The diagonal's length is about 3.5 inches; to solve, use the Pythagorean theorem (a^2 + b^2 = c^) to determine the length of the diagonal using one of the two triangles it forms by cutting the square in half. One triangle has three sides: 6 in, 6 in, and the unknown diagonal.
6^2 + 6^2 = c^2 Plug in the known sides
36 + 36 = c^2 Simplify
72 = c^2 Simplify
~3.5 = c Take the square root of both sides
Answer:
We have 9 = 3^2;
Then, 9^x = (3^2)^x = 3^(2x);
We solve 3^(2x) = 3^40;
2x = 40;
x = 20 ÷ 2;
x = 10;
Step-by-step explanation:
The '68-95-99.7 ' rule says,
-About 68% of values fall within one standard deviation of the mean.
-About 95% of the values fall within two standard deviations from the mean.
-Almost all of the values — about 99.7% — fall within three standard deviations from the mean.
Here
The length falls within one standard deviation of the mean.
Therefore, the probability
The required probability is
A linear equation would work