It would be D because in order to get rid of the fraction and the value of k you need to multiply -4 to the entire equation. Hope this helps love!
Let S represent Sunaina's age.
Let T represent Tanish's age.
So 2S - T/2 = 40, 4S - T = 80.
Either S - T = 2 or T - S = 2. Let's try both cases.
Either 3S = 78 or 3S = 82.
Since 82 is not a multiple of 3, S = 26.
So Sunaina is 26 years old and Tanish is 24 years old.
To find the annual rate of chnge, we have to use the following formula
P(2010) represents the population in the year 2010 and P(2000) represents the population in the year 2000 .
Substituting the values, we will get
The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:
We have a two-tailed test, as we are testing if the mean is different of a value.
Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:
|t| = 1.9801.
Hence the decision rule is:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630
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Answer:
C. -12
Step-by-step explanation:
divide each side by 2/3
2/3x ÷ 2/3 = x
-8 ÷ 2/3 = -12
x = -12