Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
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 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:
Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So
has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics
ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.
to rationalize the radical
Thus, each leg is 5\sqrt{2} [/tex].
since we don't know any of your vocabulary, I might not be using the ones you learned
since we have points A and B and points F(A) and F(B), I think they want us to use the word 'translation'
"The function F(x) translates each point to the right without moving them up or down." would be my description
also the 2 lines are paralell
Answer: 18 cm^2
Step-by-step explanation:
There are four equal triangle and a rectangle.
Formula of a rectangle = b * h = 2*3 = 6
Formula of triangle = 
but there four of them so we times them by 4, this leaves us with 2 (b * h) = 2(2*3) = 12
Area of pentagon = area of all triangles + rectangle
Area of pentagon = 12 + 6 = 18
Hope this helps.
