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Natali5045456 [20]
3 years ago
5

or Solve this system of equations by graphing. First graph the equations, and then type the solution. y= 7/4 x–3 y=x

Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

y =  \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y =  - 3 \\  -  \frac{3}{4} y =  - 3 \\ 3y = 12 \\ y =  \frac{12}{3}  \\ y = 4 = x

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a
Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}

n = 2401

The sample size needed is 2401.

7 0
3 years ago
Read 2 more answers
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Ber [7]

Answer:

78

Step-by-step explanation:

180-90-12=78

7 0
2 years ago
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Simplify 5y^2 + 5y + 5y + 5x^2.
Ierofanga [76]

Answer:

5y^2 + 10y + 5x^2

Step-by-step explanation:

there's only two like terms that can be combined.

4 0
3 years ago
What is the volume of this?
yawa3891 [41]
Hello there.

Answer: Split the shape into two
Calculate both shapes separately
10 x 10 x 10 = 1000
20 x 20 x 20 = 8000.
Add together both values:
8000 + 1000 = 9000in³

Hope Thus Helps You!
Good Luck Studying ^-^
4 0
3 years ago
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Help me please! I'm confused
TEA [102]

Step-by-step explanation:

1 and 2 are negative

3 and 5 are none

4 and 6 are positive

8 0
2 years ago
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