The volume of the fourth box is of 410.1 cubic inches.
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The volume of a rectangular prism is given by the <u>base area multiplied by the height,</u> that is:
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- For the first three boxes, the height is constant at 9 inches.
- At the base, the <u>edge length is multiplied by 1.5</u> each time, as
, thus, for the fourth box, the edge length, in inches, will be of 
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- Square base, of<u> length 6.75 inches</u>, thus:
- Height of <u>9 inches</u>, thus
and:
The volume of the fourth gift box will be of 410.1 cubic inches.
A similar problem is given at brainly.com/question/23756783
Answer:
7:16
3.5:8
Step-by-step explanation:
Answer:
The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 30 - 1 = 29
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.0452
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.
The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.
The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.
Sin(25 degrees) * 45 equals x. About 19.1
