 .(option-a)

Tossing a coin is an illustration of two occurrences that are both mutually exhaustive and mutually exclusive. When we flip a coin, we can only obtain either a head (H) or a tail (T), never both (H) and (T). As the events are mutually exclusive in this situation, the probability of receiving both a head and a tail is equal to P(H and T) = 0, and the chance of getting either a head or a tail is equal to P(H or T) = 1 since the occurrences are mutually exhaustive.

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The value of \(a_3\) + \(b_3\) = 21 i.e. the sum of the third terms in the arithmetic and geometric sequences is 21.

To find the third term of an arithmetic sequence, we can use the formula:

\(a_3\) = \(a_2\) + d

where \(a_3\) is the third term, \(a_2\) is the second term, and d is the common difference between consecutive terms in the sequence.

In this case, the second term is \(a_2\) = -12 and the common difference is d = \(a_2\) - \(a_1\) = -12 - 3 = -15. Substituting these values into the formula, we get:

\(a_3\) = -12 + (-15) = -27

To find the third term of a geometric sequence, we can use the formula:

\(b_3\) = b2 * r

where \(b_3\) is the third term, \(b_2\) is the second term, and r is the common ratio between consecutive terms in the sequence.

In this case, the second term is \(b_2\) = -12 and the common ratio is r = \(b_2\) / \(a_1\) = -12 / 3 = -4. Substituting these values into the formula, we get:

\(b_3\) = -12 * (-4) = 48

To find the sum of the third terms in the arithmetic and geometric sequences, we can add \(a_3\) and \(b_3\):

\(a_3\) + \(b_3\) = -27 + 48 = 21

Therefore, the sum of the third terms in the arithmetic and geometric sequences is 21.

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The complete question is -

The first two terms of a sequence are a1=3 and a2=-12. Let a3 be the third term when the sequence is arithmetic and let b3 be the third term when the sequence is geometric. Find a3+b3.

Answer: 21 cups of sugar, 7 cakes

Solve the following proportion:

3/5=x/35

Cross multiply:

5x=35(3)

5x=105

x=21 cups of sugar

3 cups of sugar= 1 cake

21 cups of sugar= x cakes

Cross multiply:

3x=21

21/3

7 cakes

Answer:

Step-by-step explanation:

Two equations can be written to describe the desired relationships. One can describe the total quantity of gold alloy needed. The other can describe the amount of gold in the combination of alloys.

Let x and y represent the quantities in grams of 85% and 70% gold alloy needed, respectively.

  x + y = 20 . . . . . . Shannon needs a total of 20 grams

  0.85x +0.70y = 0.80(20) . . . . . the amount of gold in the mix of alloys

__

These equations are often nicely solved by substitution. Substituting for y, we have ...

  0.85x +0.70(20 -x) = 0.80(20)

  0.15x = 0.10(20) . . . . . . . eliminate parentheses, subtract 0.70(20)

  x = 40/3 = 13 1/3 . . . . . divide by 0.15

  y = 20 -13 1/3 = 6 2/3

Shannon should use 13 1/3 grams of 85% alloy and 6 2/3 grams of 70% alloy.

The value of 7 in 17.92 is in the ones place.

In the given scenario, the inhabitants of Life is Good island produce both wheat and poultry. The table provides the maximum annual output combinations of wheat and poultry that can be produced, based on the available resources and technology.

To determine the opportunity cost of increasing the annual output of wheat, we compare the quantity of poultry given up in each scenario. Specifically, we calculate the difference in poultry quantity between two output levels of wheat: from 900 to 1100 pounds, and from 200 to 400 pounds.

To calculate the opportunity cost of increasing the annual output of wheat from 900 to 1100 pounds, we need to compare the corresponding quantities of poultry. From the table, we can see that the quantity of poultry decreases from 450 pounds to 300 pounds when wheat production increases from 900 to 1100 pounds. Therefore, the opportunity cost of this increase in wheat output is 150 pounds of poultry (450 - 300).

Similarly, to calculate the opportunity cost of increasing the annual output of wheat from 200 to 400 pounds, we compare the quantities of poultry. The table shows that the poultry quantity decreases from 775 pounds to 725 pounds when wheat production increases from 200 to 400 pounds. Hence, the opportunity cost of this increase in wheat output is 50 pounds of poultry (775 - 725).

In both cases, the opportunity cost is determined by the reduction in poultry quantity resulting from an increase in wheat production.

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Answer:

Step-by-step explanation:

first you would want to flip the equation then multiply 9 on both sides to get

5(F-32)=9C

Then you would want to divide both sides by 5 which crosses out the 5 from the equation and is moved to the other side which then were you simplify getting

F-32=9C/5

Lastly you want to add 32 to both sides causing - 32 to cross out getting

F=9C/5 +32

making F=9C/5 + 32 our answer

The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).

Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.

By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.

The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.

Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.

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Answer:

90

Step-by-step explanation:

15*6=90...

Answer:

60%

Step-by-step explanation:

Answer:

B. m<B = 65°; m<C = 115°

Step-by-step explanation:

First find the value of x:

3n + 20 = 6n - 25 (opposite bangles if a parallelogram are equal)

Collect like terms

3n - 6n = -20 - 25

-3n = -45

Divide both sides by -3

n = 15

✔️Find angle B:

m<B = 3n + 20

Plug in the value of n

m<B = 3(15) + 20

m<B = 45 + 20

m<B = 65°

✔️Find angle C:

m<C = 180 - m<B (consecutive angles of a parallelogram are supplementary)

m<C = 180 - 65

m<C = 115°

Answer:

180  

Step-by-step explanation:

triangle 1/2 base x height = area    45 x 4 = 180

There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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The correct option from the given choices is 4) 5,070. Determine the reorder point in a continuous review policy with a cycle service level of 95%,

We can use the following formula:

Reorder Point = R + Z * sqrt(L * \(σ^2_R\))

Where:

- R is the average demand during lead time

- Z is the Z-score corresponding to the desired service level (95% corresponds to a Z-score of approximately 1.645)

- L is the lead time

- \(σ^2_\)R is the variance of demand during lead time

Given:

R = 1500

\(σ^2\)R = 200

L = 3

Using the formula, we can calculate the reorder point:

Reorder Point = 1500 + 1.645 * sqrt(3 * 200)

Reorder Point ≈ 1500 + 1.645 * sqrt(600)

Reorder Point ≈ 1500 + 1.645 * 24.4948974

Reorder Point ≈ 1500 + 40.2570784

Reorder Point ≈ 1540.2570784

Rounding the reorder point to the nearest whole number, we get:

Reorder Point ≈ 1540

Therefore, the correct option from the given choices is 4) 5,070.

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The given expression, cos(pi/12)cos(5pi/12) + sin(pi/12)sin(5pi/12), is equivalent to 1/2.

The given expression is:

cos(pi/12)cos(5pi/12) + sin(pi/12)sin(5pi/12)

To find an equivalent expression, we can use the trigonometric identity for the cosine of the difference of two angles:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

Comparing this identity to the given expression, we can see that A = pi/12 and B = 5pi/12. So we can rewrite the given expression as:

cos(pi/12)cos(5pi/12) + sin(pi/12)sin(5pi/12) = cos(pi/12 - 5pi/12)

Using the trigonometric identity, we can simplify the expression further:

cos(pi/12 - 5pi/12) = cos(-4pi/12) = cos(-pi/3)

Now, using the cosine of a negative angle identity:

cos(-A) = cos(A)

We can simplify the expression even more:

cos(-pi/3) = cos(pi/3)

Finally, using the value of cosine(pi/3) = 1/2, we have:

cos(pi/3) = 1/2

So, the equivalent expression is 1/2.

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Answer:

A

Step-by-step explanation:

Answer:

A) (4,8) is the correct answer.

Step-by-step explanation:

Step: Solvey=2xfor y:

y=2x

Step: Substitute2xforyiny=x+4:

y=x+4

2x=x+4

2x+−x=x+4+−x(Add -x to both sides)

x=4

Step: Substitute4forxiny=2x:

y=2x

y=(2)(4)

y=8(Simplify both sides of the equation)

Hope this helps!

Answer: on the screenshot

Step-by-step explanation: linear function should go down or up(straight line)

Answer:

y = 2x – 8

Hope this helps!

Answer:

52ft

Step-by-step explanation:

You divide the box in 2 pieces and multiply the numbers by the separate boxes that you made, then you add them.

5x2= 10

8-2= 6 -----> 7x6= 42

10 + 42 = 52

Answer: The first box is 56 The second box is 4 and the last is 52

Step-by-step explanation: The total area of the full rectangle is 8×7=56

The area of the small cut out portion is 2×2=4

The area of the remaining figure is 56-4=52

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer: money is not important

Step-by-step explanation:

figure it out lazy