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2 years ago

(2,?) is on the line 4x – 5y = -7. Find the other half of the coordinate.

1 answer:

4 0

$(x,y)=(2,?) \\ x=2 \\ y=? \\ \\
4x-5y=-7 \\
4 \times 2-5y=-7 \\
8-5y=-7 \\
-5y=-7-8 \\
-5y=-15 \\
y=\frac{-15}{-5} \\
y=3$

The coordinate is (2,3).

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How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confide

kari74 [83]

Answer:

The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean (μ) is:

$CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

The margin of error of a (1 - α)% confidence interval for population mean (μ) is:

$MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

The information provided is:

σ = $60

MOE = $2

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the sample size as follows:

$MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}$

$=[\frac{1.96\times 60}{2}]^{2}$

$=3457.44\\\approx 3458$

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

8 0

2 years ago

Juan buys c children’s tickets at each $8 each. He also buys one adult ticket for $12. Write three equivalent expressions for th

salantis [7]

Let T = total cost

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3 years ago

An airplane left Atlanta with 20 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?

jek_recluse [69]

Answer is C. 80

hope that helps

75% are full with 20 seats empty so 20 seats empty = 25%

75% * 20 / 25% = 60

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Step-by-step explanation:

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