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2 years ago

Find the rule and complete the

Mathematics

1 answer:

serious [3.7K]2 years ago

5 0

Subtract m + ? from m:

11-7 = 4

12-8 - 4

16-12 = 4

21-17 - 4

All the differences are identical, so the rule is to add 4 to m.

The expression would be m + 4

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What is the answer a, b, c, or d

podryga [215]

Answer: Choice B

(-2, 5)

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Explanation:

The original system is

$\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}$

Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations

$\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}$

Now add straight down

The x terms add to -4x+3x = -1x = -x

The y terms add to 3y+(-3y) = 0y = 0

The terms on the right hand sides add to 23+(-21) = 2

We end up with the equation -x = 2 which solves to x = -2

Now use this to find y. You can pick any equation with x,y in it

----------------

-4x+3y = 23

-4(-2)+3y = 23

8+3y = 23

3y = 23-8

3y = 15

y = 15/3

y = 5

x-y = -7

-2-y = -7

-y = -7+2

y = -5

y = 5

Either way, we get the same y value.

So that's why the solution is (x,y) = (-2, 5)

6 0

2 years ago

est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean

Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

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.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so $\mu = 79, \sigma = 4.5$