Answer:
x-intercepts = (-3/4, 0)
y-intercepts = (0, 3/7)
Step-by-step explanation:
Combine like terms to get 2x + 6x which is 8x and 3y + 9y which is 12y so the simplified answer is 8x + 12y
Number of seats = 42
Seats per row x row = 1302
s x r = 1302
rows + 11 = seats per row
r + 11 = s
s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31
Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42
Check: 31 x 42 = 1302 :)
Answer:
$49,893.6
Step-by-step explanation:
$555.26/mo(30yr)(12 mo/yr) - $150000 = $49,893.6
Answer:
36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
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:

Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.
X = 81



has a pvalue of 0.6844
X = 69



has a pvalue of 0.3156
0.6844 - 0.3156 = 0.3688
36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.