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3 years ago

What is the y-coordinate of the solution for the system of equations?

1 answer:

5 0

First equation is: x - y = 12
x = 12 + y

Now, substitute this in 2nd equation,
2x - 3y = 27
2(12+y) - 3y = 27
24 + 2y - 3y = 27
-y = 27 - 24
y = -3

In short, Your Answer would be -3

Hope this helps!

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The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30, and the sample statistics

IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

$H_a: p$

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= $\hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Substitute all the values , we get

$z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84$

Hence, the value of the test statistic = 0.84

6 0

3 years ago

The table below represents the function f

alukav5142 [94]

Answer:

Step-by-step explanation:

I belive its one because 3^2 is 9 and 9+1 = 10

to make sure it not just once 3^3 is 27 and 27+1=28

3 0

3 years ago

Can someone help me please

Digiron [165]

Answer:

x= 70°

Step-by-step explanation:

the lines overlapping the two sides on the triangle mean that those two sides are congruent, meaning that both of those angles would be equal to 70°

8 0

2 years ago

2/5 = ?/15 plzzzzzzz help

timama [110]

5 x 3 = 15

2 x 3 = 6

2/5 = 6/15

Hope it helps

8 0

3 years ago

Read 2 more answers

Brian scored 120 on his test the first time he took the test. The second time he took the test,

Brums [2.3K]

Answer:

b. 25%

Step-by-step explanation:

(new - old)/ old * 100%

150 - 120 = 30 ... 30/120 = .25 * 100% = 25%

6 0

2 years ago

Read 2 more answers