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Paha777 [63]
3 years ago
13

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal. Is Kyle's claim

incorrect or correct? In two or more complete sentences, justify your answer
Mathematics
2 answers:
Savatey [412]3 years ago
8 0
The claim made by Kyle is not entirely true and unjustifiable because for the figures or solids to be similar, not only the corresponding sides should have the finite ratio but also the corresponding angles should be equal. Although, the claim depends on the type of quadrilateral. 
Lilit [14]3 years ago
5 0

Kyle's claim is incorrect. This is because the square and the diamond are not the same shape. If they would be the same shape, but different sizes (provided the ratios of the corresponding sides are equal), then they would be similar. But they do have the same corresponding side ratios, so they could have been similar if their shapes would be the same.

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5. h(x)=0.5x - 1 with domain (-♾, 4) what is the range
Rudiy27

We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in (-\infty,4).

Let's try x=4 even though we are forbidden to put 4 inside h we are still able to do so.

So h(4)=0.5\cdot4-1=2-1=1 what we just got is the upper limit of the range. The lower limit is h(-\infty)=-\infty.

So the range is just (-\infty, 1).

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6 0
3 years ago
A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reporte
Over [174]

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if the mean difference is of 0.7 or less, that is:

H_0: \mu \leq 0.7

At the alternate hypothesis, we test if the mean difference is greater than 0.7, that is:

H_1: \mu > 0.7

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7

A survey of 35 people was conducted to compare their self-reported height to their actual height.

This means that n = 35

From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that X = 0.95, s = 0.44

Calculate the test statistic

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}

t = 3.36

The test statistic is t = 3.36.

3 0
3 years ago
Suppose that commercial airplane crashes in a certain country occur at the rate of 2.5 per year. what is the probability that fo
lesya [120]
The poisson distribution applies here.
\lambda=2.5
P(X=4)=\frac{e^{-2.5}\times2.5^{4}}{4!}=0.134
4 0
3 years ago
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