Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+
What is the population being studied in each of the four years?
a. college educated individuals
b. college educated individuals aged 25-29
c. individuals aged 25-29
d. employed individuals aged 25-29
e. employed individuals

Answer:

[tex]for \: independent \: events : \\ P(AUB) = P(A) + P(B) \\ P(AUB) = \frac{2}{3} + \frac{1}{5} \\ = \frac{13}{15} [/tex]

Step-by-step explanation:

P(AUB) is P(A) + P(B) because P(AnB) is zero.

[tex]P(AUB) = P(A) + P(B) - P(A{ \huge{n} }B) \\ P(AUB) = P(A) + P(B) + 0[/tex]

Answer:

4

Step-by-step explanation:

Based on this question, addition means the first number is the brother of the other, subtract means the first number is the sister of the other and multiplying means the first number is the father of the other.

We see 4 is literally multiplying M by N-C, meaning N is the sister of C and M is the father of N and C.

Answer:

2.- 8.0 in.

Step-by-step explanation:

8.1 in

Step-by-step explanation:

A^2+B^2=C^2

49+16= 65

square root of 65≈8.06

round up to 8.1

Answer:

Step-by-step explanation:

Substitute the value for y or x into the equation thats listed with it.

For the first one, substitute 3 in place of y.

3x + 6 y = 60 turns into

3x + 6 * 3 = 60

3x + 18 = 60

3x = 60-18

3x = 42

x = 42/3

x = 14

Apply the same to the other equations

10x + 4y = 70 turns into

10 * 5 + 4y = 70

Then solve for y

9514 1404 393

Answer:

  d.  f(2) < g(2)

Step-by-step explanation:

The attached table and graph shows how the functions relate for the various x-values of interest. The true statement is ...

  f(2) < g(2)

  -3 < 0

Answer:

0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Failed business in the Midwest.

Event B: Chemical industry.

Probability of failed business being in the Mid-West:

7900 out of 63509. So

[tex]P(A) = \frac{7900}{63509}[/tex]

Probability of a failed business being a chemical industry in the Mid-West.

1270 out of 63509. So

[tex]P(A \cap B) = \frac{1270}{63509}[/tex]

What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1270}{63509}}{\frac{7900}{63509}} = \frac{1270}{7900} = 0.1608[/tex]

0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.

Answer:

0.0923 = 9.23% probability that four of the patients are still alive after five years.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which 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.

Po is an oncologist with seven patients in their care.

This means that [tex]n = 7[/tex]

The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.

This means that [tex]p = 0.82[/tex]

What is the probability that four of the patients are still alive after five years?

This is P(X = 4). So

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

[tex]P(X = 4) = C_{7,4}.(0.82)^{4}.(0.18)^{3} = 0.0923[/tex]

0.0923 = 9.23% probability that four of the patients are still alive after five years.

Answer:

Die is not fair given that  Pvalue< 0.05, hence we reject Null hypothesis

a) H0: Die = fair

b) Ha : Die ≠ fair

c) df = 5

Step-by-step explanation:

The expected frequency of every face values = 20

a) state Null hypothesis

H0: Die = fair

b) Alternate Hypothesis

Ha : Die ≠ fair

c) degree of freedom

df = ( n - 1 )

   = ( 6 - 1 ) = 5

n = sample size ( number of faces a die has )

Note : After conducting hypothesis test

Pvalue ≈  0.0026

test statistic ≈ 18.30

Hence we can conclude that die is not fair given that  Pvalue < 0.05, hence we reject Null hypothesis

Answer:

y = -x +3

Step-by-step explanation:

first find the slope

m = (y2-y1) / (x2-x1)

m = (5-1) / (2--2)  = -1

note that it does not matter which points you chose to be second or first

use point-slope equation

y - y1 = m ( x - x1 )

y - 1 = -1 ( x - 2)

y = -x +2 + 1

y = -x +3

please if you find my answer helpful mark it brainiest

Answer:

y=-x+3

Step-by-step explanation:

Gradient(m)= y1-y2÷x1-x2

=1-5÷2-(-2)

=-4÷4

=-1

therefore m= -1

y-y1=m(x-x1)

y-1=-1(x-2)

y=-x+2+1

y=-x+3

Answer:

0.9836

Step-by-step explanation:

Answer:

f(n) = 4n + 16

Step-by-step explanation:

n is the nth number in the sequence

plug in the first 3 to check the rule:

4(1) + 16 = 4 + 16 = 20

4(2) + 16 = 8 + 16 = 24

4(3) + 16 = 12 + 16 = 28

it works

Answer:

let total be U and strawberry be S and.apple be A .

now

n[U]=200

n[S]=56% 0f 200=112

n[A]=44%of 200=88

n[A n S]=30%of 200=60

now

[tex] \bar {A U S}=?[/tex]

we have

n[U]=n[A] +n[B]-n[ A n B]+[tex] \bar{A U S}[/tex]

[tex] \bar{A U S}[/tex]=200-112-88+60=60

option C. 60 is a required answer.

Hope this help!!!

Have a nice day!!!

Answer:

108

Step-by-step explanation:

3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108

The correct option is A.

Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement

We know that,

1 feet is equal to 12 inches.

1 feet = 12 inches.

1 yard = 36 inches.

3 yards = 36 × 3 = 108 inches.

3 yards = 108 inches.

Therefore, 108 inches are there in 3 yards.

Learn more about yard and inches here:

https://brainly.com/question/31327558

#SPJ6

Answer:

D.90

the answer is 90 because it only flips once

Answer:

Step-by-step explanation:

(x+3)(x-9)

multiply x with whole (x-9) and 3 with (x-9)

=x(x-9)+3(x-9)

multiply the brackets

=x^2-9x+3x-27

add or subtract like terms

=x^2-6x-277   is a required answer

Answer:

[tex] {x}^{2} - 6x - 27[/tex]

Step-by-step explanation:

[tex](x + 3) \times (x - 9)[/tex]

[tex]x(x−9)+3(x−9)[/tex]

[tex]x \times x+x(−9)+3(x−9)[/tex]

[tex] {x}^{2} +x(−9)+3x+3(−9)[/tex]

[tex] {x}^{2} −9x+3x−27[/tex]

[tex] {x}^{2} - 6x - 27[/tex]

Answer:

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Conditional probability:

Event A: Leaves on time

Event B: Raining

Probability that the flight will be delayed is 0.08.

So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]

The probability that it will not rain and the flight will leave on time is 0.82.

0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:

[tex]P(A \cap B) = 0.1[/tex]

What is the probability that it is raining if the flight leaves on time?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Answer:

74

Step-by-step explanation:

the lines r parallel and the angle on the same side

Answer:

74°

Step-by-step explanation:

..........................

Answer:

Step-by-step explanation:

the answer is d. -5n - 6 :)

Answer:

1/2 or 2/4 or 8/16 or 16/32....

Step-by-step explanation:

Answer:

perpendicular, negative reciprocal

Step-by-step explanation:

a negative and a positive slope. 1/5 is the opposite of 5

Answer:

90

Step-by-step explanation:

x

−

12

y

=

−

210

=

=

−

210

x

−

6

y

=

90

=

=

90

x

=

=

90

Perimeter = 2(length+breadth)

326= 2(98+b),

breadth= 65 cm

Area of rectangle = l×b = 98×65= 6370cm²

Answer:

A = 25pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25pi

Answer:

Area of circle is 25 π Or 78.5 .

Step-by-step explanation:

We know that

Area of circle = π × r ²

Here,

π = 3.14

r = 5

Substituting the given values in this formula

Area of circle = π × ( 5 ) ²

Area of circle = π × 25

multiplying the values, we get

Area of circle = 25 π Or 78.5

Answer:

[tex]area = \frac{30}{360} \times \pi(17)^{2} \\ =75.66002307395 \\ = 76in ^{2} [/tex]