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SOVA2 [1]
3 years ago
15

If the triangle are similar, write a similarity

Mathematics
1 answer:
Vesna [10]3 years ago
6 0

Answer:

The triangles are similar due to AAA

Step-by-step explanation:

'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.

Then the triangles are similar due to AAA

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A sample of 1200 computer chips revealed that 45% of the chips fail in the first 1000 hours of their use. The company's promotio
yaroslaw [1]

Answer:

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

p_v = P(Z

So the p value obtained was a low value and using the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of chips that fail in the first 1000 hours of their use is not significantly less than 0.48.   

Step-by-step explanation:

Data given and notation

n=1200 represent the random sample taken

\hat p=0.45 estimated proportion of chips that fail in the first 1000 hours of their use

\mu_0 =0.48 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion si less then 0.48:  

Null hypothesis:p\geq 0.48  

Alternative hypothesis:p < 0.48  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v = P(Z

So the p value obtained was a low value and using the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of chips that fail in the first 1000 hours of their use is not significantly less than 0.48.  

6 0
3 years ago
Derek is 6.5 feet tall and casts a shadow that is 10 feet long. If a basket ball hoop next to Derek is 10 feet tall, how long is
son4ous [18]

Answer:

14.5 feet tall.

Step-by-step explanation:

the shadow increase by 4.5 per inch in height

3 0
3 years ago
what is the probability of randomly selecting a score between 1 and 2 standard deviations below the mean?
velikii [3]

Answer:

0.13591.

Step-by-step explanation:

We re asked to find the probability of randomly selecting a score between 1 and 2 standard deviations below the mean.

We know that z-score tells us that a data point is how many standard deviation above or below mean.

To solve our given problem, we need to find area between z-score of -2 and -1 that is P(-2.

We will use formula P(a to solve our given problem.

P(-2

Using normal distribution table, we will get:

P(-2

P(-2

Therefore, the probability of randomly selecting a score between 1 and 2 standard deviations below the mean would be 0.13591.

8 0
3 years ago
Math help will mark brainliest
jasenka [17]

im not sure but its either A Or D

Step-by-step explanation:

because the points are  on that point

3 0
3 years ago
Given a cylinder with a radius of 6 cm and a height of 12 cm, find the volume of the cylinder. Use 3.14 for \pi
sergey [27]

Answer:

volume = \pi {r}^{2} h \\  = 3.14 \times  {6}^{2}  \times 12 \\  = 1356.48 \:  {cm}^{3}

5 0
3 years ago
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