assume that the height of men are normally distributed with a mean of 70.9 inches and a standard deviation of 2.1 inches if 36 men are randomly selected find the probability that they have the mean height greater than 71.9 inches

Answer:

THE HEIGHT OF THE KITE FROM THE GROUND=80mtr

Step-by-step explanation:

let H be the height of kite from ground

[tex]\sin\theta[/tex]=[tex]\frac{height}{hypotenuse}[/tex]

[tex]\sin\90[/tex]=[tex]\frac{H}{80}[/tex]

1=[tex]\frac{H}{80}[/tex]

H=80meters

Answer: your answer is four

Step-by-step explanation: I basically did 80-56 since he bought a shirt that cost 56 dollars so then from that we found out how much money he has left which is $24 now since were looking for the amount of socks he could possible but I then divide $24 by 6 since each pair cost $6 which then gives you 4.

Answer:

that makes no sense unless you meant to put 30 instead of 3 then the answer would be 15

Step-by-step explanation:

Answer:

a) The very first one where the line starts to the left

b) m=125.82

c) 320.81 thousand dollars

Step-by-step explanation:

a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left

b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.

c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get

y=125.82 (4)-182.47 =320.81 thousand dollars

Answer:

7

Step-by-step explanation:

We know, slope = rise/ run. We can use this slope formula to find out the value of every pizza.

So, 58-25/( 5-2) = 33/ 3= 11

So, every pizza costs $11

Now, A customer pays $80 for a number of pizzas. So, if we divide 80 by 11 we can find the value of unknown number of pizzas he ordered.

So, 80/11= 7.27

Here, pizzas can't be fraction and cost of a delivery fee is added to the cost. So, we can remove the fraction.

So, the customer ordered 7 pizzas for $80.  

Step-by-step explanation:

For the given figure PQRS:

Given:

[tex]PS\perp SQ[/tex]    

[tex]RQ\perp QS[/tex]

[tex]PQ\cong RS[/tex]

To prove

[tex]\triangle PSQ\cong \triangle RQS[/tex]

In Δ PSQ and ΔRQS

[tex]PS\perp SQ[/tex]                             [Given]

[tex]\angle PSQ=90\°[/tex]                     [Definition of perpendicular lines]

[tex]\triangle PSQ[/tex] is a right triangle      [Definition of right triangles]

[tex]RQ\perp QS[/tex]                             [Given]

[tex]\angle RQS=90\°[/tex]                     [Definition of perpendicular lines]

[tex]\triangle RQS[/tex] is a right triangle      [Definition of right triangles]

[tex]PQ\cong RS[/tex]                   [Given hypotenuse of both triangles congruent]

[tex]SQ\cong QS[/tex]     [ By reflexive property of congruence side QS

                              congruent to itself ]

[tex]\triangle PSQ\cong \triangle RQS[/tex]     [H.L. congruence postulate]

Thus triangles are are congruent by Hypotenuse Leg postulate.

Answer:

$23.41

Step-by-step explanation:

Add the cost of each item together.

$9.95 + $13.46 = $23.41

And there may have been sales tax as well but this information was not provided so it is not needed in the answer.

Answer:

Day 1 = 85 dollars

Day 2 = 110 dollars

Day 3 = 135 dollars

Day 4 = 160 dollars

Step-by-step explanation:

$60 is a one time fee so only has to be used once in a formula.

Y:25x+60 X= the # of days so just multiply numbers of days by 25 then add the 60.

To find the duration of workout plans A and B offered by Shen, we set up a system of linear equations and solved them. Both plans last 1.25 hours each.

Let us denote the duration of workout Plan A as A hours and Plan B as B hours. We can use the provided information to set up a system of linear equations representing the total training time on each day. On Friday, 3 clients did Plan A and 5 did Plan B for a total of 10 hours, leading to the equation 3A + 5B = 10. On Saturday, 6 clients did Plan A and 2 did Plan B for a total of 10 hours, resulting in the equation 6A + 2B = 10.

To solve this system of equations, we can use substitution or elimination. Multiplying the first equation by 2 gives us 6A + 10B = 20. Then we can subtract the Saturday equation from this to find the value of B:

Now that we know the duration of Plan B, we can plug this into either of our original equations to find the duration of Plan A. Let's use the Friday equation for this purpose:

As it turns out, both workout plans last the same amount of time, 1.25 hours each.

Answer:

6 tickets

Step-by-step explanation:

you can't round it so just says 6 tickets with left over money

The number of tickets Roberto can buy with his $200 is 6 tickets.

The total amount Roberto has to spend on tickets = $200.

The cost of each ticket = $30.

We need to find the number of tickets Roberts can buy for the hockey game.

Total amount to spend on ticket = $200.

Cost of each ticket = $30.

The number of tickets possible to buy with $200 :

= 200 / 30

= 6.67 tickets.

We can not have 6.67 tickets so we can say 6 tickets.

Since each ticket cost $30, the total cost for the ticket is :

= 6 x $30

= $180

So after buying 6 tickets Roberto will be left with $20.

The number of tickets Roberto can buy with his $200 is 6 tickets.

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Answer:

Parallelogram

Step-by-step explanation:

Mara's family's average rate of travel, R, is calculated by dividing the total distance of 239.4 miles by the total time of 4.5 hours and then rounding to the nearest mile per hour.

To determine Mara's family's average rate of travel, R, you should start by calculating the total travel time. They started at 9:10 a.m and ended at 1:40 p.m, which is a span of 4 hours and 30 minutes, or 4.5 hours when converted to decimals to match the units of the distance traveled. Now use the formula for average speed, which is distance divided by time.

So, R = total distance / total time.

Substitute the given values into this formula to arrive at R = 239.4 miles / 4.5 hours. To find the average rate of travel, rounded to the nearest mile per hour, you would complete the division and then round the result.

Example Equation:

R = 239.4 miles / 4.5 hours

Answer:

p=0.15 p'=0.24 Option D

Step-by-step explanation:

Every 14 minutes, a type of bacteria reproduces itself. The whole situation represents also a relationship and a function. It multiplies itself all the 14 minutes, that is an exponential function.

Therefore, the final answer is "Option B".

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Answer:

both a relation and a function

Step-by-step explanation:

Rounding to the nearest ten thousands, look at the thousands number, if it is 5 or higher round up, if it is less than 5 round down.

The thousands number is 3, so round down to the neareast ten thousands:

The answer would be 20,000

The number 23,478  rounded to the nearest ten thousands is 20,000

From the question, we have the following parameters that can be used in our computation:

Number = 23,478

By definition, to round a number to the nearest nearest ten thousands, look at the next place value to the right (the hundred thousands)

Using the above as a guide, we have the following:

Number = 20,000 to to the nearest ten thousands

Hence, the number to to the nearest ten thousands is 20,000

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Answer:

2, 9, 28

Step-by-step explanation:

To find the first 3 terms substitute n = 1, 2, 3 into the formula, that is

1³ + 1 = 1 + 1 = 2

2³ + 1 = 8 + 1 = 9

3³ + 1 = 27 + 1 = 28

The first 3 terms are 2, 9, 28

Answer:

Step-by-step explanation:

if we divided 24/8 we can see that i takes 1 cup of flower for every 3 muffins so what divided by 3 gives us 30? 10 so you would need 10 cups

Answer:

7/21

Step-by-step explanation:

1/3 = 0.333333

7/21 = 0.3333333

Answer:

The 7/21

Step-by-step explanation:

You can simply it by dividing the 7 by 7 which equals 1 and the 21/7 equals 3 so that means it equals 1/3

Answer:

6 miles

Step-by-step explanation:

1/3 of 18 is 6 since 18 / 3 is 6

Answer:

6

Step-by-step explanation:

18 divided by 3 =6

The value of k that makes the system of equations have no solution is k = -0.25. This is because -0.25 makes the third equation parallel to the first two, resulting in no intersection or solution to the system.

The system of equations provided relates to the concept of systems of linear equations in mathematics. When a system of equations has no solution, it means the graphs of the equations do not intersect. To find the value of k where there is no solution, we determine when the planar coefficients of each equation are proportional. This occurs when the two planes are parallel and hence, do not intersect.

By examining the coefficients, we notice that dividing the coefficients from the first equation by -4 gives us the coefficients of the second equation, meaning the first two equations represent the same plane. Thus, k does not affect the first two equations. For the system to have no solutions, the third plane must be parallel to the first two, meaning the coefficients must have a ratio equal to k. If we set the coefficients from the third equation with the coefficients from the first one, we end with the proportion k/1 = 1/-4 = 3/10. Solving for k gives us a value of -0.25.

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Answer:

The simple interest on the given principal after 1 year = Rs. 1,000

The amount Rishav has to pay after an year  = Rs 11,000

Step-by-step explanation:

Here, the Principal amount taken = Rs 10,000

Rate of Interest = 10%

Time Period  = 1 year

Now, the SIMPLE INTEREST  = [tex]\frac{P \times R \times T}{100}[/tex]

or, [tex]SI = \frac{10,000 \times 10 \times 1}{100}  = 1,000[/tex]

So, the simple interest on the given principal after 1 year = Rs. 1,000

Now, Amount = Principal + Simple Interest

or , A = 10,000 + 1,000 =  11, 000

Hence, the amount Rishav has to pay after an year  = Rs 11,000

Answer:

m = 4

Step-by-step explanation:

12m - 15 = 3 (2m + 3)

12 m - 15 = 6m + 9

12m - 6m - 15 = 6m - 6m + 9

6m - 15 = 9

6m - 15 + 15 = 9 + 15

6m = 24

(1/6) 6m = 24 (1/6)

m = 4

Answer:

512 gallons of water

Step-by-step explanation:

8 to the power of 3 simply means 8 times 8 times 8.

hoped it helped.

Answer:

times it by 3 on both sides should get 180

Step-by-step explanation:

The equivalent time to 2 h 26 min is 146 min ⇒ 2nd answer

Step-by-step explanation:

Let us revise how to change a time from hours and minutes to minutes

Ex: change 3 h 13 min to min, Multiply 3 by 60 and then

and the answer by 13 [(3 × 60) = 180 + 13 = 193], then

3 h and 13 min = 193 min

Let us do the same with your problem

2 h 26 min

∵ The number of hours = 2

∵ 1 hour = 60 minutes

∴ 2 hours = 2 × 60 = 120 minutes

∵ The number of minutes = 26

- Add 120 to 26

∴ 2 h 26 min = 120 + 26 = 146

The equivalent time to 2 h 26 min is 146 min

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Answer:

The total profit for the six month of Jaxon's business is $335.

Step-by-step explanation:

Here, the profit in the business for the first month = $450

Now, the company suffers for loss of $ 60 per month for 4 months.

SO, the total loss in 4 months = 4 x ( loss in 1 month)

= 4 x ( $ 60)  = $240

So, the combined loss in next four months  = $ 240

Lastly, the profit in the final sixth month of business =  $ 125

So, combined PROFIT in the business = Profit in( First + Sixth)  Month  

                                                       = $ 450+ $ 125 = $575

Total loss in the six months  = $ 240

Now, total profit for the six month of Jaxon's business

= Total Profit - Total Loss

= $575 -  $ 240 = $335

Hence, the total profit for the six month of Jaxon's business is $335.

Answer:

1-8 would be 1 minus 8, which would give you the answer of -7.

Step-by-step explanation:

For myself, imagine the numbers on a number line, such as on the coordinate plane. Imagine 1(positive 1) plotted on the positive side. "Minus 8 would mean jumping back 8 times, which would bring you to negative 7, or -7.

Answer:

The length of the rectangle is x+3.

Step-by-step explanation:

(x^2+x-6)/(x-2)=x+3

Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6, which is the area.

Since the width is x-2, you can find the length very easily.

Answer:

All triangles equal up to 180⁰. With that in mind, let's solve

Step-by-step explanation:

x + 124⁰ + 33⁰ = 180⁰

    \_______/

x    +   157⁰      = 180⁰

      -   157⁰         -157⁰

    _______   ______

x                      =   23⁰

x = 23⁰

The bolded part is your answer. I hope this helps!

Answer:

The x is equal to 23°.

Step-by-step explanation:

Because any triangle's three angles add up to 180°, all you have to do is add the other two angles together and subtract that sum from 180.

180 - (124 + 33) = 23°

Hope this helps,

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