Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.




The score that cuts off the bottom 2.5% is 48.93.
to have 2.40$ between 30 dimes and nickels she would have to have 18 dimes being 1.80$ and 12 nickles being .60 cents.
Answer:
(x+3)=-6
x=-6-3
x=-9
Step-by-step explanation:
Hope it helps!
When side changes positive changes into negative.
If x is one integer and x+1 is the next, we have 2*x+9=x+1. Subtracting 9 and x from both sides, we get x(the smaller number)=-8 and the larger number is -7.