
As we know, slope (m) is equal to tan θ for a straight line :


So, we can say that it's a positive constant slope
Answer: an equation that represents the total costs of the gym membership based on the number of months is
y = 25x + 50
Step-by-step explanation:
Let x represent the number of months that Frank makes use of the gym at LA fitness in order to get better in shape.
Let y represent the total cost of using the gym for x months.
He has to pay a one-time enrollment fee of $50 and then membership costs $25 per month. This means that the total cist for x month would be
y = 25x + 50
Answer:
21,000
Step-by-step explanation:
This is more of straightforward multiplication, so I cannot explain much! If you want me to try to do more, then just comment.
(7 * 10 * 5) * (3 * 10 * 2)
= (70 * 5) * (30 * 2)
= (350) * (60)
= 21,000
Thusly, in standard form, the equation given is
.
Hope this helps! (:
Answer:
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
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.
Mean of 7.2 minutes and a standard deviation of 2.1 minutes.
This means that 
For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.
X = 9



has a pvalue of 0.8051
X = 3



has a pvalue of 0.0228
0.8051 - 0.0228 = 0.7823
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Answer:
36
Step-by-step explanation:
4(a+b)-c
4(4)+4(8)=16+32-12
48-12=36