Total outcome is 50 [because the number produced by the machine is from 1 to 50]
Question a:
Multiple of 10 are 10, 20, 30, 40, 50
There are five possible outcomes for multiple of 10
P(Multiple of 10) = 5/50 = 1/10
Question b:
Number 1 to 50 will be all the outcomes that are not 100
There are 50 possible outcomes
P(not 100) = 50/50 = 1
Question c:
Multiple of 4 that are less than 50 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
There are 12 possible outcomes for multiple of 4
We want 'not multiple of 4' so we need to do 50 - 12 = 38 outcomes
P(not a multiple of 4) = 38/50 = 19/25
Question d:
One digit numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9
There are 9 possible outcomes
P(one-digit number) = 9/50
The probability of any particular sequence of N flips of a fair coin is 2^(-N).
Your probability of the given sequence of 3 coin flips is
2^-3 = 1/8
<u>Answer:</u>
Both trucks are 150 miles after 1.516 hours
<u>Solution:</u>
Given, Two trucks leave a factory at the same time.
one travels east 60 miles per hour, and the other travels west at the 39 miles per hour.
We have to find In how many hours will they be 150 miles apart?
Let the time after which they will be 150 miles apart be t.
Now, we know that, <em>distance = speed x time.
</em>
For 1st truck ⇒ distance from factory = 60 x t
For 2nd truck ⇒ distance from factory = 39 x t
Here, t is same for both trucks as time is seen from common point of view.
Now, according to the given information,
distance of 1st truck from factory + distance of 2nd truck from factory = 150 miles.
60t + 39t = 150
99t = 150
t = 1.516 approximately.
Hence, both trucks are 150 miles after 1.516 hours.
D. X=130 but im not sure if this is correct
Answer:
y = 4x + 24
Step-by-step explanation:
The slope is the number in front of the x-value.
Slope intercept form is in the form of
y = mx + b (or as how I learned it)
m is the slope, and b is the y-intercept (the number that is left on the side.)
You can rearrange this by moving the x to the right side by subtracting it from both sides.
You now have 1/8y = 3 - 1/2x
which can be rearranged to
1/8y = -1/2x + 3.
You need to change the y to 1 whole instead of 1/8, so you multiply it by 8 since 8 divided by 8 is 1.
y = -4x + 24
