Answer:
The area of the shaded region is 0.9082.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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, which is the area of the shaded region, is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Area of the shaded region:
pvalue of Z
has a pvalue of 0.9082
So
The area of the shaded region is 0.9082.
Answer:
x^2 -10x - 15 = 0
(don't know how far you want me to go)
Step-by-step explanation:
(x - 5)^2 = 40
(expand the brackets)
(x - 5)(x - 5) = 40
x^2 -5x -5x + 25 = 40
x^2 -10x + 25 = 40
x^2 -10x - 15 = 0
500 at 40 each = £20000
To make a profit he needs to make more than £20000
20 broke so he sold 500-20 = 480 at 45 each.
480 x 45 = 21600
Profit = 21600 -20000 = 1600
His profit was £1,600
I attached a photo where I graphed these vertices in order to count the length and width. After counting the number of units between R & U I got a width of 4. And then I counted the units between S & T to get a width of 6. Using the formula to calculate the perimeter of a rectangle, P = 2(l+w). The perimeter is 20.
First I added the length plus the width, 4 + 6 and got 10. Then I did 10 x 2 which is how I got a perimeter of 20.
Answer:
3.9
Step-by-step explanation:
if one point is 7.8 and the other is 3.9
you would subtract 7.8 and 3.9
the answer is 3.9 away from each other
