Divide 81/289 and see the decimals value
then check each answer choice and the one with the same decimals value as your question is your answer
Answer:
68.269%
Step-by-step explanation:
We start by calculating the z-scores of both numbers
Mathematically;
z-score = (x-mean)/SD
where x represents the raw score
For 82;
z-score = (82-87)/5 = -5/5 = -1
For 92;
z-score = (92-87)/5 = 5/5 = 1
So the probability we want to calculate would be;
P(-1 < x< 1)
We can use the standard normal distribution table to get this.
By using the distribution, P(-1<x<1) = 0.68269
By converting this to percentage, we have 68.269%
Answer:
30+10y < 120
Step-by-step explanation:
Answer:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
Step-by-step explanation:
There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.
The first
A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
The second:
A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20