Answer: x=65
step by step explanation:
since the two angles are linear pairs that would make the sum of the two angles equal out to 180 degrees (a straight line), therefore, the equation used would be 2x+50=180
to find x you must solve the equation 2x+50=180
work shown:
2x+50=180
2x=130
x=65
Answer: The profit after 5 seasons is $239.94.
Step-by-step explanation:
Since we have given that
Revenue function is given by

Cost function is given by

So, We need to find the total profit:
As we know the formula for profit:
Profit = Revenue - Cost

We need to evaluate the profit after five seasons:

Hence, the profit after 5 seasons is $239.94.
Answer:
Longer than 27.7 minutes.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?
Longer than the 100 - 25 = 75th percentile of times, which is X when Z has a pvalue of 0.75. So X when Z = 0.675. So




So
Longer than 27.7 minutes.
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
Answer: y = 360,000 times t + 4.3%
Step-by-step explanation: