Answer:
v = 18
Step-by-step explanation:
8/3v = 48
were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction
now we would have 8v = 48*3
48*3=144
now the equation looks like this 8v = 144
to isolate v we can divide 8 on both sides
which brings us to v = 18
High Hopes^^
Barry-
Answer:
- <u>The correct statement is the first one: </u><u><em>The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean</em></u><em> </em>
<em />
Explanation:
To calculate how many<em> standard deviations</em> a particular value in a group is from the mean, you can use the z-score:
![z-score=(x-\mu )/\sigma](https://tex.z-dn.net/?f=z-score%3D%28x-%5Cmu%20%29%2F%5Csigma)
Where:
is the number of standard deviations the value of x is from the mean
is the mean
is the standard deviation
Substitute in the formula:
![z-score=(10-6)/2=4/2=2](https://tex.z-dn.net/?f=z-score%3D%2810-6%29%2F2%3D4%2F2%3D2)
Which means that <em>the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations</em> above the mean.
Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.
Therefore, the correct statement is the first one: <em>The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean, </em>
Answer with explanation:
Let p be the proportion of adults have heard of the new electronic reader.
Given claim : The accompanying technology display results from a test of the claim that 38% of adults have heard of the new electronic reader.
i.e.
Then , the set of hypothesis will be :-
![H_0: p=0.38\\\\H_a:p\neq0.38](https://tex.z-dn.net/?f=H_0%3A%20p%3D0.38%5C%5C%5C%5CH_a%3Ap%5Cneq0.38)
Since, the alternative hypothesis is two tailed , so the test is two-tailed test.
Also, it is given that the sample size : ![n=1558](https://tex.z-dn.net/?f=n%3D1558)
Number of adults showed that they have heard of a new electronic reader=522
So the sample proportion for adults have heard of the new electronic reader : ![\hat{p}=\dfrac{522}{1558}\approx0.34](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B522%7D%7B1558%7D%5Capprox0.34)
The test statistic for proportion is given by :-
By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value =![=0.0011541](https://tex.z-dn.net/?f=%3D0.0011541)
Answer:
-1, 0, 1, 2
Step-by-step explanation:
-1 + 0 + 1 + 2 = 2