Answer:
slope-6
y-intercept-(0,-3)
Step-by-step explanation:
Answer:
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
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Step-by-step explanation:
Answer: B. This student's test grade was 2.4 standard deviations above the mean test grade.
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Explanation:
The z score tells us how far away the raw score is from the mean. This distance is in terms of standard deviations.
- z = 1 means we're 1 standard deviation above the mean
- z = 2 means we're 2 standard deviations above the mean
and so on.
Negative z scores indicate the raw score is below the mean.
- z = -1 means we're 1 standard deviation below the mean
- z = -2 means we're 2 standard deviations below the mean
and so on. So that's why z = 2.4 indicates the students test grade was 2.4 standard deviations above the mean.
20.
Answer:
Step-by-step explanation:
x + z + y = 60
- x + z + y = -6 <-- (x - z = y + 6)
x + 3z + y = 40
<em>cancel out the two equations (z minus each other and y minus each other)</em>
x + z + y = 60
- -x + z + y = -6
________________
2x + 0 + 0 = 66
x = 33
<span>A = hours for plan A
B = hours for plan B</span>
<span>Monday: 6A + 5B = 7
Tuesday: 2A + 3B = 3</span>
use elimination by multiplying the 2nd equation by 3.
Doing that we get 3(2A + 3B = 3) = 6A + 9B
= 9
<span>So the two equations are now:
6A + 9B = 9</span>
6A + 5B = 7
Subtract and we have 4B = 2
B = 2/4 = 1/2 of an hour
Now put 1/2 back into either equation to solve for A
<span>6A + 5(1/2) = 7
6A + 5/2 = 7
6A = 14/2 -5/2
6A = 9/2
divide by 6 to get A = 9/12 = ¾ hours</span>
<span>Plan A = 3/4 hour</span>
<span> Plan B = 1/2 hour</span>