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Find the 3rd term of an arithmetic sequence with t2= 9/2 and t5= 6

qwelly [4]

<span>Well a simply way is to look at the problem as

Term 1 | 2 | 3 | 4 | 5 ----------------------------
Value | 9/2 | | | 6

There are 3 terms from 2 to 5 and the value increases 6 - 9/2 = 3/2 so the common difference is 3/2 divided by 3 so the common difference is 1/2 so to find the 3rd term add 1/2 to the 2nd term the pattern is each term is increasing by 1/2.. or 1/2 is added to the previous term. </span>

5 0

3 years ago

Is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that P

aleksley [76]

You can verify that Point X, with coordinate of (6,6) divides in a 1:2 ratio by finding the distance between points A and B. Doing so, you will find that the distance between points A and B is equal to 12, so 6 is half of 12. Therefore, the point (6,6) or X is halfway between points A and B(12), making the ratio 6:12 or simplified to 1:2.

4 0

3 years ago

Read 2 more answers

A researcher reports the following confidence interval for a comparison of the difference between two groups: 95% CI −12.0 [−30.

Lapatulllka [165]

Answer:

Decision: Support the null hypothesis.

Sample mean: -12

Step-by-step explanation:

Hello!

When deciding with a Confidence interval you have to keep in mind that the following conditions are met:

The hypothesis and the interval are made for the same parameter.
The hypothesis should be two-tailed.
The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.

If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.

The intervals to estimate the population mean have the following structure:

Estimator ± Margin of error

This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:

sample mean: $\frac{Upper bound + Lower bound}{2}$