Answer:
1.86 < t < 2.31
Step-by-step explanation:
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean height actually is higher\lower than an specified value, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Or like this:
Null hypothesis:
Alternative hypothesis:
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:
(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 don't know on this case the calculated value and with the p value we can find it.
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a one side test the p value would be:
And we can find the critical value with the following excel code:
"
=T.INV(1-0.035,8)" and we got
And cannot be a lower tail test since all the options have positive values for the statistic. So on this case the best option is:
1.86 < t < 2.31
It is about 98.6666 hope i helped
Hence the value of the expression above are as listed below
<em>f(6+4) = 25</em>
<em>f(6)+f(4) = 20</em>
<em>f(6-4) = 1</em>
<em>f(6)-f(4) = 6</em>
<em>f(6*4) = 67</em>
<em>f(6)*f(4) = 91</em>
<h3>Functions and values</h3>
Given the expression below f(x) = 3x - 5
f(6+4) = f(10) =3(10) - 5
f(6+4) = 25
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)+f(4) = 13+7
f(6)+f(4) = 20
f(6-4) = f(2) =3(2) - 5
f(6-4) = 1
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)-f(4) = 13-7
f(6)-f(4) = 6
f(6*4) = f(24) =3(24) - 5
f(6*4) = 67
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)*f(4) = 13*7
f(6)*f(4) = 91
Learn more on function and values here: brainly.com/question/2284360
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Answer:
First, she notes down her current position as point A.
Then she checks out on the other bank, a big stone (point B) or something (which is not too far from her), she then goes along the bank to the point C so that BC is perpendicular with the bank.
If she can mark down the distance she walked AC and the angle BAC, then she can calculate the width of river (AB) by formula:
BC = AC x tan(BAC)
Hope this helps!
:)
Answer:
3
Step-by-step explanation:
With the stereos and amplifiers there are 5 * 2 = 10 choices.
For 30 choices you need
10 * x = 30
x = 3 speakers.