First you plug 10 into g(x)
(10-4)
6
Next you plug in 6 into f(x)
6^2+1
36+1
=37
3/4 hour = 45 minutes
45 × 6 = 270 minutes
270 ÷ 60 = 4.5 hours
4.5 hours = 4 hours 30 minutes = 4 1/2 hours
Answer:
y = 8
x = 11.3
option 2
Step-by-step explanation:
We can recognize this right triangle as a special triangle, a 45° - 45° - 90° triangle more specifically. This triangle would be isosceles because the two base angles are both 45°. Since the triangle is isosceles, we can say that the legs are congruent, so y = 8. In a 45° - 45° - 90° triangle, the hypotenuse is √2 times the legs. To find x, we can set up the equation:
8 * √2 =x
x = 8√2 or about 11.3
Answer:
Due to the higher z-score, Jane did better in class.
Step-by-step explanation:
Z-score:
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:
Whoever's grade had the better z-score did better in class.
Mary's:
Mean of 85, standard deviation of 5, grade of 88. This means that
. So



Jane's
Mean of 80, standard deviation of 10, grade of 88. This means that
. So



Due to the higher z-score, Jane did better in class.
Answer:
72
Step-by-step explanation:
216/3=72 in each bus.