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Butoxors [25]
3 years ago
9

Do the lengths 60,80,100 form a right triangle

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer:

100 Sq. =80 SQ. +60 SQ.

10000=6400+3600

10000=10000

yes,given length can form right angle triangle.

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Find all of the solutions for the following equation.
Aleks04 [339]

Answer:

3 tan theta=root 3

tan theta=root 3/3

tan theta=0.57

Step-by-step explanation:

7 0
3 years ago
A random sample of 25 ACME employees showed the average number of vacation days taken during the year is 18.3 days with a standa
Norma-Jean [14]

Answer:

a) Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

b) df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

If we compare the p value and 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, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

c) Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

Step-by-step explanation:

Data given and notation  

\bar X=18.3 represent the sample mean

s=3.72 represent the sample standard deviation

n=25 sample size  

\mu_o =15 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for vacation days is higher than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Part b: P-value  and conclusion

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

Conclusion  

If we compare the p value and 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, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

Part c

Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

3 0
3 years ago
What is the gcf of 21 30 anwhat is the gcf of 21 , 30 ,and 44?
Ymorist [56]
Find the prime factorization of each value.

21 is 7*3

30 is 3*10 which can be further broken down into 3*2*5

44 is 4*11 which can be further broken down into 2*2*11

What do they share in common?
21 and 30 each have a 3 in common.
Therefore the GCF(21, 30) = 3.

21 and 44 share a 2 in common.
But if we're looking at all three of them together, they share nothing in common.
5 0
3 years ago
(8 ^ 4 * 9 ^ 5)/(16 ^ 2 * 27 ^ 3)<br>help needed plzzzzzz helppppp ​
Roman55 [17]

Answer:

answer is 48

Step-by-step explanation:

simplified after exponents.

4,096 x 59,049/ 256 x 19,683

simplified after multipled

241,864,704/5,038,848

= 48

6 0
3 years ago
Mrs. Barnes washed 2 7 of her laundry. Her son washed 1 4 of it. Who washed most of the laundry? How much of the laundry still n
wlad13 [49]

Answer:

Mrs. Barnes washed more.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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