X is greater than or equal to -2 and x is less than two
D=a/c
Answer:
21 / 400
Step-by-step explanation:
Given 8 cherry, 5 grape, and 7 orange gummy vitamins out of the multivitamin container.
The probability that Julio will select an orange multivitamin is
7 ÷ 8 + 5 + 7 = 7/20
Also, given 11 berry, 3 lemon, and 6 pineapple gummy vitamins out of the calcium container
The probability that Julio will select a lemon calcium is
3 ÷ 11 + 3 + 6 = 3/20
Therefore, since the event of selecting are independent of each other
probability that Julio will select an orange multivitamin and a lemon calcium vitamin is
7/20 × 3/20
= 21 / 400
First, we must know that we can find the volume of a prism using the formula
Volume = length × width × height
Since we are finding the volume of a cube, all the sides will be the same length so we can represent this as Volume =
.
Now, we can substitute in our values. It does not matter where the numbers go because they are all the same.
7.5 × 7.5 × 7.5 = 421.875
Therefore, the volume of the prism is 421.875 
Sample space of A the 1st box ={5 plain pencils, 5 pens}
Sample space of B the 2nd box ={5 color pencils,7 crayons}
P(pen from the first box) =5/10 = 1/2
P(crayon from the second box) = 7/12
Now the P(pen from the first box AND crayon from the second box)
=P(pen from the first box ∩ crayon from the second box) =1/2 x 7/12
= 7/24 = 0.29
Answer:
24 miles per hour
Step-by-step explanation:
A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?
Step one:
given data
distance= 6 miles
time= 15 minutes
convert minutes to hours
15 minutes is 0.25hours
Step two:
speed= distance/time
speed= 6/0.25
speed= 24 miles per hour