Dice have six sides. So 6 cubed would be 216. Does that sound right?
Plugging in the values of (-4,2) into the two inequality statements to see whether it is part of the solution to the inequality system:
y ≥ -5x + 3
2 ≥ -5(-4) + 3
2 ≥ 20 + 3
2 ≥ 23 (false statement).
For the other inequality statement, substitute 2 for the y value:
y > -2
2 > -2 (true statement).
Since (-4,2) only satisfies one of the inequality statements, then it means that it is not a solution to the graph.
Therefore, the correct answer is FALSE.
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Answer: 64
Step-by-step explanation: 4 to the 3rd means 4 times itself three times.
So we have 4 · 4 · 4 which is 64.
To solve for proportion we make use of the z statistic.
The procedure is to solve for the value of the z score and then locate for the
proportion using the standard distribution tables. The formula for z score is:
z = (X – μ) / σ
where X is the sample value, μ is the mean value and σ is
the standard deviation
when X = 70
z1 = (70 – 100) / 15 = -2
Using the standard distribution tables, proportion is P1
= 0.0228
when X = 130
z2 = (130 – 100) /15 = 2
Using the standard distribution tables, proportion is P2
= 0.9772
Therefore the proportion between X of 70 and 130 is:
P (70<X<130) = P2 – P1
P (70<X<130) = 0.9772 - 0.0228
P (70<X<130) = 0.9544
Therefore 0.9544 or 95.44% of the test takers scored
between 70 and 130.
The answer is 70.
5 + 2 = 7
7 x 10 = 70
