Answer:
hope this helped! Can you give me brainliest please? :))
Step-by-step explanation:
A: -7
E: +6.9
<span>
<u><em>Answer:</em></u>y = 5x - 7
<u><em>Explanation:</em></u><u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>1- getting the slope:</u>The slope of the line can be calculated using the following formula:
m = </span>
<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>
<span> = 5
<u>Therefore, the equation now became:</u>
y = 5x + c
<u>2- getting the y-intercept:</u>To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
<u>Based on the above, the equation of the line is:</u>y = 5x - 7
Hope this helps :)</span>
Answer:
a) Decrease
b) New mean = 78.43
c) Decrease
Step-by-step explanation:
We are given the following in the question:
Total number of students in class = 28
Average of 27 students = 79
Standard Deviation of 27 students = 6.5
New student's score = 63
a) The new student's score will decrease the average.
b) New mean
New mean =
Thus, the new mean is 78.43
c) Since the new mean decreases, standard deviation for new scores will decrease.
This is because the new value is within the usual values i.e. within two standard deviations of the mean. So, this wont cause a lot of variation as this value will be closer to already available data values. Also number of observations (n) in the denominator is increasing. Based on both these points we can conclude that standard deviation will decrease
Formula for Standard Deviation:
where are data points, is the mean and n is the number of observations.
Answer:
No, you would multiply by 1.15
Step-by-step explanation:
A percentage goes by 'Hundreths' or .01
So 15% would be .15
We don't want to lose money along the way so we add a 1 it so it goes up for the total, like this:
28.75 * 1.15 = 33.1