Using the information below, answer the next 3 questions: The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)

Answers

Answer 1

Answer: 0.655

Step-by-step explanation:

Let X be a random variable that represents percent of fat calories that a person in America consumes each day.

As per given , X is normally distributed with a mean [tex]\mu=36[/tex] and a standard deviation [tex]\sigma=10[/tex].

Sample size : n= 16

The probability that the average percent of fat calories consumed is more than 35:

[tex]P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}][/tex]

Hence, Required probability =0.655


Related Questions

Devaughn is 6 years older than Sydney. The sum of their ages is 70. What is Sydney's age?​

Answers

Answer:

29

Step-by-step explanation:

if you take 70 and divide it by 2 (cuz there are 2 People) then subtract 6 (because ones 6 years older) then you get 29

70/2=35-6= 29

Sydney is 32 and Devaughn is 38 32 + 38

A couple stars please.

2. Which of these statements is true?
O a) For every point on the number line there is only one number that corresponds to that point,
Ob) Every point on the number line, though it represents a single unique number, can be expressed in a
number of equivalent forms.
Oc) There is no number on the number line whose absolute value is the same as Itself.
d) Both (a) and (b)

WILL GIVE BRAINLIEST!

Answers

Answer:

a For every point on the number line there is only one

Which graph shows a proportional relationship???

Answers

Answer:

D :)

Step-by-step explanation:

7. Pebble Trebble [5 Points]Mark has 5 pebbles and 3 fish tanks. If each fish tank must have at least one pebble, howmany different ways are there for Mark to put the pebbles in tanks if

Answers

Answer:

If each fish tank must have at least one pebble, the many different ways that Mark can put the pebbles in the tanks is:

60.

Step-by-step explanation:

Permutations nPr Calculator

P(n,r)=  n!

(n−r)!  = ?

n (objects) = 5

r (sample) =  3

Answer:

P(n,r)=P(5,3)

=  5! /(5−3)!

= 60

The result shows that Mark can put the 5 pebbles in the 3 fish tanks in 60 different ways, if each fish tank must have at least one pebble.  Using the permutation calculator, the number of ways is calculated to be 60 ways.

At the Town Savings Bank, a new customer earns $2,950 in simple interest on a $5,000 deposit over the first 10 years. What rate of interest does that bank pay?

Answers

9514 1404 393

Answer:

  5.9%

Step-by-step explanation:

The interest rate formula is useful:

  I = Prt . . . . interest on amount P at rate r for t years

  2950 = 5000·r·10

  r = 2950/50000 = 0.059 = 5.9%

The bank pays 5.9% interest.

The second of 2 numbers is 4 times the first. Their sum is 50. Find the numbers

Answers

Answer:

12.5 i think

Step-by-step explanation:

What’s the mid point of AB

Answers

Answer:

-2 is the mid point of AB because the line intersect's between that point.

0, -2 is the mid point of AB

What is 2b+578-12? Please be quick I need help

Answers

Answer:

2b+566 (Simplified)

Step-by-step explanation:

2b+578-12

578-12=566

2b+566


I need help please asp

Answers

A c and d is the answer

(−7) ⋅ (−4)
will give thanks

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

- times a - is a positive

What is the solution to x + 23 =90?

Answers

Answer:

67+23=90

Step-by-step explanation:

x = 67

--

When doing equations, you usually have to get x by itself, so in this equation you would take 23, covert it to a negative and subtract it from 90, giving you 67.

2/3 - 4X +7/2 = -9X +5/6

Answers

Answer:

X = - 2/3

Step-by-step explanation:

Answer:

Nvm

Step-by-step explanation:

- 2/3

Jin has 9 markers he has 5 more markers then pencils

Answers

Answer:

If you want to know how many pencils Jin has then

Step-by-step explanation:

9-5=4 so 4 is your answer

9-5 =4


i wasn’t sure what the question was

How can you tell if an equation will have a certain answer?

Answers

Answer:

Check whether the given value is a solution to the equation

Step-by-step explanation:

If the numbers you get from evaluating the two expressions are the same, then the given value is a solution of the equation (makes the equation true). If the numbers don't match, the given value is not a solution of the equation (makes the equation false).

Find the degree measure of a, b, c, d, e, f, g, and h. Explain how you
found each answer.
142°
8 h
a
b
1060
e
130°

Answers

Answer:

were fired up

Step-by-step explanation:

A scam drawing of a rectangle park is 5 inches wide and 7 inches

Answers

Answer:

where is the question

Step-by-step explanation:

If you are asking for area, the answer is 35inches squared.

Area is length times width, so multiply 5 and 7,

Which gives you 35 inches squared

Which of the following is a complex number?
3√7/5+√-9/5

Answers

Answer:

3

Step-by-step explanation:

Find the probability that you will roll an even number exactly 5 times when you:
roll a six-sided number cube 10 times.
P=
roll a six-sided number cube 20 times.
PE
DONE

Answers

You have to show a picture of the worksheet

Anna is ordering t-shirts for a community run. The company Anna is ordering from charges $12 per shirt and a shipping fee of $8. Based on this information, which function can be used to represent the relationship between the total cost, t, and the number of shirts Anna orders, m?
A. t=12m−8
B. t = 8m + 12
C. t = 12m + 8
D. t=8m−12

Answers

Answer:

D. t = 12m + 8

Step-by-step explanation:

This is the correct answer. I took the test.

The linear function that models the situation is:

[tex]t = 12m + 8[/tex]

A linear function is modeled by:

[tex]t(m) = am + b[/tex]

In which:

a is the slope, which is the rate of change per unit m.b is the y-intercept, which is the "fixed" value.

In this problem:

Charge of $12 per shirt, hence [tex]a = 12[/tex].Shipping fee of $8, hence [tex]b = 8[/tex]

Thus, the relationship is modeled by:

[tex]t = 12m + 8[/tex]

A similar problem is given at https://brainly.com/question/18776520

pleaseeee help asap important

Answers

hold on i think i know

32 of 40% is of what number

Answers

Answer:

80

Step-by-step explanation:

40% × ? = 32

? =

32 ÷ 40% =

32 ÷ (40 ÷ 100) =

(100 × 32) ÷ 40 =

3,200 ÷ 40 =

80

The statements are represented by the rational number -6? $6 debt 6°C above 0°C $6 profit 6 feet below sed devel​

Answers

Answer:

6 dollars dept

Step-by-step explanation:

Answer:

what the other person said

Step-by-step explanation:

I NEED HELP ASAP! :D

Answers

Answer:

7:Y axis, down 1 left 5 , 2

8: they are a congruent shape

Step-by-step explanation:

Find angle 1. I’m having trouble on this problem pls help

Answers

Answer:

45

Step-by-step explanation:

[tex]180 - 76 - 59 = 45[/tex]

i think this is the answer

Each chair in the Cut and Style Shop can hold a maximum weight of 450 pounds. A large gentleman walked into the shop. He told his stylist that he weighed 75 pounds less than a quarter of a ton. By how many pounds is the gentleman over or under the maximum weight?

Answers

Answer: under by 25

Step-by-step explanation:

Because first you have to know how much a ton it's than find 1/4 of it. When you find in you subtract 75. After that you subtract your answer from 450

which is greater 1.2+0.07 or 1.019

Answers

Answer:

1.2+0.07 is greater

Step-by-step explanation:

1.27>1.019

Answer:

1.2+0.07

Step-by-step explanation:

1.2 + 0.07 = 1.27

1.27 > 1.019

Pls help I will give Brainlyest John's sister went shopping with him. She expected to
spend $100 on clothes, but spent only $10. John wanted
to help her calculate the percent error, but he thinks he
may have made a mistake. Are his calculations below
correct? Why or why not?
Ratio : $100 - $101. 10
$90
9
11%

Answers

Answer:

John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.

Step-by-step Explanation:

Yes, he applied formula incorrectly.

Given : Expected value =  $100

Actual value = $10

Then,

So, Yes, the calculation did by him was incorrect .

Hope this helped! :)

Answer:

John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.

Step-by-step explanation:

That's the sample response.

The results after simplifying a linear equation are shown.

Which result shows exactly one solution?

A: x=x

B: x=2

C: 1=1

D: 0=1

Answers

Answer:

B. x= 2 is the correct answer

The height, h, in meters, of a projected object over time, t, in seconds, is modeled by a quadratic function. The height of the object is the same after 3 seconds and 7 seconds. Which statement must be true about this situation?


The height of the ball is symmetric about the line .

The height of the ball is the same after 2 second and 6 seconds.

The maximum height of the ball is 5 meters.

The ball reaches the ground after 10 seconds.

Answers

Answer: the height of the ball is symmetric about the line t=5

Step-by-step explanation:

Help APSPPP!!!!!!!!!!!!

Answers

Answer:

114 degrees

Step-by-step explanation:

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