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djyliett [7]
3 years ago
6

Complete the solution of the equation. Find the value of y when x equals -3. -x + 3y = 18

Mathematics
1 answer:
Zolol [24]3 years ago
6 0

Answer:

5

Step-by-step explanation:

-x + 3y= 18

X= 3

-(-3)+3y =18

3 + 3y= 18

Subtract 3 from both sides.

3y = 15

Divide by 3 on both sides.

Y= 5

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Calculate a critical z-score for a left-tailed, right-tailed, or two-tailed test.
muminat

Answer:

a. Z = -1.175.

b. Z = 1.34.

c. |Z| = 2.054.

d. |Z| = 1.28.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. The critical z-score for a left-tailed test at a 12% significance level

Left-tailed test: The region of interest is the 12th percentile or below.

Thus, the critical z-score is Z with a p-value of 0.12, so Z = -1.175.

b. The critical z-score for a right-tailed test at a 9% significance level

Right-tailed test: The region of interest is the 100 - 9 = 91th percentile and above.

Thus, the critical z-score is Z with a p-value of 0.91, so Z = 1.34.

c. The critical z-score for a two-sided test at a 4% significance level is 1.75.

Two-tailed test: The region of interest is between the 4/2 = 2th percentile and the 100 - (4/2) = 98th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.02 or 0.98, so |Z| = 2.054.

d. The critical z-score for a two-sided test at a 20% significance level is 0.85.

Region of interest is between the 20/2 = 10th percentile and the 100 - (20/2) = 90th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.1 or 0.9, so |Z| = 1.28.

4 0
3 years ago
7n + 6(n+4) -15 <br><br> how do i solve this with a step by step example
GrogVix [38]

Answer:

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Step-by-step explanation:

There is nothing to solve. We can simplify the expression by eliminating parentheses and combining like terms.

  7n +6(n +4) -15 . . . . . . given

  7n +6n +6(4) -15 . . . . use the distributive property

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  13n +9 . . . . . . . . . . combine like terms

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