A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.
Answer:
12 feet
Step-by-step explanation:
Use the Pythagorean Theorem.
5² + x² = 13²
25 + x² = 169
169 - 25 = 144
√144 = 12
12 feet
Answer:
10 / 38
Step-by-step explanation:
Black socks = 9
White = 10
Total = 10 + 9 = 19
Choosibg without replacement :
P(white) = 10 / 19
Second pick:
P(black) = 9 / 18 = 1/ 2
P(white then black) = 10/19 * 1/2 = 10/38
Answer:
Percentage of scores that fall between 70 and 80 = 24.34%
Step-by-step explanation:
We are given a test with a population mean of 75 and standard deviation equal to 16.
Let X = Percentage of scores
Since, X ~ N(
)
The z probability is given by;
Z = 
~ N(0,1) where, 
= 75 and 
= 16
So, P(70 < X < 80) = P(X < 80) - P(X <= 70)
P(X < 80) = P( < 
) = P(Z < 0.31) = 0.62172
P(X <= 70) = P( < 
) = P(Z < -0.31) = 1 - P(Z <= 0.31)
= 1 - 0.62172 = 0.37828
Therefore, P(70 < X < 80) = 0.62172 - 0.37828 = 0.24344 or 24.34%
Answer:
d =2
Step-by-step explanation:
6d+8=14+3d
Subtract 3d from each side
6d-3d+8=14+3d-3d
3d +8 = 14
Subtract 8 from each side
3d +8-8 = 14-8
3d =6
Divide by 3
3d/3 = 6/3
d =2
