Answer:
Fr^2/Gm_2=m_1
Step-by-step explanation:
What you do first is you have to cross-multiply so f*r^2 and 1*gm_1m_2 to get
Fr^2=Gm_1m_2. Next you will divide Gm_2 from both sides to get
Fr^2/Gm_2=m_1 as your answer.
Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.
<h3>What does the Empirical Rule state?</h3>
It 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, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:
76 - 2 x 3 = 70.
76 + 2 x 3 = 82.
Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.
More can be learned about the Empirical Rule at brainly.com/question/24537145
Answer:
3
Step-by-step explanation:
.
Answer:
6
Step-by-step explanation:
The speed of the plane will be equal to 240 Mph.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Given that:-
- Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles.
- The speed of the plane was 170 mph faster than the speed of the car.
The speed of the plane will be calculated as:-
Let the speed of the car will be x mph so the speed of the plane will be
(x + 170)
Now time for the plane:-
Tp = Dp / Sp
Tp = 1200 / (x+170)
Now time for the car:-
Tc = Dc / Sc
Tc = 350 / x
It is given that time taken by both the plane and the car are equal:-
Tp = Tc
1200 / x+170 = 350 / x
1200x = 350x + 59500
850x = 59500
x = 59500 / 850
x = 70mph
The speed of the plane will be calculated By:-
Sp = x + 170 = 70 + 170 = 240 Mph
Therefore the speed of the plane will be equal to 240 Mph.
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