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.
Area of the triangle is 20x(x - 1) sq. in
Step-by-step explanation:
- Step 1: Find the area of the triangle.
Height = 10x in and Base = 4(x - 1) in
Area = 1/2 × base × height
⇒ Area = 1/2 × 4(x - 1) × 10x
= 20x(x - 1) sq. in
