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2 years ago

Write the equation of the line that passes through the point(-6,12) and is parallel to the line y=8

Mathematics

1 answer:

Ugo [173]2 years ago

5 0

Answer:

y = 12

Step-by-step explanation:

y = 8 is the equation of a horizontal line, parallel to the x- axis.

Thus a parallel line will also be horizontal.

The equation of a horizontal line is

y = c

where c is the y- coordinates of the points it passes through.

The line passes through (- 6, 12) with y- coordinate of 12, thus

y = 12 ← equation of parallel line

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2 years ago

a nunebr is chosen at random from 1 to 50 find the probability of selecting numbers greater than 30 and less than 45

stiks02 [169]

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Step-by-step explanation:

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1 year ago

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melomori [17]

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The U.S. Department of Education reported that in 2007, 67% of students enrolled in college or a trade school within 12 months o

MrRissso [65]

Answer:

a) The 90% confidence interval is $0.575\leq \pi\leq 0.701$

b) The margin of error is 0.063.

Step-by-step explanation:

We have to construct a 90% confidence interval for the proportion of students enrolled in college or a trade school within 12 months of graduating from high school in 2013.

We have a sample of 160 students, and a proportion of:

$p=X/N=102/160=0.6375$

The standard deviation is:

$\sigma=\sqrt{\frac{p(1-p)}{N}}=\sqrt{\frac{0.6375*0.3625}{160}}=0.038$

As the sample size is big enough, we use the z-value as statistic. For a 90% CI, the z-value is z=1.645.

Then, the margin of error is:

$E=z\cdot\sigma=1.645\cdot 0.038=0.063$

Then, the 90% confidence interval is:

$p-z\cdot \sigma\leq \pi\leq p+z\cdot\sigma\\\\0.638-0.063\leq \pi\leq 0.638+0.063\\\\0.575\leq \pi\leq 0.701$

4 0

2 years ago