Volume of a cube = (edge)^3
In this problem,
Volume = 216in^2
Edge = ?
Let's plug our values into the formula above.
216in^3 = (edge)^3
Take the cbrt of both sides.
6in = edge
The length of each edge = 6in
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12
Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
Each curve completes one loop over the interval

. Find the intersections of the curves within this interval.

The region of interest has an area given by the double integral

equivalent to the single integral

which evaluates to

.
The value of alpha is 0.26, assuming a confidence level of 74%.
<h3>What is the margin of error?</h3>
The significance level α is the probability of making the wrong decision when the null hypothesis is true.
Alpha levels which is also called as significance levels are used in hypothesis tests.
Given
When finding the margin of error for the mean of a normally distributed population from a sample.
The confidence interval = 74% = 0.74.
The value of the alpha is given by;

Substitute all the values in the formula

Hence, the value of alpha is 0.26, assuming a confidence level of 74%.
To know more about confidence interval click the link given below.
brainly.com/question/26725727
Answer:
Hey it’s 283
Step-by-step explanation: