Answer:The number is 209.708
Step-by-step explanation:
Answer:
0.7019; no, it does not appear to be safe.
Step-by-step explanation:
We want to find P(X > 185). However, in a z table, we are given the area under the curve to the left of the value; this means we want to find
1 - P(X ≤ 185)
The z score for the mean of a sample is given by

For this situation, the mean, μ, is 189 and the standard deviation, σ, is 39. Our sample size, n, is 27. This gives us
z = (185-189)/(39÷√27) = -4/(39÷5.1962) = -4/7.5055 = -0.53
Using a z table, we see that the area under the curve to the left of this value is 0.2981. This means our probability is
1-0.2981 = 0.7019.
Answer:
14.75°
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
Let the complement have measure x.
x + 75.25 = 90
x = 90 - 75.25
x = 14.75
Answer: 14.75°
9514 1404 393
Answer:
3/5
Step-by-step explanation:
The scale factor is the ratio ...
(image measure)/(original measure)
The diagram shows that the original measure of 5 becomes a measure of 3 on the image. The scale factor is 3/5.
The perimeter of a triangle is the sum of the lengths of all sides.
Using the distance formula

calculate the lengths of the sides and then add them up.

The answer is A.