Answer:
Step-by-step explanation:
make common denominators
2/4n - 1/4n + 2/6a + 3/6a
add common equations
1/4n + 5/6a
Answer:
<u>48.43552415324934</u>
Step-by-step explanation:
61.73²-38.27² = 2346
= 48.43552415324934
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis and the alternative hypothesis can be computed as:
(i.e. there is no difference between the SAT score for students in both locations)
(i.e. there is a difference between the SAT score for students in both locations)
The test statistics using the students' t-test for the two-samples; we have:






t = 2.06
degree of freedom = (
) -2
degree of freedom = (45+38) -2
degree of freedom = 81
Using the level of significance of 0.05
Since the test is two-tailed at the degree of freedom 81 and t = 2.06
The p-value = 0.0426
Decision rule: To reject
if the p-value is less than the significance level
Conclusion: We reject the
, thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.
Answer:
<h2>x = 12</h2>
Step-by-step explanation:
ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

We have AD = 16, DC = x, DB = 9. Substitute:
<em>cross multiply</em>

Answer:
See explanation below.
Step-by-step explanation:
The average is measure of central tendency that is also called sample mean and is calculated from the following formula:

This is an estimator of the population mean and is unbiased since the expected value for the estimator is the same parameter as we can see here:

And is important because is the most common measure of central tendency reported on any study.
Is important to remember that this measure can be affected by outliers , for this case when we have outliers is better use the median as a measure of central tendency