Answer:
-2/6
Step-by-step explanation:
go down the y axis 2 times (-2) and over 6
y=-2/6x+4
Answer:
a) 281 days.
b) 255 days
Step-by-step explanation:
Problems of normally distributed samples are 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:

(a) What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths?
100 - 8 = 92th percentile.
X when Z has a pvalue of 0.92. So X when Z = 1.405.




(b) What is the maximum pregnancy length that can be in the bottom 3% of pregnancy lengths?
3rd percentile.
X when Z has a pvalue of 0.03. So X when Z = -1.88




Answer:
975
Step-by-step explanation:
The building is 76 feet tall. Notice that there's a pair of similar triangles in this diagram: The top of the building, root of the building, and the stake form triangle 1. The top of the tree, root of the tree, and the stake form triangle 2. Since the root of the tree is half way between stake and building, the proportionality between the triangles is 2. Therefore, the building is twice as tall as the tree. 38*2=76.