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Vika [28.1K]
2 years ago
13

The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x

Mathematics
1 answer:
Nana76 [90]2 years ago
5 0

Step-by-step explanation:

x+y=0

x=-y

or, y=-x

3x-2y=10

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A researcher wishes to​ estimate, with 9090​% ​confidence, the proportion of adults who have​ high-speed Internet access. Her es
Sunny_sXe [5.5K]

Answer:  a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : z_{\alpha/2}=1.645

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271

Required minimum sample size= 271

8 0
3 years ago
Solve the equation using square roots.x2-14=-10
ElenaW [278]

Answer:

x=2

Step-by-step explanation:

x^{2} -14=-10\\

Add 14 to both sides

x^{2}=4

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x=2

8 0
3 years ago
Use the table from a random survey about the preferred service for streaming movies. Out of 750 people, how many would you expec
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Answer:

The correct answer option is 192

Step-by-step explanation:

We are given the results of a random survey about the preferred service for streaming movies.

We are to find the number of people we would expect to prefer Company B.

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Total number of people = 125

Number of people expected to prefer Company B =32/125 x 750  = 192

3 0
2 years ago
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
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Answer:

D)  

Step-by-step explanation:

y = 12x.

A) x=8, so that y = 12(8) = 96.  It's on the line

B) x = 10, so that y = 12(10) = 120.  It's on the line

C) x = 15, so that y = 15(12) = 180.  It's on the line

D) x = 18, so that y = 18(12) = 216, not equal to 206.  So, the point is not on the line.

8 0
2 years ago
Piper claims that 3(2a + 2) is equivalent to 5a + 6. She checks her claim by substituting -3 for a. Is Piper's claim correct? Wh
Paha777 [63]

Answer:

Piper's claim is not correct.

Step-by-step explanation:

3(2(-3)+2) = 5(-3)+6

3(-6+2) = -15 + 16

-18 + 6 = 1

-12 = 1

6 0
3 years ago
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