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BARSIC [14]
3 years ago
11

How can Sue use the converse of the Pythagorean Theorem to find out if a triangle with side lengths 28, 53, and 45 is a right tr

iangle? A. She can find out if the sum of 28 squared and 53 squared is equal to the square root of 45. B. She can find out if the sum of 28 squared and 53 squared is equal to 45 squared. C. She can find out if the sum of 28 squared and 45 squared is equal to the square root of 53. D. She can find out if the sum of 28 squared and 45 squared is equal to 53 squared.
Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

D

Step-by-step explanation:

28²+45²=53²

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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
4 years ago
I do not understand if anyone could help in steps or anything thank you. Solve for A -2(a + 7) = -9
Ne4ueva [31]
<h2>... Answer is in the pictures above... </h2><h3>... Hope this will help... </h3>

4 0
3 years ago
Find the value of A if A=1\2bh, b=8 and h= 9
katrin [286]
A=36 1/2*8*9 this is how you would figure out A
8 0
3 years ago
9. What is the scale factor of the dilation?
hodyreva [135]

Answer:

D

Step-by-step explanation:

The scale factor is the ratio of the corresponding sides, image to original, that is

scale factor = \frac{P'S'}{PS} = \frac{6}{3} = 2 → D

5 0
3 years ago
I need help with my homework .... It is passed due I have to get it done. If not I will get a F on it ... Please help me with it
Yuki888 [10]

a) see attachment for graph

b) D: [0, 2.5]    <em>time cannot be negative so the x-values start at 0</em>

   R: [0, 100]    <em>height cannot be negative so the y-values start at 0</em>

c) 84 ft             <em>refer to the red coordinate on the graph</em>

d) 1.75 seconds   <em>refer to the blue coordinate on the graph</em>

e) 2.5 seconds     <em>refer to the green coordinate on the graph</em>

<em />

When looking for coordinates at the various given values, remember that x is time and y is height.  

  • If you are given time, then look at the y-value for height
  • If you are given height, then look at the x-value for the time.

<em />

4 0
3 years ago
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