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Answer:
First part: 2 miles.
Second part: 45 minutes
Third part: 8 mph.
Step-by-step explanation:
We can divide this question into 3 parts.
Begin by solving for the distance traveled after 15 minutes by creating a ratio:

Cross multiply:
20 · 15 = 150 · x
300 = 150x
300/150 = 150x/150
x = 2 miles.
2nd part: How long it took her to ride 6 miles.
Set up another ratio similar to the one used before:

Cross multiply:
20 · x = 6 · 150
20x = 900
20x/20 = 900/20
x = 45 minutes.
3rd part:
For this part, we will need to convert from minutes to hours.

Therefore, her speed is 8 mph.
5 Girls + 3 Boys =8 (sample size)
Probability of choosing 1 boy P(1 B) = 3/8
Probability of NOT CHOOSING ANY BOY = 1-3/8 =5/8
Now apply the binomial probability to choose 3 Boys:
8C3(3/8)³(5/8)⁵ ==>P(All boys) = 0.28
Answer:
x = y/ (Uk)
Step-by-step explanation:
U = y / xk
Multiply each side by xk
Uxk = y / xk *xk
U xk = y
Divide each side by Uk
U xk/ (Uk) = y/ (Uk)
x = y/ (Uk)
Answer:
A = 78.5 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know r =5 and pi = 3.14
A = 3.14 (5^2)
A = 3.14 (25)
A = 78.5 cm^2
Answer:
C. -36
Step-by-step explanation:
(-9)(-8) ÷ (-2)
C. -36