Answer:
The coordinates of H′ are (-2,0).
Step-by-step explanation:
It is given that square EFGH stretches vertically by a factor of 2.5 with respect to the x-axis to create rectangle E′F′G′H′.
If a figure stretches vertically by a factor of 2.5 with respect to the x-axis, then the x-coordinates remains same and the points which lie on the axis are also remains the same after stretch.
It is given that the coordinates of H are (-2,0). This point lie on the x-axis, therefore it will remains the same after stretch.
Therefore the coordinates of H′ are (-2,0).
Length of KL is 17 units
Given that;
L is mid point of KM
KL = 2x - 3
LM = x + 7
Find:
Length of KL
Computation:
We know that,
L is mid point of KM
So,
KL = LM
2x - 3 = x + 7
2x - x = 7 + 3
x = 10
So,
Length of KL = 2x - 3
Length of KL = 2(10) - 3
Length of KL = 20 - 3
Length of KL = 17 units
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Answer:5.3 seconds and 10.6
Step-by-step explanation:
Answer:
About 99.7% of the IQ scores would be between 57 and 141.
Step-by-step explanation:
The Empirical Rule about a bell-shaped curve states that :
- 68% of the data lies within one standard deviation of the mean (both left-side and right-side)
- 95% of the data lies within two standard deviations of the mean (both left-side and right-side)
- 99.7% of the data lies within three standard deviations of the mean (both left-side and right-side)
Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14
141 – 99 = 42
= 3 × 14
Thus, 141 is 3 standard deviations to the right of the mean.
99 – 57 = 42
= 3 × 14
Thus, 57 is 3 standard deviations to the left of the mean.
Since 57 to 141 is within 3 standard deviations of the mean, and according to empirical formula stated above : about 99.7% of the IQ scores would be between 57 and 141.
Answer:
Step-by-step explanation:
It should be pi (1.5^2)3/3
or (3.14)(1.5^2)(1)
because 3 is the diameter and 1.5 is the radius and for cones you have to divide the height by 3
