Answer:
(-7)(-1.2) = 8.4
(-2.5)(-2) = 5
(2.5)(-2) = -5
(7)(-1.2) = -8.4
Step-by-step explanation:
Multiplication.
We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.
(a) Average time that it would take reach school can be obtained by adding the average times.
8+20 = 28 minutes.
(b) Standard deviation of the trip to school can be found as:

Therefore, standard deviation of the entire trip is 4.47 minutes.
(c) Let us first find z score corresponding to 30 minutes.
We need to find the probability such that 
Therefore, the required probability is 0.67.
(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.
(e) Standard deviation won't change it will remain 4.47
(f) The new probability will be:


Therefore, probability will be 0.50.
Answer:
The side closest to P is the side that is on the same side of the angle bisector as P.
Step-by-step explanation:
The angle bisector is the line containing all the points equidistant from the sides of the angle. Points on one side of the angle bisector are closer to the angle side that is on that side of the angle bisector.
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The attached diagram shows the angle bisector as a dashed line. A couple of different locations for P are shown (P1 and P2). Apparently, we're concerned here with the distance from P along the perpendicular to each side of the angle. For P2 (on the left side of the angle bisector), it may be clear that the left perpendicular is shorter than the right one. Likewise, for P1, the right perpendicular will be shorter.
Answer:
x = -11/4
Step-by-step explanation:
Given that:
-2 = 5 / (2x+3)
Multiplying both sides by (2x + 3)
-2(2x + 3) = 5
"-" sign will alter the inner signs
-4x -6 = 5
Adding 6 on both sides:
-4x -6 +6 = 5 + 6
-4x = 11
Dividing both sides by -4
-4x/-4 = 11/-4
x = -11/4
i hope it will help you!
Answer:
$200
Step-by-step explanation:
Let X be the amount of Christmas money he had at the beginning.
He put 65% of X in the bank. This is 0.65x
He has $70 left which is equal to 0.35x
We need to write an equation to find the value of x.
70 = 0.35x
Divide by 0.35 to find the value of x.
70/0.35 = 0.35x/0.35
200 = x
He received $200 for Christmas.