1. A statistician calculates that 8% of Americans are vegetarians. If the statistician is correct, what is the probability that the proportion of vegetarians in a sample of 569 Americans would be greater than 9%?2.The mean points obtained in an aptitude examination is 166 points with a standard deviation of 19 points. What is the probability that the mean of the sample would differ from the population mean by less than 1.1 points if 66 exams are sampled?

Answers

Answer 1

Answer:

1) the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902

2) the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616

p( /x" - u/ < 0.47 ) = 0.3616

Step-by-step explanation:

1)

Given that;

p = 8% = 0.08 and n = 569

what is the probability that the proportion of vegetarians in a sample of 569 Americans would be greater than 9% (0.09)

that is;

p( p" > 0.09) = ?

p( p" > 0.09) = p( z > [(0.09 - 0.08)/(√((0.08(1 - 0.08))/569))] )

= p( z > (0.01 / 0.0114))

= p ( z > 0.8772)

= 0.1902

Therefore the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902

2)

Given that;

mean points obtained in an aptitude examination u = 166

standard deviation α = 19

sample size n = 66

x" - u = 1.1

first we say

x-score = (x" - u) / (α/√n) = 1.1 / (19/√66) = 1.1 / 2.3387 = 0.47

p( -0.47 < z < 0.47 )

= p( z < 0.47) - p( z < - 0.47)

= 0.6808 - 0.3192

= 0.3616

Therefore the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616

p( /x" - u/ < 0.47 ) = 0.3616


Related Questions

8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?

Answers

Answer:

14

Step-by-step explanation:

i got it right and you can tell that they are almost the same size.

How do you do this question?

Answers

Answer:

-1

Step-by-step explanation:

dy/dt = y² − 1 = (y + 1) (y − 1)

At t = 0, y = 0, and dy/dt = -1.  Therefore, y is initially decreasing.

As y decreases, dy/dt increases.  When y = -1, dy/dt = 0 and changes signs from negative to positive.

As y increases above -1, dy/dt again becomes negative.  So y continues to approach -1 as t approaches infinity.

Each bottle of perfume contains 2.1 fluid ounces of perfume. The store sells 30 bottles. How many fluid ounces of perfume did the store sell in total

Answers

Answer:

63

Step-by-step explanation:

Answer:

Step-by-step explanation:so did u pass the edulastic test

how do I know how many extraneous solutions there is

Answers

Answer:

how do u know how many extraneous solutions there is?

Step-by-step explanation:

To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes.

Answer: To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes

Step-by-step explanation:

Please can I have brainliest I need one more to rank up

Find the percent as a fraction. Simplify if possible.

33 1/3%

Answers

Answer:

The answer would be 100/3

Step-by-step explanation:

Answer: 33 1/3% as a fraction is 1/3. It cannot be simplified. Hope this helps!

How many lines of symmetry does this figure have?
[Note: The black ball is part of the figure.]
A) 0
B) 1
C) 5
D) 10

Answers

Answer:

The answer is B) 1

Step-by-step explanation:

balls

which statements are true select all that apply. Extra points!!! ​

Answers

1 is false
2 is true
3. is false
4. is true


1 & 3 are false
2 & 4 are true

There is 2 parts. but , help​

Answers

Answer: B

Step-by-step explanation:

the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false

Answers

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

A DJ charges a setup fee plus an hourly fee to provide music for a dance party. Which equation best represents the amount spent, y, on x hours of music. *
13 points
Captionless Image
y = 0.5x
y = 0.5x + 100
y = 25x + 100
y = 100x + 25

Answers

Answer:

Its c i did it for quizzez and also because the graph goes up 25 every hour

Step-by-step explanation:

The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A DJ charges a setup fee plus an hourly fee to provide music for a dance party.

We know that the amount per hour is generally one-fourth of the number of setup feet. Let 'x' be the number of hours and 'y' be the total amount. Then the equation is given as,

y = 25x + 100

The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ6

A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.

Answers

Answer:

I'm gonna get more people here

Answer:

50 hz  yw pplz

Step-by-step explanation:

Mike can stitch 7 shirts in 42 hours how long will it take to stitch 1 shirt

Answers

Answer:

42/7 is 6 so it would take Mike 6 hours to stich 1 shirt please give brainliest

Step-by-step explanation:

Read the sentence from Nikita's analysis of "The Children of the Drug Wars." Nazario feels that refugee kids totally shouldn't be sent back to the same dangerous things they've left. This sentence should be revised to make it more accurate. formal. logical. objective.

Answers

Answer:

The answer is B formal

Answer:

B on edge 2021

Step-by-step explanation:

Helppppo!!!!
Jzjsjsjssjskksksksksksksk
Jsjsjsjss
Jajajaj
Jajajaj
Pleaseee

Answers

Answer:A: yes, f and g are both concave down

B: yes, f and g are both concave up

C: no, f is concave up and g is concave down

D : no, f is concave down and g is concave up

Step-by-step explanation:

An insurance company has written 100 policies for $75,000, 500 policies for $25,000, and 1000 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0015, how much can the company expect to pay out during the year the policies were written? The company can expect to pay out _____ $ over the year after the policies were written.

Answers

Answer:

The company can expect to pay out $45,000 over the year after the policies were written.

Step-by-step explanation:

This can be determined as follows:

The probability that a person will die at age 20 = 0.0015

Revenue from 100 policies = 100 * $75,000 = $7,500,000

Revenue from 500 policies = 500 * $25,000 = $12,500,000

Revenue from 1000 policies = 1000 * $10,000 = $10,000,000

Total revenue from all policies = Revenue from 100 policies + Revenue from 500 policies + Revenue from 1000 policies = $7,500,000 + $12,500,000 + $10,000,000 = $30,000,000

Expected amount to pay out during the year the policies were written = Total revenue from all policies * The probability that a person will die at age 20 = $30,000,000 * 0.0015 = $45,000

Therefore, the company can expect to pay out $45,000 over the year after the policies were written.

A board measures 15 meters in length and is cut into two pieces. One-piece measures 7 meters. Write an equation to find the length of the other piece?
Pls help

Answers

Answer:  7.2 + L= 19.5

The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?

Answers

Answer:

Step-by-step explanation:Let our two numbers be  a  and  b . Then we can see that  a+b=8  and  ab=15 . Now consider

(a+b)3=a3+3a2b+3ab2+b3  by the binomial expansion. Now we have all the information to solve this, observe since  a+b=8  and  ab=15 . We have

(8)3=a3+3ab(a)+3ab(b)+b3  

a3+b3+3ab(a)+3ab(b)=83  

a3+b3+3ab(a+b)=83  

a3+b3=83−3ab(a+b)  

a3+b3=83−3(15)(8)=512−360=152  

You can also observe that  3  and  5  fulfill those conditions so, then  33+53=27+125=152 . Which is our result.

Will the solution to the following equation be positive or negative? b ÷ -2 = 5 positive negative

Answers

Answer:

I think that it is negative

Step-by-step explanation:

Six plus five times a number is more than the
number plus eight. Write an inequality and
solve it.

Answers

Answer:

x > 0.5

Step-by-step explanation:

Let the number be x.

6 + 5x > x + 8

4x > 2

x > 0.5

This is a question on inequalities. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Solve the system of equations by any method.



5x+9y =16
x+2y =4

Answers

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]

Therefore, our system now becomes:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]

Now, we can add these two equations together and solve for y.

[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]

Now, we can substitute our value for y into one of the equations and solve for x.

[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]

Therefore, our final solution is (-4, 4).

2y/5-y/4=-3 what is the common denominator

Answers

Answer:

20

Step-by-step explanation:

what is order of operations for 20-5x2+6

Answers

Answer:

multiply, add, then subtract so your answer should be 4

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

(please excuse my dear aunt sally)

Write these following fractions in order from greatest to least

1/9
1/2
1/8

Answers

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[tex] \frac{1}{9} = \frac{1 \times 8}{9 \times 8} = \frac{8}{72} \\ [/tex]

[tex] \frac{1}{2} = \frac{1 \times 36}{2 \times 36} = \frac{36}{72} \\ [/tex]

[tex] \frac{1}{8} = \frac{1 \times 9}{8 \times 9} = \frac{9}{72} \\ [/tex]

_________________________________

[tex] \frac{8}{72} < \frac{9}{72} < \frac{36}{72} \\ [/tex]

[tex] \frac{1}{9} < \frac{1}{8} < \frac{1}{2} \\ [/tex]

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Thus the order from greatest to least is :

[tex] \frac{1}{2} \: , \: \frac{1}{8} \: , \: \frac{1}{9} \\ [/tex]

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A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.

Answers

Answer:

unit price for 11.3-ounce package = $0.25

unit price for 27.8-ounce package =  $0.23

27.8-ounce package is the better buy

Step-by-step explanation:

An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.

a) 11.3-ounce package

11.3 ounces = $2.88

1 ounce = $2.88 ÷ 11.3

1 ounce = $0.25

b) 27.8-ounce package

27.8 ounces = $6.48

1 ounce = $6.48 ÷ 27.8

1 ounce = $0.23

$0.25 > $0.23


A submarine started at the
surface of the water and was moving underwater at
22 feet per minute toward the ocean floor. The submarine traveled at this rate
for 75 minutes before coming to rest on the ocean floor. Which of the following
integers represent the depth of the ocean floor in feet?

Answers

Answer:

1650

Step-by-step explanation:

75x22+1650

Equa
Problem 1
3z - 4 = 52 - 12

Answers

Answer:

z=44/3

Step-by-step

Subtract the numbers 52-12=40

3z-4=40

Add 4 to both sides

3z-4+4=40+4

SImplify

3z=44

Divide both sides by 3

3z/3 = 44/3

z=44/3 or decimal form= 14.66

4. A county clerk has a given amount of money to budget for cultural events. Cultural Events
based on the scattplot, what does the point(0,18)represent?
A.the total amount of the budget givin to the country
B.
the total amount of the budget spent after 18months
C.the average amount spend out of the budget each month
D.the predicted amount of time after which the entire budget will be spent​

Answers

Step-by-step explanation:

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An ant starts walking along a parabola, y(x)=x^2 starting from the point where x=3 He walks until a point where x=3+a where a is a positive number. What is the y-coordinate of the point that he is at now?
plz no bs answers

Answers

Answer:

the y co-ordinate > 9

Step-by-step explanation:

I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!

Hope this helps!

what ratio is equavelent to 5:4

Answers

Answer:

the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Step-by-step explanation:

the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

What is 12 equivalent tp

Answers

12 is equivalent to 24/2, 36/3, 144/12
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