The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you
Answer:
3.72769
Step-by-step explanation:
Use tangent - tan74 = 13/x
Solving for x gives you 3.72769
I'm not sure how many decimal places you need, so there are most of them
Hopefully this helps- let me know if you have any questions
We need to leave m alone on the right hand side, so let's move everything else to the left hand side.
First of all, we can subtract b from both sides to get

Now, we can divide both sides by c to get

And so we solved the expression for m, because we have written an expression in the form
, where the right hand side doesn't depend on m.
Answer:
y = 4
Step-by-step explanation:
Given that,
RS= 4y+2, ST = 3y+8, and RT = 38
We need to find the value of y.
As,
RT = RS+ST
Put all the values,
38 = 4y+2+3y+8
38-2-8 = 4y+3y
28 = 7y
y = 4
So, the value of y is equal to 4.
Formula to find the slope:
m = y2-y1 / x2-x1
(4,3); (8,5)
m= 5-3 / 8-4
m = 2/4
m = 1/2
Therefore, the slope of the line that passes through these points is 1/2