Charlie makes 9 dollars for each week of work. Write an equation to represent his total pay p after working h hours
1 answer:
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To solve the problem we will put the values given to us in the formula of volume of a prism.
<h2>Prism</h2>A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.
The height of the prism is .
Given to us
- volume of a rectangular prism = (x3 – 3x2 5x – 3),
- area of its base = (x2 – 2)
- the volume of a rectangular prism is the product of its base area and height,
As given to us,
Substituting the values we get,
Hence, the height of the prism is .
Learn more about Volume of Prism:
Answer:
Reject the null hypothesis. There is sufficient evidence to conclude that the mean is less than 31%.
Step-by-step explanation:
In this case we need to test whether the popular charity has expenses that are higher than other similar charities.
The hypothesis for the test can be defined as follows:
<em>H</em>₀: The popular charity has expenses that are higher than other similar charities, i.e. <em>μ </em>> 0.31.
<em>Hₐ</em>: The popular charity has expenses that are less than other similar charities, i.e. <em>μ </em>< 0.31.
As the population standard deviation is not known we will use a t-test for single mean.
Compute the sample mean and standard deviation as follows:
Compute the test statistic value as follows:
Thus, the test statistic value is -2.62.
Compute the p-value of the test as follows:
*Use a t-table.
Thus, the p-value of the test is 0.014.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.014 < α = 0.05
The null hypothesis will be rejected at 5% level of significance.
Thus, concluding that there is sufficient evidence to conclude that the mean is less than 31%.