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miss Akunina [59]
4 years ago
13

Can you please help me

Mathematics
1 answer:
Elza [17]4 years ago
8 0

Answer:

45

Step-by-step explanation:

If two lines are parallel and cut by a transversal, corresponding angles are congruent. Angle GEB and angle EFD are corresponding so they are congruent so you can set them equal to each other and solve.

2x - 30 = x + 15 (add 30 to both sides, subtract x from both sides)

X = 45

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3:2
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2x - second number

2x = 24 / : 2
x = 12

3*12 = 36

answer: the larger number is 36.

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12a+6b equivalent expression
patriot [66]

Answer:

6(2a+b)

Step-by-step explanation:

The given expression is

12a+6b

To find the equivalent expression of the given one, we just have to factor.

In this case, the only thing we can do to rewrite is to extract the common greatest factor, which is 6

12a+6b\\6(2a+b)

Therefore, the equivalent expression is

6(2a+b)

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You go to the mall and your mom gives you $60 to spend on back to school clothes. There is a shirt you want for $80, but it is 2
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Answer:

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4 years ago
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company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26
podryga [215]

Answer:

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

p_v =P(t_{(49)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=25.02 represent the sample mean

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =26 represent the value that we want to test

\alpha 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 26  

Alternative hypothesis:\mu < 26  

If we analyze the size for the sample is > 30 but 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".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

P-value

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

df=n-1=50-1=49  

Since is a one sided test the p value would be:  

p_v =P(t_{(49)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

3 0
3 years ago
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