Answer:
218 and 314 days
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 266
Standard deviation = 16
About 99.7% of all pregnancies last between what interval?
Within 3 standard deviations of the mean. So
266 - 3*16 = 218 days
266 + 3*16 = 314 days
218 and 314 days
Slope is the change in y over the change in x:
Slope = (y2 - y1) / (x2-x1)
Replace the letters in the equation with the given information:
1/2 = (1 - -1) / (15 -r)
Cross multiply:
1 * (15-r) = 2 * (1- -1)
Simplify:
15 -r = 4
Subtract 15 from each side:
-r = -11
Because r is negative, you need to multiply both sides by -1 to make r positive:
r = 11
Answer:
10
Step-by-step explanation:
The given is a special right triangle with angle measures as follows:
45-45-90
The side lengths for this special right triangle are represented as follows:
a (the side length that sees angle measure 45)
a (the side length that sees angle measure 90)
İn the image we can see that one of the side length that sees angle measure 45 is 10
so c, the side length that sees angle measure 90 (hypotenuse),
is equal to
10
