Answer:
3
Step-by-step explanation:
The function f(x) varies directly with x and f(x) = 90 when x = 30.
f(x)=3x
What is f(x) when x = 6?
f(6)= 3*6 =18
18
We'll use the formula for the classical probability as follows.
P(A) = Number of outcomes favorable for A / Total number of possible outcomes
In this case, two socks are randomly drawn from a set of 6+10 = 16 socks. So the total number of possible outcomes = 16C2 = 120.
The two stocks match each other if they are both blue or grey. So the number of favorable outcomes is 6C2 + 10C2 = 15 + 45 = 60.
Hence the probability that the two stocks match is
.
Answer:
Step-by-step explanation:
Reference angle = 27
height = 2
Sin(27) = opposite / hypotenuse
hypotenuse = opposite / sin(27)
opposite = 2
hypotenuse = 2 / sin(27)
hypotenuse = 4.405
The ramp has to be 4.41 feet long.
If we count 28 minutes from 3:32PM, we arrive at 4:00PM.
From there, we count two more hours and we arrive at 6:00PM.
So, there are 2 hours and 28 minutes until Emma's lesson.
Since one hour is 60 minutes, two hours are 120 minutes.
So, the total number of minutes is 120+28 = 148