Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
3(a - 1) + 2a = a + 1
Step 2: Solve for <em>a</em>
<u>Distribute 3:</u> 3a - 3 + 2a = a + 1
<u>Combine like terms:</u> 5a - 3 = a + 1
<u>Subtract a on both sides:</u> 4a - 3 = 1
<u>Add 3 on both sides:</u> 4a = 4
<u>Divide both sides by 4:</u> a = 1
Answer:
1, 3, 7, 21!
Step-by-step explanation:
Answer:
-30
Step-by-step explanation:
-x/10 = 3
-x = 3 * 10 (transposing)
-x = 30
x = -30
Answer:
The critical value for this hypothesis test is 6.571.
Step-by-step explanation:
In this case the professor wants to determine whether the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes.
Then the variance will be,
The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:
<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.
<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.
The test statistics is:

The decision rule is:
If the calculated value of the test statistic is less than the critical value,
then the null hypothesis will be rejected.
Compute the critical value as follows:

*Use a chi-square table.
Thus, the critical value for this hypothesis test is 6.571.