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LekaFEV [45]
2 years ago
6

1 Look at the figure

Mathematics
1 answer:
sattari [20]2 years ago
5 0

Answer:

  D. 8-cm square

Step-by-step explanation:

The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...

  289 -225 = 64

Its side dimensions will be √64 = 8 cm.

The diagram is correctly completed by the 8 cm square.

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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
3 years ago
Brenda has $500 in her bank account. Every week she withdraws $30 for
JulsSmile [24]

Answer:

10 weeks

Step-by-step explanation:

lets build a equation for this

500-30(x)........where x is the number of weeks

500-30(10)= $200 left

so she can maximum withdraw money for about 10 weeks

5 0
2 years ago
Kelly's teacher asked her to draw a triangle that doesn't have any lines of symmetry what type of triangle should Kelly draw an
romanna [79]

Answer:

Scalene type of triangle

Step-by-step explanation:

It can't be isosceles triangle because has at least one line of symmetry and an equilateral triangle has three lines of symmetry... While scalene does not have enough space to have sides with equal length.

3 0
3 years ago
Find the value of x. Round to the nearest tenth.
mel-nik [20]

Answer:

the answer is 38.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What plus what equals -8 ?
Vinil7 [7]

Answer:

-4+-4

Step-by-step explanation:

3 0
2 years ago
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