Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
Answer:
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.
This means that 
If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Answer:
D
Step-by-step explanation:
Plug (5, 7) & (8, 13) into each equations and see which one of them makes mathematical sense. You'll find out that y=2x-3 is the right answer.
Answer:
The answer is D.
Step-by-step explanation:
It is given that Gabriella swims 2 laps for 1 minute. So in order to find how many minutes did he swim for each lap, you have to divide it by 2 :
2 laps = 1 minute
2 laps ÷ 2 = 1 minute ÷ 2
1 lap = 1/2 minute
= 30 seconds
Test :
Gabriella swim 1/2 min per lap. So if he swim 2 laps, you have to multiply it by 2 :
1/2 × 2 = 1 minute
11:45 ---> 01:20
11:45 + (00:15 + 01:00 + 00:20)
= 01:20
So your answer is:
01:35 which is 1 hr, 35 mins.
