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Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

6 0

1 = B 2 = C I hope it helps

mart [117]3 years ago

6 0

y = 4x - 6 ;this line has slope m = 4

x + 4y = 8

4y = -x + 8

y = -1/4 x + 2 ;This line has slope m = -1/4

Perpendicular lines, slope is opposite and reciprocals. In this case, slope of line two is opposite and reciprocal of line one. So both lines are perpendicular

Answer

B. They are perpendicular

3y = -x + 4

y = -1/3 x + 4/3 this line has slope m = -1/3

2x+6y = -12

6y = -2x - 12

y = -1/3 x - 2, this line has slope m = -1/3

Both lines have same slope as -1/3 so they are parallel.

Answer:

A. They are parallel

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Assume that we want to construct a confidence interval. Do one of the following, as appropriate:_________.

andreyandreev [35.5K]

Answer:

B. z Subscript alpha divided by 2 zα/2 = 1.96.

Step-by-step explanation:

We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:

n = 236, $\bar x$ = 30.3 hg, s = 7.2 hg. The confidence level is 95%.

As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.

It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.

Here, $\alpha$ = level of significance = 1 - 0.95 = 0.05 or 5%