Answer:
y-4=7(x-1)
Step-by-step explanation:
Hi there!
We are given the slope of the line (7) and the point (1,4) and we need to find the equation in point-slope form.
Point-slope form is given as y-=m(x-
) where m is the slope and (
,
) is a point
We have all of the needed information for the equation, but let's first label the values of everything in order to avoid confusion
m=7
=1
=4
now substitute into the formula:
<u>y-4=7(x-1)</u>
Hope this helps! :)
Answer:
1. Linear; 2. C = 2.50x + 40
Step-by-step explanation:
1. Prediction
Yes, it is a linear function, because each additional photo adds the same amount to the cost.
2. Equation
Let C = the cost of the photo package
and x = the number of photos
Then 2.50x = the cost of the photos
And $40 = cost of photo shoot
Then C = 2.50x + 40
The figure below shows that the graph of your equation is a straight line.
Answer:
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval. The variance is the same as the mean.
Average rate of 56 calls per hour:
This means that , in which n is the number of hours.
Find the average and standard deviation of the number of service calls in a 15-minute period.
15 minute is one fourth of a hour, which means that . So
The variance is also 14, which means that the standard deviation is
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Answer:
A. q = 39
Step-by-step explanation:
Since the lines are parallel, their sides will be proportional,
So,
Taking their proportion
=>
Cross Multiplying
q × 40 = 26 × 60
q =
q = 39