Answer:
Height is 5 ft
Step-by-step explanation:
<em><u>The prism is attached.</u></em>
<em><u></u></em>
The volume formula is:
Where
V is volume
B is area of base
h is height of prism
Now, solving for "h", gives us:
Looking at the prism, it is given:
V = 175
B = 35
Substituting, we get the height:
The height is 5 ft
Answer:
Step-by-step explanation:
1. Using the point of intersections, we use the substitution method to find the coordinates of the line parallel to
substituting the value of y in :
substituting x=-1 in y= -4-5x:
(upon solving, you should get this)
2. Using y=mx+c and making y the subject of the formula 2x-y-9=0 and using the coordinate we found earlier, we will find the equation of the parallel line. (We make y the subject of the formula to find the gradient)
-1= 2 x 1 +c
-3=c
Answer:
Q3 = 65.98 inches.
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 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.
Normally distributed with a mean of 64.9 inches and a standard deviation of 1.6 inches.
This means that
Find Q3, the third quartile that separates the bottom 75% from the top 25%.
This is X when Z has a pvalue of 0.75. So X when Z = 0.675.
Q3 = 65.98 inches.