The pink trapezoid is dilated by a factor of 3. The resulting image is shown in blue. What is the ratio of the perimeters of the
two trapezoids? (small:large)
A) 1:2
B) 1:3
C) 1:4
D) 1:6
A) 1:2
B) 1:3
C) 1:4
D) 1:6
2 answers:
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Answer:
Gregoire is correct; the diameter is a chord that passes through the center of the sphere.
Step-by-step explanation:
A sphere is a geometrical shape formed from a circle. Some of its parts are: diameter, center, radius circumference, etc.
The center of a sphere is a point at its middle. The diameter is a straight line, e.g a chord, that is drawn from one point on the circumference of a sphere to another point and passes through its center. While radius is a line that is from the center of the sphere to a point on its circumference.
A diameter is twice of a radius, so that:
Radius =
⇒ Diameter = 2 × Radius
Therefore with respect to the question, Gregoire is correct because a diameter is a chord that passes through the center of the sphere.
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.
I hope this helps you
