Heights of women are normally distributed with mean of 63.6 inches and standard deviation of 2.5 inches. The USA Army requires women's heights to be between 58 inches and 80 inches. Find the % of women meeting that requirement. Are many women being denied the opportunity to join the Army because they are too short or too tall?

Answer:

\(r=\frac{44}{\pi }\)

Step-by-step explanation:

\(88=2\pi r\)

\(\mathrm{Switch\:sides}\\2\pi r=88\\\frac{2\pi r}{2\pi }=\frac{88}{2\pi }\\r=\frac{44}{\pi }\\or\\r=14.00563\)

Answer:

2 metres

Step-by-step explanation:

Circumference = 2 × π × r

→ Substitute in the values

88 = 2 ×  \(\frac{22}{7}\)  × r

→ Divide both sides by 2 to isolate  \(\frac{22}{7}\)  and r

44 =  \(\frac{22}{7}\)  × r

→ Multiply everything by 7 to get rid of the fraction

308 = 22 × 7r

→ Divide the equation by 22 to isolate 7r

14 = 7r

→ Divide the equation by 7 to isolate r

2 = r

The radius of the circle with a circumference of 88 meters is 2 metres

Answer:

4/3

Step-by-step explanation:

Answer:

216 cubic centimeters

Step-by-step explanation:

The details of the word problem are as follows;

The length of the edges of a cube, s = 6 cm

The volume of the cuboid = The volume of the cube

The length of a side of the cuboid = 4 cm

The length of the other side of the cuboid - 6 cm

The volume of the cube, V = 6 cm × 6 cm × 6 cm = 216 cm³

The volume of the cuboid, \(V_c\) = 4 cm × 6 cm × T

Where 'T' represent the length of the third side

Therefore, 'T' = 216 cm³/(4 cm × 6 cm) = 9 cm

The length of the third side, T = 9 cm

The volume of the cuboid = The volume of the cube = 216 cm³

Answer:

I think it's 10 or 10.5 not sure

Step-by-step explanation:

- The initial value of the function is obtained when t=0. Replace this value into the formula for V(t):

V(0) = 659,000(0.79)⁰ = 659,000

- The function represent a decay because the factor exponentiated, 0.79, is lower than 1.

- 0.79 represents a decay of

1 - 0.79 = 0.21

which is equivalent to a decay of 21%

Answer:

The race is 7/9 miles long

Step-by-step explanation:

1/3 = 3/9

3/9 + 4/9 = 7/9

Answer:

simplified:

\(\frac{d}{x^3}\)

and Find the integral if that's what you also wanted:

\(-\frac{1}{3x^3} +3\)

Answer:

x=66

Step-by-step explanation:

Answer:

sorry i don't know

Step-by-step explanation:

In this implementation of the "tribonacci" function in Scheme allows you to compute the nth Tribonacci number accurately by following the defined recursive formula.

In Scheme, we can define a recursive function named "tribonacci" to compute the nth Tribonacci number. The function will take an integer argument "n" and return the corresponding Tribonacci number.

Here's the implementation of the "tribonacci" function in Scheme:

```scheme

(define (tribonacci n)

 (cond ((= n 0) 0)

       ((= n 1) 0)

       ((= n 2) 1)

       (else (+ (tribonacci (- n 1))

                (tribonacci (- n 2))

                (tribonacci (- n 3))))))

```

The function uses a recursive approach to compute the Tribonacci number. It checks the base cases where n is 0, 1, or 2, and returns the corresponding values.

For n greater than 2, it recursively calculates the Tribonacci number by summing the previous three terms: (tribonacci (- n 1)), (tribonacci (- n 2)), and (tribonacci (- n 3)).

Therefore, this implementation of the "tribonacci" function in Scheme allows you to compute the nth Tribonacci number accurately by following the defined recursive formula.

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Answer:

x is = 25° by complimentary angles

Answer:

fx) = \(3x+4\)

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3(\(x\) - 1) 2 + 5

\(fx) = 3x-1+2+5\)

2. step:

use the BEDMAS form.

fx) = \(3x-3+7\)

fx) = \(3x+4\)

Answer: $8

From the table given, we obtained the below information

Number of cars Money ($)

5 40

10 80

15 120

20 160

Calculate the constant rate of change in dollars per car

For the first given data

The total number of cars washed is 5

The total money to washed the 5 cars is $40

Rate of change in dollars per car = Total amount of money / the total number of cars

Rate of change = 40 / 5

= $8

The same procedure applicable to the rest data

For 10 cars and $80

The rate of change in dollars per car =80/10

= $8

For 15 cars and $120

The rate of change in dollars = 120 / 15

= $8

For 20 cars and $160

The rate of change in dollars per car = 160 / 20

= $8

The constant rate of change in dollars per car is $8

The answer is $8

Answer:

\( \sqrt[3]{ \frac{ {y}^{5} }{27 {y}^{3} } } = \sqrt[3]{ \frac{ {y}^{3} ({y}^{2}) }{27 {y}^{3} } } \\ \\ \\ = \sqrt[3]{ \frac{ {y}^{2} }{27} } = \frac{ \sqrt[3]{ {y}^{2} } }{ \sqrt[3]{27} } \\ \\ \\ = \frac{ \sqrt[3]{ {y}^{2} } }{3} \)

I hope I helped you^_^

Of the given statements, the action helpful to your credit score is having long-standing lines of credit.

Of the given statements, the ones that describe actions helpful to your credit score are:

I. Quickly paying off debts: Paying off debts promptly is generally beneficial for your credit score. It demonstrates responsible financial behavior and shows that you can manage your debts effectively. Timely debt repayment indicates to lenders that you are reliable and can be trusted with credit.

III. Having long-standing lines of credit: Having long-standing lines of credit can positively impact your credit score. Lengthy credit history allows credit agencies to assess your borrowing behavior over an extended period. If you have a history of responsibly managing credit accounts over time, it reflects positively on your creditworthiness and can improve your credit score.

On the other hand, statement II. Having recent debts does not necessarily describe an action helpful to your credit score. Recent debts alone do not directly contribute to improving your credit score. The impact on your credit score depends on how you manage those debts and make timely payments.

It's important to note that these actions are general guidelines, and the overall impact on your credit score may vary based on various factors and individual circumstances. Other factors such as credit utilization, types of credit, and overall credit management also play a role in determining your credit score.

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The probability that a randomly chosen person has either no opinion, no confidence, or very little confidence in small businesses can be found by adding the probabilities of each of these individual events occurring.

This can be done using the formula P(A or B or C) = P(A) + P(B) + P(C) - P(A and B) - P(A and C) - P(B and C) + P(A and B and C).

Similarly, the probability for big businesses can be found using the same formula.
It is important to note that the probabilities of these events occurring must be known in order to calculate the overall probability.

Without this information, it is not possible to determine the probability that a randomly chosen person has either no opinion, no confidence, or very little confidence in small or big businesses.

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Answer:

7/9

Step-by-step explanation:

Just flip the numbers around.

Those activities that enable a person to describe in the detail the system that solves the need is called "System design".

The method of defining the components of a system consists, modules, and components, the various interfaces of those components, and the data that flows through that system is known as system design.

Some key features regarding the system design are-

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No, these two events cannot be disjoint. Disjoint events, also known as mutually exclusive events, are events that cannot occur simultaneously.

In other words, if events A and B are disjoint, it means that the occurrence of one event excludes the possibility of the other event occurring.

However, in this case, we are given that P(A) > 0 and P(B) > 0. This means that both events A and B have non-zero probabilities of occurring. Since both events have a positive probability, they cannot be disjoint because there is a possibility of their intersection, where both events occur simultaneously.

Disjoint events would have the property that P(A ∩ B) = 0, indicating that their intersection is an empty set. But given that P(A) > 0 and P(B) > 0, it implies that there is some non-zero probability for the events A and B to occur together, making them not disjoint.

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Answer:

2

Step-by-step explanation:

Use the area of a triangle, given 3 points formula:

A:  (x1, y1) = (0,4)

B:  (x2, y2) = (2,4)

C:  (x3, y3) = (-1,6)

Area = 1/2|x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|  

plug in all the coordinates

Area = 1/2|(0·4) - (2·4) + (2·6) - (-1·4) + (-1·4) - (0·6)|

         = 1/2|0 - 8 + 12 + 4 - 4 - 0|

         = 1/2|-8 + 12 + 4 - 4|

         = 1/2|4|

         = 2

Answer:

You have a fixed cost ($20) and a variable cost ($2*number of hours you rent the bike)

Cost = Variable Cost + Fixed Cost

Let y = your Cost and x = the number of hours you rent the bike.  The fixed cost is $20.

y = ($2 per hour)*(x hours) + $20

y = 2x + 20

Answer:

No

Step-by-step explanation:

75%

21

28 5.88

21 x 28

100

= 5.88

x 100% = 75%33.3333333333%

28 - 21

21

x 100% = 33.3333333333%

Answer:

true

Step-by-step explanation:

Answer: I think B

Step-by-step explanation:

After finding the LCM, the sum of 8/9 and 3/4 is 59/36

In the given question, we have to find the sum of 8/9 and 3/4.

The given numbers are 8/9 and 3/4

Sum = 8/9 + 3/4

The denominator of the both number are different. So to find the sum we find the LCM of the both number 9 and 4.

So the LCM of 9 and 4 is 36.

Multiply 4 on the number 8/9 and 9 on the number 3/4. So

Sum = \(\frac{8}{9}\times\frac{4}{4}+\frac{3}{4}\times\frac{9}{9}\)

Sum = 32/36 + 27/36

Now the denominator is same. So now we add them.

Sum = (32+27)/36

Sum = 59/36

Hence, the sum of 8/9 and 3/4 is 59/36.

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y ( x) =  \(C_{1} e^{-2x} + C_{2} e^{-2x} + x^{2} - 5 x + \frac{9}{2}\) is the result of solving the subsequent differential equation with unknown coefficients.

One or more functions and [some of] their derivatives are connected by a differential equation. The [first] derivative of the function with respect to the variable is illustrated in the following example. Differentials are a term used to describe the and elements.

given

1/4 y'' + y' + y = x2 − 3x

The auxilary equation is

1/4 \(m^{2}\) + m + 1 = 0

\(m^{2}\) + m + 1 = 0

\(( m- 2)^{2}\) = 0

m = -2 , -2

= A =1 , 2A+ B = -3 , 1/2A + B = 0

A = 1 , B = - 5 , C = 9/ 2

Then the general solution is

y = yc + yp

y ( x) =  \(C_{1} e^{-2x} + C_{2} e^{-2x} + x^{2} - 5 x + \frac{9}{2}\) is the result of solving the subsequent differential equation with unknown coefficients.

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