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katen-ka-za [31]
3 years ago
14

Distribute -4(-x + y)

Mathematics
2 answers:
Luba_88 [7]3 years ago
4 0

- 4( - x + y) \\  =  (- 4)( - x) + ( - 4)( y) \\  = 4x  + ( - 4y) \\  = 4x - 4y
The answer is 4x - 4y
aleksandrvk [35]3 years ago
3 0
The answer would be 4x-4y.

(-4 * -x) + (-4 * y)
(4x) + (-4y) = 4x + -4y

Just be careful and remember that a negative times a negative is positive.
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Neko [114]
The diameter of a circle passes through the middle
8 0
3 years ago
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
konstantin123 [22]

<u>Answer:</u>

<u>(6x^(3)+11x^(2)-19x+5)-:-(3x-2)</u>

<u>Step-by-step explanation:</u>63+112+32+1

for some reason it showed that but yeah hope this helps!

4 0
3 years ago
A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class
KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

<u><em /></u>

<u><em>Let p = percentage of seniors who skip their classes.</em></u>

So, Null Hypothesis, H_0 : p \leq 2%   {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, H_A : p > 2%   {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                   T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of seniors who skipped their classes = \frac{77}{2521}

           n = sample of classes = 2521

So, <u><em>test statistics</em></u>  =  \frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }

                               =  3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, <u>the z table gives critical value of 2.3263 for right-tailed test</u>. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0
3 years ago
What is the solution to x - 9 &gt; -15?<br><br> x &gt; -6<br> x -24<br> x &lt; -24
DaniilM [7]

Answer:

x > -6

Step-by-step explanation:

X - 9 > -15

x > -6

4 0
3 years ago
Read 2 more answers
Simplify. (-2)-3 -8 - 8 user: simplify. 6x-2
Vinvika [58]
If you would like to simplify <span>(-2)-3 -8 - 8 and 6x - 2, you can do this using the following steps:

</span><span>(-2)-3 -8 - 8 = - 2 - 3 - 8 - 8 = - 5 - 8 - 8 = - 13 - 8 = - 21

6x - 2 = 2 * (3x - 1)

The correct result would be - 21 and </span><span>2 * (3x - 1).</span>
3 0
3 years ago
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