Answer:
y=6
Step-by-step explanation:
4(2y-3)-2y=24
Distribute
8y -12 -2y = 24
Combine like terms
6y -12 = 24
Add 12 to each side
6y-12+12 =24+12
6y = 36
6y/6 =36/6
y = 6
Answer:
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.
This means that 
Less than 50:
p-value of Z when X = 50. So



has a p-value of 0.0643
More than 150
1 subtracted by the p-value of Z when X = 150. So



has a p-value of 0.6915
1 - 0.6915 = 0.3085
The probability that his bill will be less than $50 a month or more than $150 for a single month is:
0.0643 + 0.3085 = 0.3728
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Hello there!!!
your answer will be <span>166.204210526 because $2500 divided by $4.75 is $526.31, and $526.31 x $1.50 is $789.47, and 789.47 divided by 4.75 is </span><span><span>166.204210526, </span>so that is your answer.
have a nice day. </span>
Answer: 10
Step-by-step explanation:
a 30° - 60° - 90° triangle has a side ratio of 1:√3: 2, meaning the side length across from the 30° is 1, the side length across from 60° is √3, and the side length across from 90° is 2
if you multiple the 1 * 5 = 5 (the 5 side length in the diagram), then also multiple (5 * √3 = 5√3) and (2 * 5 = 10)
since you're looking for the hypotenuse (the length across the 90°), the answer would be 10 (2 * 5 = 10)
*this method can work for any 30° - 60° - 90° triangle
you can also use trig:
sin (30°) =
(now just solve for x)
x * sin (30°) = 5
x = 
x =
( because sin (30°) = 1/2 )
x = 5 *
= 10
*either method works!