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shtirl [24]
3 years ago
14

Simplify the expression (3x^2y^-3)^3/27(xy)^-9?

Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0
\frac{[(3x^{2}y^{-3})^{3}]}{27(xy)^{-9}}\\\\\frac{27x^{6}y^{-9}}{27x^{-9}y^{-9}}\\\\\frac{27x^{6}}{27x^{-9}}*\frac{x^{9}}{x^{9}}\\\\\frac{x^{15}}{1}\\\\x^{15}

Your answer should be x^{15}.
Serga [27]3 years ago
3 0
Hello here is a solution : 

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allsm [11]
Looks like the answer is 72.89 degrees, which is roughly equal to 73 degrees.
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Can some help me with this question
Luden [163]

To find the equation of this line in slope-intercept form (y = mx + b, where m is its slope and b is its y-intercept), we naturally need the slope and the y-intercept. We can see that the line intersects the y-axis at the point (0, 4) so our y-intercept is 4, and the line rises 4 along the y-axis for every 2 it runs along the x-axis, so its slope is 4/2 = 2. With this in mind, we can write the line's equation as

y = 2x + 4

7 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
PLS HELP FAST I NEED IT
Gemiola [76]

Answer:

(b) 1:9

(c) 1:8

Step-by-step explanation:

(b) x*y : kx*ky, so 1:k² with k=3 is 1:9

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kiruha [24]

ANSWER

B. 10

EXPLANATION

We need to find the value of x first.

It was given that the perimeter of triangle XYZ is 24.

This means that:

XY+YZ+XZ=24

we substitute the expression in terms of x to get;

(5x - 1) + (13 - x) = 24

This implies that

5x - x = 24 - 13 + 1

4x = 12

Divide both sides by 4 to get;

x = 3

|WY|=|ZX|=13-3=10

6 0
3 years ago
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