What is the area of the following shape? Do not put units.
1 answer:
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Answer:
721.54
Step-by-step explanation:
We have to convert the 2% given in the statement into a z-score, as follows:
P (X> x) = 2% = 0.02, P (Z> z) = 0.02
thus find z such that:
P (Z <z) = 1 - P (Z> z)
P (Z <z) = 1 - 0.02
P (Z <z) = 0.98
we look for what value of z corresponds to in the normal distribution table and it is 2.06
x = m + z * sd
m is mean and sd standard deviation, replacing:
x = 497 + 2.06 * 109
x = 721.54
721.54 would be the minimum score.
Hey there!
4x + 6 < 18
SUBTRACT 6 to BOTH SIDES
4x + 6 - 6 < 18 - 6
CANCEL out: 6 - 6 because it give you 0
KEEP: 18 - 6 because it help compare to the x-value
SIMPLIFY IT!
4x < 18 - 6
4x < 12
DIVIDE 4 to BOTH SIDES
4x/4 < 12/4
CANCEL out: 4/4 because it give you 1
KEEP: 12/4 because it help give you the compared value to the x.
SIMPLIFY IT!
x < 12/4
x < 3
Therefore, your answer is: x < 3 (the graph is below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
