Answer:
$6,326.60
Step-by-step explanation:
A = P (1 + r/n)^(nt)
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for
Answer:
(4,2)
Step-by-step explanation:
-3x+5y=-2
3x+7y=26
I will add the two equations to eliminate x
-3x+5y=-2
3x+7y=26
---------------------
0x + 12y = 24
Divide by 12
12y/12 = 24/12
y =2
Now find x
3x+7y =26
3x+7*2 =26
3x+14= 26
Subtract 14 from each side
3x+14-14 =26-14
3x= 12
Divide by 3
3x/3 =12/3
x=4
X is equal to 10 and y is equal to 2.
Answer:
c. 0.136.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 110, \sigma = 15](https://tex.z-dn.net/?f=%5Cmu%20%3D%20110%2C%20%5Csigma%20%3D%2015)
The proportion of infants with birth weights between 125 oz and 140 oz is
This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So
X = 140
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{140 - 110}{15}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B140%20-%20110%7D%7B15%7D)
![Z = 2](https://tex.z-dn.net/?f=Z%20%3D%202)
has a pvalue of 0.977
X = 125
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{125 - 110}{15}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B125%20-%20110%7D%7B15%7D)
![Z = 1](https://tex.z-dn.net/?f=Z%20%3D%201)
has a pvalue of 0.841
0.9772 - 0.841 = 0.136
So the correct answer is:
c. 0.136.
Answer:
The line that represents the problem has a slope of ____<u>2</u>______, a y-intercept of ____<u>15</u>______, and an equation of _<u>y = 2x + 15</u>__ .
Step-by-step explanation:
The fixed charge is the y-intercept.
The cost of each movie is the slope.
The line that represents the problem has a slope of ____<u>2</u>______, a y-intercept of ____<u>15</u>______, and an equation of _<u>y = 2x + 15</u>__ .