What do I do on this?
1 answer:
You might be interested in
Answer:
Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.
274 shelters will be needed.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?
What is the percentile of 350?
This is the pvalue of Z when X = 350.
has a pvalue of 0.9082.
Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.
If not, what number of shelter openings will be needed?
The 95th percentile, which is X when Z = 1.645. So
274 shelters will be needed.
Answer:
1) 32
2) 3
3) 135
Step-by-step explanation:
to know: when multiplying terms with same base and exponents, multiply the bases and add the exponents
to know: when dividing terms with same base and exponents, divide the bases and subtract the exponents
to know: whenever exponents are contained within a set of parentheses and separated by another set of parentheses, multiply the exponents
1) (·
·
) ÷ 2³
= 3
2) (15· 25j²
) ÷ 5³j³k³ = (375
) ÷ 125j³k³ = 3
3) (5 · 3³) = 135