According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level. If 100 such adults are selected at random, determine the probability that the number who have ahigh school degree as their highest educational level is a. Exactly 32

Answers

Answer 1

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that [tex]p = 0.304[/tex]

100 such adults

This means that [tex]n = 100[/tex]

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

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

[tex]P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803[/tex]

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.


Related Questions

Rico plots point K at (Negative 2 and one-half, 4 and one-half). Which graph shows the location of point K?
On a coordinate plane, point K is 2.5 units to the right and 4.5 units down.
On a coordinate plane, point K is 2 units to the right and 4 units up.
On a coordinate plane, point K is 2.5 units to the left and 4.5 units up.
On a coordinate plane, point K is 2.5 units to the right and 4.5 units up.
Mark this and return

Answers

Answer:

The 3rd answer on the graph

Step-by-step explanation:

On EDGE 2021

Answer:

c

Step-by-step explanation:

the answer would be c

For soccer season, Cameron wants to buy a new soccer ball, a pair of shorts, and a pair of soccer shoes. The ball costs $4.95, the shorts cost $9.10, and the shoes cost $5.50. Cameron has $2.30. How much more money does Cameron need?

Answers

Add the three items he wants to buy:

4.95 + 9.10 + 5.50 = 19.55

Subtract how much he has already:

19.55 - 2.30 = 17.25

He needs $17.25 more

In Joe's fish tank, there are 5 goldfish and 9 snails. How does the ratio 9:14 describe Joe's fish tank?


The ratio 9:14 compares the number of goldfish to the total number of animals.


B.

The ratio 9:14 compares the number of goldfish to the number of snails.


C.

The ratio 9:14 compares the number of snails to the total number of animals.


D.

The ratio 9:14 compares the number of snails to the number of goldfish

Answers

the answer is C, number of snails to the total number of animals

Compare using benchmark fractions or 1. Then choose Yes or No to tell if the comparison is correct.
1/3 > 1/6 Choose... (Yes or No)
4/3 > 8/6 Choose... (Yes or No)
6/5 > 5/6 Choose... (Yes or No)
3/8 < 1/4 Choose... (Yes or No)
Please answer the question quickly if the answer is known.
Thank you!

Answers

The comparison of the above fractions are correctly listed below:

1/3 > 1/6 = yes

4/3 > 8/6= No

6/5 > 5/6 = Yes

3/8 < 1/4 = No

What is a fraction

A fraction is defined as the part of a whole value which is represented as a numerator and a denominator form.

1/3 is greater than 1/6 because 1/3 = 0.3 which is greater than 1/6 = 0.2

4/3 is not greater than 8/6 because 4/3 = 1.3 which is equivalent to 8/6 = 1.3.

6/5 is greater than 5/6 because 6/5 = 1.2 which is greater than 5/6 = 0.8

3/8 is not less than 1/4 because 3/8 = 0.4 which is greater than 1/4 = 0.3.

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Find the missing the terms of the arithmetic sequence

Answers

Answer:

1.7

Step-by-step explanation:

2.3, 3.1, 1.9, 1.7, 1.5 (-0.2)

A train moving at 40km/h applies brakes so that there is a constant 0.5m/s².find the time taken before the train stops. ​

Answers

Answer:

t = 22.22 s

Step-by-step explanation:

Given that,

The initial speed of the train, u = 40 km/h

Acceleration of the train, a = 0.5 m/s²

Finally, it stops, v = 0

We need to find the time taken by it to stop. using first equation of motion to find it such that,

[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{0-40\times \dfrac{5}{18}}{-0.5}\\\\t=22.22\ s[/tex]

So, it will take 22.22 seconds to stop.

please answer thanks

Answers

Answer:

10

Step-by-step explanation:

it's kinda hard to explain

For which set of data is the mode the BEST measure of central tendency?

A) 3, 11, 20, 14, 20
B) 10, 13, 10, 25, 16
C) 12, 10, 13, 25, 12
D) 14, 10, 12, 14, 3

Answers

Answer: C

Step-by-step explanation:

i took the quiz

Somebody please help me!!!

Answers

pretty sure it would be -2,-4 not 100% sure tho

D
9
CD = [?]
A 3 B 3 C
Enter the number that belongs in
the green box.
Enter

Answers

Answer:

hi

Step-by-step explanation:

i think it is probably 9

hope it helps

A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?

Find the t-table here.

(4.396, 8.104)
(4.865, 7.635)
(5.097, 7.404)
(5.245, 7.256)

Answers

Answer:

(5.097, 7.404)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6849

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.6849\frac{4.33}{\sqrt{40}} = 1.154[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6.25 - 1.154 = 5.096 hours

The upper end of the interval is the sample mean added to M. So it is 6.25 + 1.154 = 7.404 hours.

The answer is  (5.097, 7.404)

help me dont put link when answering question

Answers

Answer:

b

Step-by-step explanation:

Which of these is a finite population?

Select one:
a. The number of salads served at McDonalds.
b. The number of grains of sand in a 10 lb bag of sandbox sand.
c. The number of light bulbs produced one day in a factory
d. The number of seeds inside the tomatoes produced in a nursery.

Answers

The best answer to go with is b

Does anyone know what the answer please??

Answers

Answer:

x=4

Step-by-step explanation:

im pretty sure you make the equation equal to eachother so its 9x+4=5x+20

combine like terms

4x=16

x=1/4

f(x)=4x+2;g(x)=2x ; find f(g(4))​

Answers

Answer:

f(g(4))​=34

Step-by-step explanation:

g(x)=2x

g(4)=2(4)

      =8

f(x)=4x+2

f(8)=4(8)+2

    =32+2

    =34

f(g(4))​=34

pls help giving brainless. no link!!!!​

Answers

Answer:

5

Step-by-step explanation:

Count it up 1 on the bottom 4 on the sides

Give me Brainllest

Answer:

5

Step-by-step explanation:

It looks confusing, but if you really pay attention it is a triangular prism

hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllpppppppppppppppp please this the last question so I could get a b

Answers

Answer:

What is your question so I can answer it directly okay

Given the lease terms below, what is the total price of this car if you buy it
after leasing, and you do not get the security deposit back?
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
• Down payment: $1500
• Monthly payment: $279
• Security deposit: $350
Acquisition fee: $700

Answers

Answer:

I believe the answer is 12,342 try it out and let me know:)

Step-by-step explanation:

12,342 I think..........

diameter 32 inches what is the raidus

Answers

Radius equals to diameter dived by 2

Joy has an evenly divided spinner with one of the letters A through E in each section. She also has a number cube with one of the numbers 1 through 6 on each side
E AA
D B
What is the probability of rolling a 5 and spinning a B?
11
30
1
11
5
6
1
30

Answers

Answer: 1/30

Step-by-step explanation:

67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.​

Answers

67,124 x 3/4 = 50,343

The product is less than 67,124 because three fourths is less than one whole. One whole quantity of 67,124.

Katie uses the equation y = 30x + 70 to model the data.what is the meaning of the slope of the linear model

Answers

Answer:

Step-by-step explanation:

Fin i the slope of a line joining
the
points (4,5)and(7,8)​

Answers

Answer: The slope of a line joining the points (4,5) and (7,8) is 3/3, or 1.

Step-by-step explanation:

Please see the answer above, hope this helped. :)

Find the derivative of f(x) = -12x2 + 9x at x = 6.
a) -112.5
b)-135
c)90
d)108

Answers

hi

f(x) = -12x²+9x

So

f'(x) =  -24x +9

if  x = 6   then  f'(6) = -24 (6) +9 = -135

The rare tweety-birds are decreasing at a rate proportional to the
amount present. On January 1st there are 10,000 tweety-birds.
Fifteen days later, there are only 9,000.
(Problem la, 3 points)
Write a formula for the total amount of birds.

Answers

10,000+15x=9000 is the answer

What is the function as to how it’s graph is related to the parent function f(x)=3squared

Answers

I have to go to the gym and I have to go to the gym and I have to go to the gym and I have to go to the gym and I have to go to the gym and I

what is equivalent to 5:2

Answers

Answer:

2.5:1 or 2.5

Step-by-step explanation:

5/2 ÷ 2 would give you 2.5/1 or 2.5

Someone out here know the answer?

Answers

Answer:

k = -5

Step-by-step explanation:

f(9) = 2/3*9 +k

f(9) = 6+k

k = -5

Write an expression showing a÷(b+2) as a fraction?

Answers

a
———
b + 2

(It would be “a” over “b + 2.”)

Find the total area of the polygon shape shown below. All measurements are given in inches. Enter only the number. The total area is blank square inches.

Answers

The total area is 45 square inches.

Area of Compound Shapes

This question requires your knowledge about the area of compound shapes. For solving this, you should:

Identify the basic shapes;Calculate your individual areas; Sum each area found.

      STEP 1 - Identify the basic shapes.

The figure is composed of:

two squares whose sides are equal  to  3 in. 1 rectangle whose sides are: 9 in and 3 in

Therefore, you should sum the area of these geometric figures for determining the given  area.

   STEP 2 - Find the area of the squares.

Area of each square =  a², where a=the length of the side.

Like, the length of the side is equal to 3 in, the area will be:

A_square= 3²=9 in².

You have two squares in the figure. Then, the total area for the squares is 9 + 9 =18 in²

      STEP 3 - Find the area of the rectangle.

Area of the rectangle = bh . The figure shows that:  the base = 9 in and the 3=8 in

Thus,  A_rectangle=bh= 9*3=27in²

      STEP 4 - Find an expression for the total area of the figure.

A_total= A_squares+ A_rectangle

A_total= 18+27=45 in²

A_total= 45in²

Learn more about the area of compound shapes here:

brainly.com/question/15884960

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