The figure below is a rectangular box in which EFGH and ABCD are rectangles and BF is perpendicular to planes EFGH and ABCD. Use
the figure to complete parys a through e.
1 answer:
Answer:
Step-by-step explanation:
Given question is incomplete: Find the compete question in the attachment.
a). Skew lines neither the parallel lines nor they intersect each other.
Two pairs of skew lines are BF and EH, & CG and EF.
b). Since EFGH and ABCD are rectangular planes and BF and DH are perpendicular to them,so both will be the altitudes between the planes.
Therefore, BF and DH will pe parallel.
c). BD and DH are the diagonals of the planes parallel to each other.
Therefore, BD and DH will be parallel.
d). Since BD and plane EFG don't intersect each other, so the solution will be an empty set.
e). HG is perpendicular to DH. So,the planes BDH and FHG containing these lines will be perpendicular to each other.
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Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation = = 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:
For z = -1.56, we get:
For z = -0.88, we get:
Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
Answer:
27 balls
Step-by-step explanation:
If Dianna and Becky stopped 9 out of 10 shots made against them.
It means they allowed in 1 out of 10 shots made against them.
This is best solved using ratios
Proportion of Shots Stopped : Proportion of Shots allowed=9:1
If the other team scores 3 points, it means the number of shots allowed =3
Let x be the number of shots stopped
Number of Shots Stopped : Number of Shots allowed=x:3
Therefore:
9:1=x:3
Cross multiplying
x=9 X 3 =27
Dianna and Becky stopped 27 balls from going into the net,