Answer:
3 and 6
Step-by-step explanation:
GCF's or greatest common factors of numbers 1 to 8
1 : 1
2 : 1, 2
3: 1 , 3
4 : 1, 2, 4
5 : 1, 5
6 : 1, 2, 3, 6
7 : 1, 7
8 : 1, 2, 4, 8
3 and 6 have 3 as their GCF
The true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
<h3>
Relative velocity of the football</h3>
The true speed and direction of the football is determined by applying the concept of relative velocity.
Vr/w = Vb - Vw
where;
- Vr/w is the velocity of the football with respect to the wind
- Vb is the velocity of the football
- Vw is the velocity of the wind
Vr/w = 41 mph - 11 mph = 30 mph
The direction speed can be determined by sketching a triangle
Direction of the speed, θ = (360 - 339) - (180 - 168)
θ = 21 - 12 = 9⁰
<h3>Resultant speed;</h3>
R² = 41² + 11² - 2(41 x 11 x cos9)
R² = 911.105
R = √911.105
R = 30.185 mph
Thus, the true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
Learn more about relative velocity here: brainly.com/question/17228388
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Answer:
The probability that the person is between 65 and 69 inches is 0.5403
Step-by-step explanation:
Mean height = 
Standard deviation = 
We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)
At x = 65
Z=-0.4
Refer the z table for p value
P(x<65)=0.3446
At x = 69
Z=1.2
P(x<69)=0.8849
So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403
Hence the probability that the person is between 65 and 69 inches is 0.5403
= 3a^2b(cuberoot(b^2)) - 3a^2b^3(square root(3a))
answer is the first choice
