Answer:
The theoretical probability of rolling a number larger than 3 is 1/2 because this is what we expect to happen. The experimental probability of rolling a number larger than 3 is 1/3 because this is what actually happened.
Step-by-step explanation:
Answer: there are 22 observations that are more than 116.
Step-by-step explanation:
Let x be the random variable.
Given: Sample size = 950
Mean = 78
Standard deviation = 19
The probability that the observations are more than 116 is given by :-
Number of observations are more than 116 = 
Hence, there are 22 observations that are more than 116.
<span>We are going to define two equations where b means bagels and m will be muffins,
First equation: 10*b + 4*m = 13
Second equation: 5*b + 8*m = 14
From the second equation, we can isolate b:
b = (14 - 8*m)/5
In the second equation
10*(14 - 8*m)/5 + 4*m = 13
2*(14 - 8*m) + 4*m = 13
28 - 16*m + 4*m = 13
28 -13 = 16*m - 4*m
15 = 12*m
m = 15/12 = 1.25
Then b = (14 - 8*m)/5 = (14 - 8*1.25)/5 = 4/5 = 0.8
So one bagel costs $0.8 and one muffin $1.25</span>
Hey there!
I don't know if it's too late, but oh well: The answer is 108°
Knowing that supplementary angles add up to 180°, and we also know that we have 2 out of 3 of the angle measures, so we can subtract that from 180:
180 - 72 =108°
Have a terrificly amazing day!
Answer:
x=0 x = 1/6
Step-by-step explanation:
5x -30x^2 = 0
Factor out the greatest common factor which is 5x
5x(1 -6x) =0
Use the zero product property
5x =0 and 1-6x =0
x =0 -6x = -1
x = -1/-6
x = 1/6
