Answer:
X = 10
Step-by-step explanation:
the triangles are similar meaning one is smaller we have all the sides on the smaller one
10 to 25 is a 2.5 increase
so 4 x 2.5 = 10
Answer:
The upper 20% of the weighs are weights of at least X, which is
, in which
is the standard deviation of all weights and
is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then



The upper 20% of the weighs are weights of at least X, which is
, in which
is the standard deviation of all weights and
is the mean.
The slope of the line that passes throught (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(-4,3) and (-8,6)
slop=(6-3)/(-8-(-4))=(3)/(-8+4)=3/-4=-3/4
slope is -3/4
Answer:
30 books
Step-by-step explanation:
bookshelf is 45 inches
each book is 1 1/2 inches
45 / 1 1/2 = 30
30 books can fit on the shelf