Lauren would like to find the midpoint of a line segment that has endpoints at (–0.5, 3) and (4, 7.5). Which statements are true
2 answers:
Answer with explanation:
We have to find the mid point of the points P (-0.5,3) and Q(4,7.5) that lie on two dimensional coordinate system .Suppose mid point of PQ is R(x,y).
→Mid point of a line segment means that point on the line segment which divides the Segment in the ratio of 1:1.
→Mid point formula , point joining is
→So, Mid point of line segment that has endpoints at (–0.5, 3) and (4, 7.5) is
.
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Answer:
95% of monthly food expenditures are between $110 and $190.
Step-by-step explanation:
Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.
To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?
Solution :
At 95% of the data is between two standard deviation to left and right of the mean is given by,
To the left side,
To the right side,
We have given,
The sample mean
The standard deviation
Substitute in the formula,
Therefore, 95% of monthly food expenditures are between $110 and $190.