Answer:
A, D
Step-by-step explanation:
The graph of a proportional relation is a straight line that passes through the origin.
Answer: A, D
Y= -9x+5
The slope intercept formula is y=mx +b, where m is the slope and b is the y-intercept. We know that m is -9 because that’s the slope and b is 5 because the y-intercept is at (0, 5), meaning that’s where the line crosses the y-axis.
Using the average rate of change, it is found that the average rate is of:
(1) 2.1 °F per minute
<h3>What is the average rate of change of a function?</h3>
It is given by the <u>change in the output divided by the change in the input</u>.
In this problem:
- At 15 minutes, the temperature was of 90ºF.
- At 45 minutes, the temperature was fo 153ºF.
Hence, in 30 minutes, the temperature increased 63ºF, hence the rate is given by:
r = 63/30 = 2.1 °F per minute.
More can be learned about the average rate of change at brainly.com/question/24313700
Answer: Divide each term by −
10 and simplify.
k
=
−2
Answer:
3.1623 (sqrt(10))
Step-by-step explanation:
Standard Deviation is calculated by first squaring the differences between the observations and the mean and then taking the square root of the sum of the squares of the differences divided by the number of observations - 1.
Mean = Sum of Observations/Total Observations
Mean = (5 + 7 + 9 + 11 + 13)/5 = 45/5 = 9.
Square of the mean = 9^2 = 81.
Now subtracting the mean from each observation and squaring it gives:
(5 - 9)^2 = (-4)^2 = 16
(7 - 9)^2 = (-2)^2 = 4
(9 - 9)^2 = (0)^2 = 0
(11 - 9)^2 = (2)^2 = 4
(13 - 9)^2 = (4)^2 = 16
Sum of squares = 16 + 4 + 0 + 4 + 16 = 40.
Standard deviation = sqrt(40/4) = sqrt(10) = 3.16 (correct to 2 decimal places).
Therefore, answer is 3.16!!!
