In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
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;
![\rm \alpha =1- Confidence \ interval](https://tex.z-dn.net/?f=%5Crm%20%5Calpha%20%3D1-%20Confidence%20%5C%20interval)
Substitute all the values in the formula
![\rm \alpha =1- Confidence \ interval\\\\\alpha=1-0.74\\\\\alpha=0.26](https://tex.z-dn.net/?f=%5Crm%20%5Calpha%20%3D1-%20Confidence%20%5C%20interval%5C%5C%5C%5C%5Calpha%3D1-0.74%5C%5C%5C%5C%5Calpha%3D0.26)
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
The percent makeup they are charging is 25%.
Answer:
Simplifying x + 6.7 = -9.7 Reorder the terms:
6.7 + x = -9.7 Solving 6.7 + x = -9.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7' to each side of the equation.
6.7 + -6.7 + x = -9.7 + -6.7 Combine like terms: 6.7 + -6.7 = 0.0
0.0 + x = -9.7 + -6.7
x = -9.7 + -6.7 Combine like terms: -9.7 + -6.7 = -16.4
x = -16.4 Simplifying x = -16.4
Step-by-step explanation:
Hope this helps
Answer:
(11, 13)
Step-by-step explanation:
First Equation: x+y=24
Second Equation: y=x+2
x + (x + 2) = 24
2x + 2 - 2 = 24 - 2
2x/2 = 22/2
x = 11
y = (11) + 2
y = 13
Therefore, the solution to the system is (11, 13)