In a survey of 1012 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 1012 ​surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 95​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.

Answer:

3. y = -8x + 2

f⁻¹(x) = -(18)x + 1/4

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4. y = (2/3)x - 5

f⁻¹(x) = 1.5x + 7.5

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5. f(x) = 2x² - 6

f⁻¹(x) = [tex]\sqrt{1/2x + 3}[/tex]

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6. y = (x - 3)²

f⁻¹(x) = 3 +  [tex]\sqrt{x}[/tex]

Answer:

56 ...

Step-by-step explanation:

70-14 = 56

Since it’s the sum of their age it’s just jiri’s age plus Pamela’s so you just subtract Pamela’s age from the total sum. And that would make jiri 56. (Sum means the total from adding) So if you do the problem over again. “The sum of 56 and 14” it would take you back to the question you have now. This is inverse addition.

Answer:42

Step-by-step explanation: you split 70 in half, 35 and 35. Then you add 7 to one (Jiri) and subtract 7 from one(Pamela). You get 42 and 28. To check you do 42-28=14 and 42+28=70.

Answer:

sin(75°) = [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]

Step-by-step explanation:

Given: sin(75°)

Rewrite: sin(30° + 45°)

Use sum and difference identity:

sin(α + β) = sinαcosβ + cosαsinβ

sin(30°+45°) = sin(30°)cos(45°) + cos(30°)sin(45°)

sin(30°+45°) = (1/2)(√2 / 2) + (√3 / 2)(√2 / 2)

sin(30°+45°) = (√2 / 4) + (√6 / 4)

sin(30°+45°) = [(√2 + √6) / 4]

sin(75°) = [(√2 + √6) / 4]

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

4706 = 100

468 = X

468 x 100/4706 = X

46,800 / 4,706 = X

9.94 = X

Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Answer:

mafi mallum

Step-by-step explanation:

The 7 arithmetic means between 4 and 8 are

9/2, 5, 11/2, 6, 13/2, 7, and 15/2.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

First term = 4
This means,

a = 4

9th term = 8

This means,

a + (9 - 1)d = 8

4 + 8d = 8

8d = 8 - 4

8d = 4

d = 4/8

d = 1/2

Now,

2nd term = 4 + (2 - 1)1/2 = 4 + 1/2 = 9/2

3rd term = 4 + 2 x 1/2 = 4 + 1 = 5

4th term = 4 + 3 x 1/2 = 11/2

5th term = 4 + 4 x 1/2 = 4 + 2 = 6

6th term = 4 + 5 x 1/2 = 13/2

7th term = 4 + 6 x 1/2 = 4 + 3 = 7

8th term = 4 + 7 x 1/2 = 15/2

Thus,

The arithmetic sequence is 4, 9/2, 5, 11/2, 6, 13/2, 7, 15/2, 8.

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Answer: 6

That chart is confusing ash, but median just refers to the middle value. Just put them in order (4,4,6,9,12) and then find the middle. In this case it's easy as there are an odd number of values. But if you have another question where there are an odd number, for example (4,4,6,10,12,15) find the two middle numbers, 4 and 9, add them (6+10=16) and then divide by 2 to find the number in between those two. (16/2=8)

Hope this helps!

Answer:

sum of angles in a quadrilateral is 360

Step-by-step explanation:

3x-15 +3x+15+y+30+D=360

hope that explanation helps

Answer:

I believe it would take 12 hours

Answer:

140 Large sized drinks were sold last month

Step-by-step explanation:

Each large drink is sold at $3

Therefore, we divide the amount of money which is $420 by $3

  = $420 ÷ $3 = 140 Large sized drinks

Answer:

x = 4 , y = 6

Step-by-step explanation:

I am sorry if I'm wrong

Answer:

3

Step-by-step explanation:

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

m=(10-4)/(7-5)

m=6/2

m=3

Answer:

A. 3

Step-by-step explanation:

I just did it on a calculator and got it correct

Answer:

1920 cm

Step-by-step explanation:

You multiply the values together. 8 times 20 times 12 is equal to 1920 cm.

Answer:

The weight unit is 200 pounds per tire

Answer:

D

Step-by-step explanation:

Sign means equal to or less then. Judging off the word problem saying "at least" it means that that they have that amount of trips or more.

Answer:

B. 24 + t ≥ 48

Step-by-step explanation:

So the keyword is at least which makes it clear that 24 + t is at least 48, which would be the same as is greater than or equal to

hope this helps:)

Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse

Step-by-step explanation:

Answer:

A. cd4

Step-by-step explanation:

Answer:

b.g(x)=[tex]x^{2}[/tex]+3

Step-by-step explanation:

If two graphs have the same shape and you only want to change one's y intercept, you just have to add or subtract the number at which you want the graph to intercept the y axis from the equation

Step-by-step explanation: To find the IQR of a box plot, you must identify the location of Q1 and Q3. Subtracting the values will give you the IQR

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

C=45

if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5

multiply 9 by 5 to get 45

Step-by-step explanation:

Answer: 4 quarters and 1 Nickel not sure if thats the question :/

Step-by-step explanation:

One dollar and one nickel are equal to $1.05.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

1 dollar = 100 cents

one nickel = 5 cents

So,

1 nickel = $0.05

Thus,

One dollar and one nickel are equal to $1.05.

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Answer:

B

Step-by-step explanation:

s>t because s is on top of the scale and t is below the scale

Answer:

[tex]A=110.5\pi \ inches^2[/tex]

Step-by-step explanation:

Given that,

The slant height of a cone, l = 17 inches

The diameter of a cone, d = 13 inches

Radius, r = (D/2) = 6.5 inches

We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :

[tex]A=\pi rl[/tex]

Put all the values,

[tex]A=\pi \times 6.5\times 17\\\\A=110.5\pi \ inches^2[/tex]

So, the lateral surface area of the cone is equal to [tex]110.5\pi \ inches^2[/tex].

Answer:

B 110.5

Step-by-step explanation:

Answer:

54 + 4D = L

After 39 days, the total length of the road will be 210 miles.

Step-by-step explanation:

Given that a construction crew is lengthening a road, and the road started with a length of 54 miles, and the crew is adding 4 miles to the road each day, to write an equation in which L represents the total length of the road ( in miles), and D represent the number of days the crew has worked, and then use the equation to find the total length of the road after the crew has worked 39 days, the following calculations should be performed:

54 (initial length) + 4D = L

54 + 4D = L

Thus, if the crew worked 39 days, the equation would be applied as follows:

54 + 4x39 = L

54 + 156 = L

210 = L

Therefore, after 39 days, the total length of the road will be 210 miles.

Answer:

how about no

Step-by-step explanation:

did anyone ask

Answer:

y^2+z^2=x^2 is true statement

Answer:

Step-by-step explanation:

tan(angle) = 6/20

angle = [tex]tan^-1(6/20)[/tex] =  16.699 degrees

Answer:

there are 6 outcomes

Step-by-step explanation:

there are only 6 spots, therefore it has to be 6