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sertanlavr [38]
3 years ago
14

Question 10 of 10 Simplify 43.45 A. 168 B. 16.15 C. 48 O O D. 415 SUBMIT

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

C

Step-by-step explanation:

4^3 x 4^5 =4^8

You add the exponents together because they have the same base and it's multiplication sum.

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The local oil changing business is very busy on Saturday mornings and is considering expanding. A national study of similar busi
eimsori [14]

Answer:

t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131  

Rejection Zone: t_{calculated} or t_{calculated}>2.131

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts  and data given  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X=4.2 represent the sample mean  

s=1.4 represent the sample standard deviation  

n=16 represent the sample selected  

\alpha=0.05 significance level  

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean is different from 3.6, the system of hypothesis would be:    

Null hypothesis:\mu = 3.6    

Alternative hypothesis:\mu \neq 3.6    

If we analyze the size for the sample is < 30 and we 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{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714

Critical values

On this case since we have a bilateral test we need to critical values. We need to use the t distribution with df=n-1=16-1=15 degrees of freedom. The value for \alpha=0.05 and \alpha/2=0.025 so we need to find on the t distribution with 15 degrees of freedom two values that accumulates 0.025 of the ara on each tail. We can use the following excel codes:

"=T.INV(0.025,15)" "=T.INV(1-0.025,15)"

And we got t_{crit}=\pm 2.131    

So the decision on this case would be:

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131  

Rejection Zone: t_{calculated} or t_{calculated}>2.131

Conclusion    

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

3 0
3 years ago
What is 1/5n equals 15
rosijanka [135]

Answer: n=75

Step-by-step explanation:

1/5 times 75 equals to 15

4 0
3 years ago
The expression −310+13m represents a submarine that began at a depth of 310 feet below sea level and ascended at a rate of 13 fe
GenaCL600 [577]

Answer:

206

Step-by-step explanation:

The formula for this problem would be -310 + 13(8) which = 206

3 0
3 years ago
Plz I will mark you as a brainliest
Alex17521 [72]

Answer:

C.

3 units to the right would mean you are adding the positive value of 3 to the number 5

7 0
3 years ago
Read 2 more answers
Find the area of a rectangle that has a length of 4/5 of a meter and a width of 3/5
Helen [10]

Answer:

Step-by-step explanation:

Givens

L = 4/5 m

w = 3/5 m

Formula

A = L * w

Solution

Area = 4/5 * 3/5

Area = (4 *3 ) / (5 * 5)

Area = 12/ 25 m^2

6 0
2 years ago
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