The answer is: 5,614 square inches.
The explanation is shown below:
1. The gift on the bottom is a rectangular prism. To calculate its surface area, you must apply the following formula:
Where is the length (20 inches), is the width (42 inches) and is the heigth (16 inches).
2. Substitute values:
3. The surface area of the other gifts can be calculated with the formula for calculate the surface area of a cube:
Where is the side.
4. The surface area of the bigger cube is:
5. The surface area of the smaller cube is:
6. The total surface area (the combined surface area of the three gifts) is:
Answer:
Step-by-step explanation:
The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. This is the null hypothesis. It is written as
H0 : µ ≤ 34
The alternative hypothesis would be
Ha : µ > 34
This is a right tailed test because of the greater then symbol in the alternative hypothesis. Since the p value for the test was found to be 0.0281281, if we use a significant level of 0.05, then the conclusion would be
Reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average time spent on the deliveries does exceed 34 minutes.
Step-by-step explanation:
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As x increases by 1 the value of f(x) doubles so we need 2^x
When x = 0 the value of f(x) = 3
The correct answer is f(x) = 3(2^x). [the top option]
Answer:
24
Step-by-step explanation:
all odd numbers possible: 1, 3, 5, 7
__ __ __ __
there are 4 possibilities for the first blank
for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used
for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used
for the last blank there is only 1 possibility
so the number of solutions possible is 4 x 3 x 2 x 1 = 24