Answer:
the value of x that gives the greatest difference is 10.
Step-by-step explanation:
Given;
x² and x³
values of x = 6, 8 and 10
When x = 6
6³ - 6² = 216 - 36 = 180
When x = 8
8³ - 8² = 512 - 64 = 448
When x = 10
10³ - 10² = 1000 - 100 = 900
Therefore, the value of x that gives the greatest difference is 10.
Answer:
3.84% of months would have a maximum temperature of 34 degrees or higher
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:

What percentage of months would have a maximum temperature of 34 degrees or higher?
This is 1 subtracted by the pvalue of Z when X = 34. So



has a pvalue of 0.9616
1 - 0.9616 = 0.0384
3.84% of months would have a maximum temperature of 34 degrees or higher
Answer:
Theatre C.
Step-by-step explanation:
Theatre A:
60 of the 80 seats are taken.
% seats taken = seats taken/total seats * 100
= 60/80 * 100
= 75%
Theatre B:
Total seats = number of seats taken + number of empty seats
= 42 + 18
= 60
% seats taken = seats taken/total seats * 100
= 42/60 * 100
= 70%
Theatre C:
Total seats = number of seats taken + number of empty seats
90 = X + 18
X = 72
% seats taken = seats taken/total seats * 100
= 72/90 * 100
= 80%
Theatre C with 80% of seats taken.
Answer:
x = 4
Step-by-step explanation:
All of the sides are the same so every angle is 17x-8.
Every triangle adds up to 180 degrees.
3(17x-8)=180
51x-24=180
+24 +24
51x=204
x= 4