Answer:
x=5/2, 9
Step-by-step explanation:
Answer and Explanation:
Her alternative hypothesis is that there is some difference between the means of the ages of the audiences of the two television programs. That is, the mean ages of the two audiences are not the same.
If the mean of the ages of the audiences of television programme 1 (COPS) is xbar₁
And the mean of the ages of the audiences of the television programme 2 (60 minutes) is xbar₂
Her alternative hypothesis can be represented mathematically as
xbar₁ - xbar₂ ≠ 0
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.
Car's speed in miles per hour = 54 miles per hour
Recall :
- 1 mile = 5280 feets
- 1 hour = 3600 seconds
Car's rate in feet per second
- 54 miles per hour = (54 × 5280 × 1/3600) feet per second = 79.2 feets per second.
- Distance in 2 seconds :
- Distance = speed × time
- Distance = 79.2 × 2 = 158.4 feets
Therefore, the car will cover a distance of 158.4 feets in 2 seconds.
Learn more :brainly.com/question/23774048
Answer:
32
Step-by-step explanation:
First you're going to change 20% to a decimal which would be 0.20
Next, multiply .20 by 40
You should get 8
Subtract 8 from 40
You're answer is 32
