who knows the answer to this????

Answer:

1) D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Step-by-step explanation:

Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president

Given that;

P(D) = 0.23

P(R) = 0.64

Conditional P(D | R) =  0.35

1) Are R and D independent events?

we know that two events A & B are independent events if; P(B | A) = P(B)

here, P(D | R) =  0.35 and P(D) = 0.23

so; P(D | R) ≠ P(D)

Therefore D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020;

we know that;

P(D | R) = P(D ∩ R) / P(R)

we substitute

0.35 = P(D ∩ R) / 0.64

P(D ∩ R) = 0.35 × 0.64

P(D ∩ R)  = 0.224

Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?

P(R | D) = P(D ∩ R) / P(D)

we substitute

P(R | D) = 0.224 / 0.23

P(R | D) = 0.9739

Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both

P(D ∪ R) = P(D) + P(R) - P(D ∩ R)

we subtitute

P(D ∪ R) = 0.23 + 0.64 - 0.224

P(D ∪ R)  = 0.646

Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Answer:

1. It is not appropriate to use the normal curve, since np = 7.4 < 10.

2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Step-by-step explanation:

Binomial approximation to the normal:

The binomial approximation to the normal can be used if:

np >= 10 and n(1-p) >= 10

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.

This means, respectively, that [tex]p = 0.2, n = 37[/tex]

Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?

np = 37*0.2 = 7.4 < 10

So not appropriate.

It is not appropriate to use the normal curve, since np = 7.4 < 10.

Part 2:

Now n = 82, 82*0.2 = 16.4 > 10, so ok

Mean and standard deviation:

By the Central Limit Theorem,

Mean [tex]\mu = p = 0.2[/tex]

Standard deviation [tex]s = \sqrt{\frac{0.2*0.8}{82}} = 0.0442[/tex]

Find the probability that more than 32% of the people in this sample have high blood pressure.

This probability is 1 subtracted by the pvalue of Z when X = 0.32. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.32 - 0.2}{0.0442][/tex]

[tex]Z = 2.72[/tex]

[tex]Z = 2.72[/tex] has a pvalue of 0.9967.

1 - 0.9967 = 0.0033

The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Answer:

The answer is D- A(x)=25+10x

Step-by-step explanation:

I cant really explain how i got the answer but i got it right

The function A(x) has greater value then F(x) for x = 2.5.

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one.

Given are two functions of [x] as follows -

F(x) = 80 - 15x

A(x) = 25 + 10x

We have the following functions -

F(x) = 80 - 15x

A(x) = 25 + 10x

Now, we will evaluate each function at x = 2.5.

F(2.5) = 80 - 15 x 2.5 = 42.5

and

A(2.5) = 25 + 10 x 2.5 = 50

It can be seen that A(2.5) > F(2.5)

So, the function A(x) has greater value then F(x) at x = 2.5

Therefore, the function A(x) has greater value then F(x) for x = 2.5.

To solve more questions on Evaluating functions, visit the link below-

https://brainly.com/question/24971874

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Answer:

0.75 is greater

Step-by-step explanation:

1/4=0,25 and 0.75  is greater than 0,25

Answer: $1166.91

Step-by-step explanation:

The following can be deduced from the question:

Average cost of an accident = $14,886.05

Probability of a driver getting into an accident = 7.1% = 7.1/100 = 0.071.

Overhead cost for insurance = $110

Therefore, the expected cost of an accident will be calculated as:

= Average cost of an accident × Probability of a driver getting into an accident

= $14,886.05 × 0.071

= $1056.91

Therefore, the driver's insurance premium will then be:

= $1056.91 + $110

= $1166.91

Answer:

Step-by-step explanation:

8/3

Answer:

-5.5

Step-by-step explanation:

[tex]2x+7=-4\\2x=-4-7\\2x=-11\\x=-5.5[/tex]

Answer:

-11/2

Step-by-step explanation:

Let the number be a

(2a)+7= -4

2a= -4-7

2a= -11

a= -11/2

My calculator says 97.5

Answer:

195/2

Step-by-step explanation:

60/8=15/2

15/2*13=195/2

Answer:

A =224 in ^3

Step-by-step explanation:

Answer:

56in squared

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

75

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set up

75 + 120 + 90 + ∠4 = 360

Step 2: Solve

Answer:

number 8 is D) 78.7 in.

and number 9 is C) 63°

hope these are the answers you are looking for

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Given that the total number of people protesting is 81. These people are either male - Student or non student or Females (student or non students)

Given that there are 36 males then number of females

= 81 - 36

= 45

If there are 18 females non students then the number of females protesting that are students

= 45 - 18

= 27

Answer:

0.9 miles per member

Step-by-step explanation:

Total distance = 9 miles

Number of members = 10

If they are to carry the food back for an equal distance, we have to fin

Distance covered by a person with the food pack = Total distance / Number of members

Distance covered by a person with the food pack = 9 / 10 = 0.9 miles per member

Answer:

Step-by-step explanation:

4+2t=18

2t=14

t=7 hours

Answer:

7.00 hours

Step-by-step explanation:

They already did 4 problems and need to do 18 problems in total.

18 - 4 = 14 problems

2 problems/ per hour

14 problems/ 7 hours

It will take them 7 hours to finish. Since you said "Give your answer to two decimal places." You could write it as 7.00 hours.

Answer:

x = 15

Step-by-step explanation:

Assuming 3x and x-60 are in degrees, you can use:

cos(a) = sin(a+90)

To rewrite the equation as:

sin(3x) = sin(x-60+90)

sin(3x) = sin(x+30)

3x = x+30

2x = 30

x = 15

But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.

Answer:

Do it your self

Step-by-step explanation:

Gross

Answer:

30.5

Step-by-step explanation:

Answer:

1/6 chance of rolling a 4

Answer:

A. c = kn

Step-by-step explanation:

The cost c varies directly as the numbers n of pencils

This means that c is a multiplication of a constant by n, which is the number of pencils. So the equation for the cost is given by:

[tex]c = kn[/tex]

In which k is the constant of proportionality, that is, the cost of each pencil. So the correct answer is given by option A.

answer:

Step-by-step explanation:

1250 plus 0.25 equals 1250.25 plus 1250.25 plus 3200 equals 4450.25 plus 0.10 equals 4450.35

Answer:

0.0000308

Step-by-step explanation:

there are 5 places that it has moved from.

Answer:

its C

Step-by-step explanation:

ik

Answer:

D

Step-by-step explanation:

Since the total degrees of a circle is 360 and half of a circle is 180, 1/4 of a circle is 90 or less, D is the answer :)

Answer:

5. 1/4, 4/16

6. 4/5, 16/20

7. 1/3, 6/18

8. 2/9, 4/18

9. 1/3, 3/9

Step-by-step explanation:

Hope that helps!

Answer: He travelled 392 km that day.

Step-by-step explanation:

We are given that,

Speed of electric car = 56 km per hour.

Time = 7 hours

We know that,

Distance = Speed x Time

If he travelled 7 hours on that day, then Distance traveled in 7 hours on that day= (56 km per hour)  x (7 hours)

i.e. Distance traveled in 7 hours on that day== 392 km

Hence, he travelled 392 km that day.

According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70

If x - a is a factor of a function f(x), then f(a) = 0

For x - 7 to be a factor of f(x), f(7) must be equal to zero.

For f(x) = x³ - 16x² + 53x+ 70

f(7) = 7³ - 16(7²) + 53(7) + 70

f(7) = 343 - 16(49) + 53(7) + 70

f(7) = 343 - 784 + 371 + 70

f(7) = 0

Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70

Learn more here: https://brainly.com/question/19273656

Step-by-step explanation:

Geometric sequences are of the form a * b^x, where a and b are real constants.

We have a * b⁴ = 234 and a * b⁶ = 104.

Dividing the second equation by the first,

we get b² = 4/9, so b = 2/3.

When x = 4, a * b⁴ = 234.

=> a * (2/3)⁴ = 234, a = 1184.625

Hence the explicit rule

is a(n) = 1184.625 * (2/3)^n.

Answer:

Hence the explicit rule is a(n) 1184.625 *(2/3)^n.

Answer:

48

Step-by-step explanation:

round off 3.8 to 4 and 11.9 to 12 and multiply the values

Answer:

3 and 6.

Step-by-step explanation:

Write and evaluate the expression. Then, check all that apply.

Felix divided his shirts into three equal groups. Evaluate when s = 18.

The expression is

The expression is

The expression is s/3

The expression is

The answer is

The answer is 6.