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:

Step-by-step explanation:

Mean μ = 36

standard deviation σ = 10

n = 16

standard deviation of the group σ₁ = σ / √n

σ₁ = 10/ √16

= 10 / 4 = 2.5

σ₁  = 2.5

P ( x > 35 ) = 1 - P ( x < 35 )

P ( x < 35 ) = P( z < (35 - 36) / 2.5 ) = P( z < (35 - 36) / 2.5 )

= P( z < 0.4  )

= .3446

P ( x > 35 ) = 1 - .3446

= .6554 .


Related Questions

what is the value of the expression below ​

Answers

Answer: 18.9 or 18 9/10

4/5 + 3/5 = 7/5

3.5 x 5 = 17.5

7/5 + 17.5

18.9 = 18 9/10

Answer:

decimal form: 18.9       Fraction Form: 18 9/10

Step-by-step explanation:

(4/5+3/5)+3.5 x 5=18.9

Add Parenthesis= 4/5 + 3/5 = 7/5

Put the numbers back together= 7/5 + 3.5 x 5

Turn the fraction into a decimal form: 7/5=1.4

Put the number back together= 1.4+3.5 x 5

Now you have to do PEMDAS: meaning you have to multiply first

3.5 x 5 = 17.5

Put the problems back together= 17.5+1.4=18.9

*The 9 has a number 10 on the bottom because it is the denominator.

Examples*1/10    10/100

Consider the two planes.

Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.

In the diagram, the only figure that could be parallel to line c is

line a.
line b.
line d.
plane Q.

Answers

Answer:

line d.

Step-by-step explanation:

Answer:

C) line d

Step-by-step explanation:

just took the quiz on edge 2020

help help help help help

Answers

Answer:

X=28 and <EBC= 62º

Step-by-step explanation:

2x+6+x=90

3x+6=90

3x+6-6=90-6

3x=90

3x/3=90/3

x=28

90-28=62

or

2(28)+6

56+6

<EBC= 62

The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.4. What is the probability that no more than a fourth of the entry forms will include an order

Answers

0.1998 is the probability that no more than 4 of the entry forms will include an order.

Given the following information:

Treat subscription order with an entry form as a success.

P(subscription order with an entry form) = 0.4

Then the number subscription order with an entry form follows a binomial distribution, where

[tex]P(X = x) = nC_xp^x(1-p)^{n-x}[/tex]

where n is the total number of observations, x is the number of success, p is the probability of success.

Here, n = 16

[tex]P (x \leq 4) = P(x = 0) + P (x = 1) + P(x = 2) + P(x = 3)[/tex]

= [tex]16C_00.4^0(1-0.4)^{16} + 16C_10.4^1(1-0.4)^{15} + 16C_20.4^2(1-0.4)^{14}+ 16C_30.4^3(1-0.4)^{13}[/tex]

= 0.00028 + 0.0030 + 0.150 + 0.0468

= 0.1998

0.1998 is the probability that no more than 4 of the entry forms will include an order.

Know more about binomial distribution,

https://brainly.com/question/14524588

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A 9-meter by 11-meter rectangular garden has a one-meter wide walking path all around it (outside the garden). What is the area of the walking path?

Answers

45 sq meters

Width - 9 meters
Width with path - 11 meters ( 1 meter each side)

Length - 11 meters
Length with path - 13 meter

Area without path - 9 * 11 = 99
Area with path - 13 * 11 = 144

Subtract area without from area with

144 - 99 = 45 sq meters

At a carnival, Boris bought 14 packs of 9 tickets each. He also found 7 more tickets on the ground. How many tickets did Boris have in all?

Answers

multiply # of packs by # of tickets in each pack).
Then if he finds 7 more...ADD those to the previous count.
14 x 9 = 126
126 + 7 = 133
The answer is 133 .

−3(4r − 8) = −36 What is happening to my variable?(In order)

Answers

Answer:

r = 5

Step-by-step explanation:

-12r + 24 = -36

-12r = -36 - 24

12r = 60

r = 5

Hope this helps!

Have a nice day!

If you find this helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Square Root of 105

I need estimation & Process

I do not want 10.246950766 I need the Estimation of it

Answers

Answer:

10.25 (4 significant figures)

10.2 (3 significant figures)

hope this helps. :)

pls I rly need help LOOL

Answers

Answer:

90mph

Step-by-step explanation:

15 times 6, will u answer my question on my page

What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes.

Answers

Answer:

x=3 or -3

Step-by-step explanation:

hope it helps

2) The perimeter of a rectangle is 52 feet.
The length and width are represented by
two consecutive even integers. Find the
dimensions of the rectangle .

Answers

Answer:

12 feet and 14 feet

Step-by-step explanation:

Let a and b be the length and width of a rectangle

a and b are consecutive even integers

a=x, b=x+2

perimeter=52

2*(a+b)=52

2*(x+x+2)=52

2x+2=26

2x=24

x=12

a=12

b=x+2=14

Answer:

dimensions of the rectangle are 12 ft by 14 ft

Step-by-step explanation:

Let's name our unknowns :

width = x and therefore, the length according to the information given will be of size x + 2 (consecutive even integer).

Then the perimeter (addition of all four sides of the rectangle) will be the sum:

x + (x + 2) + x + (x + 2) = 52

combining like terms:

4 x + 4 = 52

subtracting 4 on both sides

4 x  = 52 - 4

4 x = 48

x = 48 / 4

x = 12

so the width is 12 feet and the length must be 2 feet larger, that is: 14 feet

Then the dimensions of the rectangle are 12 ft by 14 ft.

The scores on a psychology exam were normally distributed with a mean of and a standard deviation of . About what percentage of scores were less than . The percentage of scores that were less than was

Answers

Complete Question

The scores on a psychology exam were normally distributed with a mean of 59 and a standard deviation of 6. About what percentage of sores were less than 53. The percentage of scores that were less than 53 was %. (Type an integer or a decimal.

Answer:

The value is [tex]P(X < 53) = 0.15866[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 59[/tex]

    The standard deviation is [tex]\sigma = 6[/tex]

Generally the percentage that were less than 53 is mathematically represented as

       [tex]P(X < 53) = P(\frac{X - \mu }{\sigma } < \frac{ 53 - 59 }{ 6 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>    [tex]P(X < 53) = P(Z < -1 )[/tex]

Generally the probability of (Z <  -1  ) is  

         [tex]P(Z < -1 ) = 0.15866[/tex]

=>        [tex]P(X < 53) = 0.15866[/tex]

Change the way to my dog dog and I can

Answers

I’m not being rude but.. what?
BARK BARK BARK ARF ARF

What is negative 4 and 4 twenty fifths as a decimal?

Answers

Answer:

Negative 4.16 will be the answer

Your answer is -4.16

is -57.25 a rational number

Answers

no it is not a rational number

Traveling between two campuses of a university in a city via shuttle bus​ takes, on​ average, 28 minutes with a standard deviation of 5 minutes. In a given​ week, a bus transported passengers 100 times. The probability that the average transport time was bigger than 27 minutes is

Answers

Answer: 0.9772

Step-by-step explanation:

Let X be a random variable that represents the transport time .

We assume X is normally distributed with a mean [tex]\mu=28\text{ minutes}[/tex] and a standard deviation [tex]\sigma=5\text{ minutes}[/tex].

Sample size : n= 100

The probability that the average transport time was bigger than 27 minutes:

[tex]P(\overline{X}>27)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{27-28}{\dfrac{5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-1}{\dfrac{5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>-2)=P(Z<2)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.9772\ \ \ [\text{By p-value table}][/tex]

Hence, the required probability =0.9772

This problem Involves empirical probability. The table shows the breakdown of 87 thousand Single parents on active duty In the U S. military In a certain year. All numbers are In thousands and rounded to the nearest thousand. Use the data In the table to find the probability that a randomly selected single parent in the U S. military IS In the Army.

Army Navy Marine Corps Air force Total
Male 27 22 4 11 64
Female 11 7 1 4 23
Total 38 29 5 15 87

The probability that a randomly selected single parent in the U S military is In the Army is:_______

A certain lottery consists of selecting five different numbered balls from numbered 1 to 16 white balls and one from 1 to 12 gold Mega balls. A player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 16​) and matching the number on the gold Mega Ball​ (1 through 12​). What is the probability of winning the​ jackpot?

The probability of winning the Jackpot is:______

Answers

Answer:

1.) 38/87

2.) 1 / 56784

Step-by-step explanation:

Given the data :

_____Army_Navy_ MarineCorps_ Air force_ Tot

Male__ 27___ 22____ 4________11 ______64

Female 11____ 7 _____1 _______ 4 ______23

Total _ 38___ 29____ 5_______ 15 ______87

The probability that a randomly selected single parent in the U S military is In the Army is:_______

P = number of required outcome/ Total possible outcomes

P(single parent) :

Number of required outcomes = (number of single parents in the army = 38000

Total number of single parents in the military = 87000

P(single parent in army) = 38000 / 87000 = 38/87

B) To Win Jackpot:

16C5

Using the combination formula:

n! / (n-r)!r!

Using calculator :

16C5 = 4368

Winning number set = 1

Probability of winning number set = 1 / 4368

Probability of picking a correct (1) gold mega ball

Number of gold mega balls = 13

= 1/13

1/4368 * 1/ 13 = 1 / 56784

A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog.

, 52, 24, 5, 72, 49, 529
Find the range of the data set.

Answers

[tex]range=524.[/tex]

Step-by-step explanation:

[tex]range \: is : max - min \\ the \: range \: is \: : 529 - 5 = 524. \\ regards \\ ♨Rage♨[/tex]

The range of the given data set comes to be 524.

The given data set is: 52, 24, 5, 72, 49, 529

What is the range of a data set?

The range of a data set is the difference between the maximum and minimum value of that data set.

The maximum value of the given data set = 529

The minimum value of the given data set = 5

The difference between the maximum and minimum value of that data set=529-5 =524

So, the range of the data set =524

Therefore, the range of the given data set comes to be 524.

To get more about range visit:

https://brainly.com/question/8486248

What is elevation of tammys house
L

Answers

You need to show the question o-o

0.6667 into a fraction?

Answers

Your final answer will round out to 2/3 in the end

On average, Claire drinks į of an 12-ounce glass of water in 24 hours. How many
glasses of water does she drink in one hour? Enter your answer as a whole number,
proper fraction, or mixed number in simplest form.
Help me please Brainliest to you

Answers

Answer:

1/2

Step-by-step explanation:

12÷24 = 0.5 = 1/2

Flying against the jetstream, a plane travels 3,132 miles in 9 hours. The same plane flying with the jetstream travels 1.5 times the distance it traveled going against the jetstream. If the plane travels 435 miles per hour, what is the speed of the jetstream?

Answers

Answer: 87

Step-by-step explanation:

3,132/9 = 348

348x1.5 = 522

522-435 = 87

i think?

Which of the following are partial products for 43 × 17? Choose all that apply. A. 3 B. 21 C. 28 D. 40 E. 400

Answers

Answer:

B. 21

E. 400

Step-by-step explanation:

Partial product of two digits number is the multiplication of the sum of place values of digits.

43 × 17

= (40 + 3) × (10 + 7)

To remove the parenthesis

= 40 × 10 + 40 × 7 + 3 × 10 + 3 × 7

Multiplying each pair separately

40 × 10 = 400

40 ×7 = 280

3 × 10 = 30

3 × 7 = 21

The partial product of 43 × 17 is

400 + 280 + 30 + 21 = 731

43 × 17 = 731

The answer is

B. 21

E. 400

Answer:

Step-by-step explanation:

e.400

Question 2 of 5

Select the story problem that this division problem represents.

3

4

1

5

A. A mosaic has an area of square foot and a width of foot.

What is the length of the mosaic?

B. A piece of wrapping paper is yard wide and yard long. What is

the area of the wrapping paper?

C. The area of a wetland is į square mile, and it is mile in length.

How wide is the wetland?

D. A whiteboard is meter long and has an area of 1 square meter.

How wide is the whiteboard?

Answers

ITS B! i did the test and it was right

Step-by-step explanation:

I'm giving away a free brainliest to the hardest question ever (or just a question I don't know the answer to). I do Kumon so I'm pretty good at math (forgot to mention it has to be a math question) so good luck! Instead of typing questions in the chat, please type the question by answering this. :) Have fun! and good luck!

Answers

Answer:

Step-by-step explanation:[tex]8000000^{9090}[/tex] +98989898989

(If you don't think this is legit, just search up Chinese math question)

If a ship had 26 sheep and 10 goats onboard, how old is the ship's captain?

To answer this question correctly would truly be an accomplishment.

Hope this helps, if not, comment down below please!!!

(cast your answer down below pls)

:L

A student is told that her score on an exam is at the 50th percentile of the distribution of scores. This means that:

Answers

Answer:

It means her score is the median of the distribution of score for that examination  

Step-by-step explanation:

Basically 50th percentile of a distribution is the median of a distribution hence from question given that the student score falls on the 50th percentile of the distribution it mean that her score is the median of the  distribution of score for that examination  

Which of the following statements are true of the Tips feature of QuickBooks Online?

Setting up Tips always creates an income type account for tips that are recorded to post to

Setting up Tips always creates a liabilities type account for tips that are recorded to post to

The type of account tips post to depends on whether the tips are distributed to a team or just to the business owner

Tips can only be distributed via paychecks to team members

Tips functionality cannot be turned off

Tips functionality can be turned off

Answers

Answer:

B is The correct answer

B is the correct answer

PLZZZZZZZZZZZZZZ HURRYYY ..The graph represents the serving sizes of chow mein at a local restaurant. Which of these describes the unit rate? *
A: (5, 1250) where 1250 is the unit rate
B: (3, 750) where 3 is the unit rate
C: (1, 250) where 250 is the unit rate
D: (7, 1750) where 7 is the unit rate

Answers

Answer:

C. (1, 250) where 250 is the unit rate

Step-by-step explanation:

As you can see on the graph, the points keep going up by 250 serving sizes(grams). You also know that this is the unit rate, since the x-coordinate is 1.

Hope this helps! Love your profile pic by the way! :)


Find the value of x.
f(x) = 10^x; f(x) = 10^-3

4
-3
3
-4

Answers

Answer:

x=-3

Step-by-step explanation:

Given, f(x) = 10^-3 and f(x)=10^x

Compare the equations

10^-3=10^x

So, x=-3

can anyone please help me solve this

Answers

Answer:

20+n=120

Step-by-step explanation:

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