Integral of 2sin(2x) is -cos(2x)
from 0 to pi/2 (sub pi/2 minus sub 0 for x) and then solve
= -cos(2*pi/2)-(-cos0)
= -cos pi + cos 0
= 1 + 1
= 2
Answer:
24 grams
Step-by-step explanation:
80% (100%-20%) of 30 is 24
Answer:
a) 10.6; 48.7; within
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 29.6
Standard deviation = 6.35
"According to the Empirical Rule, the ages of nearly all lead actresses will be between______________and_____________ years.
Nearly all(99.7%) will be within 3 standard deviations from the mean.
So from 29.6 - 3*6.35 = 10.6 years to 29.6 + 3*6.35 = 48.7 years.
Anna was 11-years old, so she was within this range.
So the correct answer is
a) 10.6; 48.7; within
I believe the answer to this question is the one on the bottom right
Answer:
35
Step-by-step explanation:
Breakeven quantity are the number of units produced and sold at which net income is zero
Breakeven quantity = fixed cost / price – variable cost per unit
Fixed costs are costs that do not vary with output. e,g, rent, mortgage payments
If production is zero or if production is a million, Mortgage payments do not change - it remains the same no matter the level of output.
Hourly wage costs and payments for production inputs are variable costs
Variable costs are costs that vary with production
fixed cost = $2450
Variable cost = $75
price = $145
(2450) / (145 - 75) = 35
