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Answer:

25% increase

Step-by-step explanation:

formula for percent of change =  (new amount - original amount) / original amount; this will give you a decimal and multiply it by 100 to get the percent

(30 - 24) / 24

6/24 = 1/4 = 0.25

25% increase

For each 16 unit increase in x, you get a 6 unit increase in y.

So, you can approach this with the idea of slope (change in y over change in x) to have a slope of 6/16 or 3/8.

y = 3/8 x

This checks out with all of those values.

Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

3156 out of 40467 adults experienced depression, hence:

[tex]n = 40467, \pi = \frac{3156}{40467} = 0.078[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081[/tex]

The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

A similar problem is given at https://brainly.com/question/16807970

Answer:

1.024km/h

Step-by-step explanation:

speed=distance/time

speed=420/6 hours 15 minutes

speed=420/410

speed=1.024km/h

Answer:

D. First, add 32 to both sides, then divide by -16 and flip the sign

Step-by-step explanation:

Taking that the inequality is -16k-32>-48

First you have to get rid of any addition or subtraction, in this case you have to get rid of -32 by adding 32 to each side:

-16k-32+32 > -48 +32

Then you need to divide by -16 and flip the sign because you are dividing by a negative number and if you don't flip the sign the inequality will be false.

[tex]\frac{-16k}{-16} <\frac{-16}{-16}[/tex]

The system is inconsistent because the slopes are the same and the lines are different.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the following system of equations:

y = 6x + 2     (1)

y = 6x + 1      (2)

We can see that both equations have the same slope of 6 but have different y intercepts.

Hence the system is inconsistent because the slopes are the same and the lines are different.

Find out more at: https://brainly.com/question/13911928

HERE YOU GO (THESE ARE THE RESULTS I GOT FROM THE GUY ABOVE ME):

[tex]{\huge{\boxed{\mathfrak{Question}}}[/tex]

[tex]4x + 5y = 6\\5x + 4y = 5[/tex]

The lines are

A. perpendicular.

B. parallel

C. neither

__________________________

C. Would be our answer because parallel lines never intersect

perpendicular lines form 90 degrees of all sides.

Answer:

The one guy is right k equals 43.6

Hope This Helps!!!

The value of k using Vertical angles is 43.6 degree.

Vertical angles are a pair of non-adjacent angles that are formed by the intersection of two lines. When two lines intersect, they create four angles at the intersection point.

Vertical angles are the angles that are opposite to each other and share the same vertex but are not adjacent. They are Congruent.

As, k and 43.6 are Vertical angles.

So, k = 43.6

Learn more about Vertical Angles here:

https://brainly.com/question/24566704

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Answer:

sin 2θ = -24/25

Step-by-step explanation:

see the below formula of sin x  in terms of tan x

by substituting => -4/3   /  ± √(16/9 + 1)

=> -4/3   /  ± √(25/9)

=> -4/3   / ±  5/3

=> ± -4/5

=> ± 4/5

as theta is in second quadrant is in 2nd quadrant sin value is positive

so sin θ = 4/5 and cos θ = -3/5

now sin 2θ = 2 sinθcosθ

= 2 * 4/5 * -3/5

= -24/25

Answer:

400

Step-by-step explanation:

Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84

Answer:

It is $0.8

Step-by-step explanation:

First find out the value of one baguette.

They just added one more baguette. So the amount left after subtracting them both will be the cost of 1 baguette.

2.10 - 1.45 = 0.65

Now, subtract the 1st cost with the cost of 1 baguette.

1.45 - 0.65 = $0.8

Pls Mark Me as the brainliest.

Answer:

an apple would remain

Step-by-step explanation:

Answer:

The price was dropped around 15%

Step-by-step explanation:

You will pay $3.15 for a item with original price of $3.70 when discounted 15%. In this example, if you buy an item at $3.70 with 15% discount, you will pay 3.70 - 0.555 = 3.15 dollars.

Answer:

A person's VO2max measurement is generally considered the best indicator of cardiovascular fitness and aerobic endurance. [ -is the relationship between VO2max and cardiorespiratory exercise. ]

Step-by-step explanation:

this is shoRT but helps

Answer:

The tax is 7% ^^

Step-by-step explanation:

Answer:

Sale tax is 7% or $8.82

Step-by-step explanation:

126 + 8.82 = 134.82 sales tax 7%

Answer:

Sarah practices the Piano for 1.96666 Hours or 59/30 Hours

Step-by-step explanation:

0.33333 + 0.83333 = 1.16666

1.16666 + 0.8 = 1.96666

1.96666 = 59/30

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Answer:

11 weeks

Step-by-step explanation:

6*3 = 18

He runs 18 miles per week

To find out many weeks it will take Nikko to run 198 miles we do

198/18 = 11 weeks

Answer:

11 weeks

Step-by-step explanation:

6 x 3 = 18  

198 divided by 18 is eleven

have a great day!

Answer:

20.7% is the % decrease.

Step-by-step explanation:

 If you are finding the % of decrease then see below.

% Decrease = (Original Cost - New Cost ) ÷ Original Cost  × 100

5.99 - 4.75 = 1.24

1.24 ÷ 5.99 = .2070

.2070 × 100 = 20.7%

Answer:

A because it's most likely to be like that at tryouts

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

Answer: £36

Step-by-step explanation: 10% is a tenth of the whole price (1/10). We would divide 40 by 10 to get 4 (1/10 of 40)- remember you divide by the bottom of the fraction and times by the top. To get the new price, we subtract 4 from 40 to get £36

Answer:

red line

the red line has a slope of -1 by looking at the coordinates,

it also intersects the given point (1,-1)

Answer:

Step-by-step explanation:

74/74

Answer:

7 13/20

Step-by-step explanation:

ur welcome :)

Answer: 1 hour and 50 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

Can someone tell me what happens in 2 hours

Answer:

I think that it will take about 81 minutes to paint the wall

Step-by-step explanation:

Answer:

75 ft square=45 min

81 ft square=48.6 min

81*45/75

Step-by-step explanation:

good luck