There are 280 pieces of fruit in a fruit salad. There are twice as many raspberries as blueberries, three times as many grapes a
1 answer:
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The length of the rug is 4 ft.
The width of the rug is 2.5 ft.
Explanation:
The area of the rug is 10 ft.
The length of the rug be l.
Let us convert the inches to feet.
Thus,
Thus, the length of the rug is
Let the width of the rug be w.
Substituting these values in the formula of area of the rectangle, we get,
Solving the expression using the quadratic formula,
Substituting the values, we have,
Thus,
and
Since, the value of w cannot be negative, the value of w is 2.5ft
Thus, the width of the rug is 2.5ft
Substituting in
, we get,
Thus, the length of the rug is 4 ft.
Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:
We substitute x=161.4 , , and
to get:
From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%