MATHEMATICS HIGH SCHOOL

Heights of adults vary according to anormal distribution with a mean of 5.5
feet and a standard deviation of 0.5
feet. Which of the following is the
probability that a randomly selected
adult has a height over 7 feet?

Answers

Answer 1
Answer:

The probability that a randomly selected adult has a height over 7 feet is nearly 100%, which means it's very likely that a randomly selected adult will have a height over 7 feet in this normal distribution.

To find the probability that a randomly selected adult has a height over 7 feet in a normal distribution with a mean of 5.5 feet and a standard deviation of 0.5 feet, you can use the Z-score and the standard normal distribution table.

First, calculate the Z-score for a height of 7 feet using the formula:

\[Z = (X - \mu)/(\sigma)\]

Where:

- X is the value you're interested in (in this case, 7 feet).

- μ (mu) is the mean (5.5 feet).

- σ (sigma) is the standard deviation (0.5 feet).

\[Z = (7 - 5.5)/(0.5)\n = (1.5)/(0.5) \n= 3\]

Now, you have the Z-score, which represents how many standard deviations above the mean the height of 7 feet is.

Next, you can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 3. In most standard normal distribution tables, a Z-score of 3 corresponds to a probability close to 1 (or 100%).

To know more about  normal distribution:

brainly.com/question/30390016

#SPJ1

Related Questions

Use Excel to find the critical value of z for each hypothesis test. (Round your answers to 3 decimal places. Negative values should be indicated by a minus sign.) (a) 10 percent level of significance, two-tailed test. Critical value of z ± (b) 1 percent level of significance, right-tailed test. Critical value of z (c) 5 percent level of significance, left-tailed test. Critical value of z
The city park shown at the right has an area of 6889 m². The parks length along the front Street is 83 m. Find the length of the park along second Avenue.
Which of these is the algebraic expression for "4 times the sum of 2 and y?"4 ⋅ 2 + y4(2 + y)2 + 4 ⋅ y2(4 + y)
A nut mixture of almonds and cashew nuts at a small fair is $1.00 per pound of almonds and $3.55 per pound of cashew nuts. Over the entire day, 65 pounds of the nut mixture were sold for $189.95. If p is the number almonds and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=65 p+3.55n=189.95 Determine the correct description and amount of pounds for almonds and cashew nuts that were sold
That you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.#1: body_ACT_0506_-_56 #2: body_ACT_0506_-_59 #3: body_ACT_0809_-_38_J #4: body_ACT_0809_-_54 #5: body_ACT_0809_-_55-1 #6: body_ACT_0809_-_56 #7: body_ACT_0809_-_57-1 #8: body_ACT_0809_-_60 #9: body_ACT_1112_-__48-1 #10: body_ACT_1112_-_45 #11: body_ACT_1112_-_51-1 #12: body_ACT_1112_-_52 #13: body_ACT_1112_-_53 #14: body_ACT_1112_-_58 #15: body_ACT_1314_-_55-1

What is the solution to the equation?7(5 + 9) = 7 • x + 7 • 9

A.
x = 1

B.
x = 5

C.
x = 7

D.
x = 9

Answers

35 + 63 = 7x + 63
35 = 7x
--- ---
7 7
x = 5

HELP PLEASEEEeeeeeeeeeeee

Answers

The answer would be D.
21120*0.7=14784

14784/13.5=1095.111

21120*0.3=6336

6336/20=316.8

1095+317=1412

1412 vehicles are stuck in the traffic jam.

Can someone please help me with this math question PLEASE HELP THIS IS URGENT

Answers

Answer:

(- 1, 4 )

Step-by-step explanation:

x = 1 is a vertical line passing through all points with an x- coordinate of 1

The point P(3, 4) is to units to the right of x = 1.

Hence the refection will be 2 units to the left of x = 1

P' = (1 - 2, 4 ) = (- 1, 4 )

What is the answer to
2x + 3y = 13
x = 2

Answers

\bf2x+3y=13

Plug in x = 2:

\bf2(2)+3y=13

Multiply:

\bf4+3y=13

Subtract 4 to both sides:

\bf3y=9

Divide 3 to both sides:

\bf~y=3

So our solution is \boxed{\bf(2,3)}
  2x + 3y = 13
2(2) + 3y = 13
    4 + 3y = 13
 - 4            - 4
          3y = 9
           3     3
           y = 3

What is the answer to 3d+8=2d-17

Answers

 the answer to 3d+8=2d-17 is

d=-25

An electronics company is planning to introduce a new line of computers. For the 1st year, the fixed costs for setting up the production line are $200,000. The variable costs for producing each computer are $40. the revenue from each computer is $65. find the total profit P(x) from the production and sale of x computers and break-even point.

Answers

P(x) = 200.000 - 25x --> from (65-40)

breakeven
200000 = 25x
x = 8000

hope this help
Other Questions
A sheet of glass has a density of 2.5 g/cm3what is the density of the glass in? kg/m3PLEASE HELP!!!!!!!!
A cube with side length 5h^2 is stacked on another cube with side length 3k What is the total volume of the cubes in factored form?
4.5ft is what circumference of a circle
Students plan to pay back half the debt now though fundraising, and the rest after the harvest. Write an equation to represent the debt they will repay through fundraising. Use a negative integer to show debt. Use "D" to represent the debt that will be repaid by through fundraising