Orlando buys a shirt for $15 and a pair of jeans for $32.50 . If the sales tax is 8% , what is the total prize Orlando pays for
2 answers:
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Answer:
Step-by-step explanation:
As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.
Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; (), where (
) and (
) are the legs of the right triangle, or the sides adjacent to the right angle. (
) is the hypotenuse or the side opposite the right angle.
Substitute in the given values and solve, note that () represents the unknown leg (side).
Inverse operations,
Answer:
66
Step-by-step explanation:
Using the z-distribution, it is found that since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.
At the null hypothesis, it is <u>tested if the mean length of jail time is still of 2.5 years</u>, that is:
At the alternative hypothesis, it is <u>tested if it has increased</u>, that is:
We have the <u>standard deviation for the population</u>, thus, the z-distribution is used. The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
is the standard deviation of the sample.
- n is the sample size.
For this problem, the values of the <u>parameters</u> are:
Hence, the value of the <u>test statistic</u> is:
The critical value for a <u>right-tailed test</u>, as we are testing if the mean is greater than a value, with a <u>significance level of 0.05</u>, is of
Since the <u>test statistic is greater than the critical value</u>, it can be concluded that the mean length of jail time has increased.
A similar problem is given at brainly.com/question/24166849