Answer:
221
Step-by-step explanation:
Make a proportion.
182/14 = x/17
182 x 17 divided by 14 is 221
I think the smallest sides correspond to the smallest angle measurement. So the smallest side would be UT and then VT and then UV.
y≥25x+2000
because the +2000 is the y intercept ( where he started) and its 25x because he gets 25 over x amount of weeks
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have
. So



Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have
.



Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have
.



Due to the higher Z-score, Demetria should be offered the job.
Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2