Sebastian is going to choose the color pattern

Mathematics

1 answer:

jeka942 years ago

5 0

Answer:

use blue red blue red

Step-by-step explanation:

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Which equation represents a line through (-4, 3) that is perpendicular to y=x+7?

Oksana_A [137]

Answer:

B. y = -x - 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.

Plug the slope and the given point into y = mx + b to find b:

y = mx + b

3 = -1(-4) + b

3 = 4 + b

-1 = b

Then, plug this and the slope into y = mx + b

y = -x - 1

So, the correct answer is B, y = -x - 1

7 0

3 years ago

The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontradit

shutvik [7]

Answer:

There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

For this problem, we have that:

Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is $\mu = 3.5$ and $\sigma = 0.5$ .