Answer:
Approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 7.43cm, standard deviation of 0.35cm.
What percentage of the apples have diameters that are between 7.08cm and 7.78cm?
7.43 - 0.35 = 7.08 cm.
7.43 + 0.35 = 7.778 cm.
Within 1 standard deviation of the mean, so approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.
Answer:
b = 24
Step-by-step explanation:
<u>Concepts</u>
The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation
. We can also use this formula to solve for the other two legs in the right triangle.
<u>Application</u>
In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.
<u>Solution</u>
Step 1: Set up equation and simplify.
Step 2: Subtract 100 from both sides.
Step 3: Take square root of both sides.
Therefore, b = 24.
Answer:
Step-by-step explanation:22/ 30 just divide by 3
First, change the fractions to a common denominator, which is 21.
so 3/7 * 3/3 = 9/21
1/3 * 7/7 = 7/21
Add the two together
9/21 + 7/21 = 16/21
Then take 21/21 - 16/21 = 5/21
There is 5/21 of the pizza left.
Theres 12 inches in a foot. So 12x8=96