A) the probability is 0.123 or 12.3%.
B) the probability is 0.8589 or 85.89%.
C) the normal distribution can be used even though the sample is small because the population the sample is taken from is normally distributed.
ExplanationA) We first find the z-score that corresponds with this value.

Using a z-table (http://www.z-table.com) we find 1.16; this corresponds to a probability of 0.8770. However, This is the probability that a number will be lower than this; since we want the probability that the value is higher, we subtract from 1:
1-0.8770 = 0.123.
B) To find the probability of a sample mean, we use the formula

Looking in our z-table we see that this corresponds with 0.1611. Again, however, this is the area left of this value, which is the probability below; we want the probability above, so we subtract from 1:
1-0.1611 = 0.8589
Answer:
m = -1/4
Step-by-step explanation:
4y + x = 8
Arrange the equation in a slope intercept form y = mx+b, where m is the slope
4y + x = 8, subtract x from both sides
4y = -x +8, divide both sides by 4
y = -x/4 + 8/4 , simplify
y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4
Answer:
-200 metre is less 450m because - 200 metre is negative.
Consider the right triangle ABC with legs AB=4, AC=3 and hypotenuse BC=5. Angle B has

and

.
Since O lies in second quadrant

and

.
Answer:
.
Slope: (y2-y1)/(x2-x1)
(0,7) and (-4,7)
(7-7)/(-4-0) = 0/ -4
The slope is 0