Use the graph to answer the following…

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.

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:

400

Step-by-step explanation:

Answer: {a}_{10} = 128

Step-by-step explanation:

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:

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:

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:

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:

the first, second and fifth ones

Step-by-step explanation:

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:

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

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The set of values that satisfies the inequality is (-∝, 6)

Inequality shows the non-equal comparison between two numbers or other mathematical expressions.

Given the inequality: 3k – 6 < 12

Solving the inequality:

3k – 6 < 12

Add 6 to both sides:

3k - 6 + 6 < 12 + 6

3k < 18

Divide both sides of the equation by 3:

3k/3 < 18/3

k < 6

The set of values that satisfies the inequality is (-∝, 6)

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Step-by-step explanation:

= (x - 3)(2x² - 5x + 1)

= 2x³ - 5x² + x - 6x² + 15x - 3

= 2x³ + (-5 - 6)x² + (1 + 15)x - 3

= 2x³ - 11x² + 16x - 3

Option → C

The product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

The product of two polynomials is simply the multiplication of both polynomials together.

Given:

(x − 3)(2x² − 5x + 1)

Multiply using the distributive property

x(2x² − 5x + 1) -3(2x² − 5x + 1)

2x³ - 5x² + x - 6x² + 15x - 3

Combine like terms

2x³  - 11x² + 16x - 3

Therefore, the product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

Learn more about polynomials on:

https://brainly.com/question/2833285

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:

288/5

Step-by-step explanation:

simplified: (2³x 9) x 4/5 = 288/5

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

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]

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:

an apple would remain

Step-by-step explanation:

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:

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:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Answer:

Step-by-step explanation:

You just need tp translate what is written in the two- column proof into paragraph.

Given that the two angles have same measure of 125°, by transitive property we proof that the angles are congruent.

We don't perform any of addition,  division or multiplication operations. We just compare the angle measures and come to conclusion.

This is best described in the paragraph C

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:

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