Answer: 0.9332.
Step-by-step explanation:
Claim : College Algebra final exam score of engineering majors equal to 88.
Given that : The test statistic is z equals to 1.50.
To find the p-value (Probability value), we use standard normal distribution table, and search the p-value corresponds to the z-score.
In a Standard Normal Distribution Table below, the p-value corresponds z equals 1.5 is 0.9332.
Hence, the p-value is 0.9332.
Answer:
13,456
Step-by-step explanation:
Tn= a+(n-1)d
a is the first term, n is the given number and d is the common difference. d is given by subtracting the first term from the second term or the second from the third. Therefore the the 59th term of the sequence 29, 37, 45 is,
Tn= 29+(59-1)8
=29(58)8
=13,456
Answer:
It's D.
Step-by-step explanation:
The shorter period loan has the same total interest for the same loan amount, so it has the higher effective interest rate: 80/12 is higher than 89/14.
Answer:
C. ![B(x,y) = \left(3,-\frac{16}{3} \right)](https://tex.z-dn.net/?f=B%28x%2Cy%29%20%3D%20%5Cleft%283%2C-%5Cfrac%7B16%7D%7B3%7D%20%5Cright%29)
Step-by-step explanation:
Let
,
and
. From statement we know that
, which is equivalent to the following linear algebraic formula:
(1)
![B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)](https://tex.z-dn.net/?f=B%28x%2Cy%29-A%28x%2Cy%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20C%28x%2Cy%29-%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20B%28x%2Cy%29)
![\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Ccdot%20B%28x%2Cy%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20C%28x%2Cy%29%2BA%28x%2Cy%29)
(2)
Then, the coordinates of point B on AC are:
![B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)](https://tex.z-dn.net/?f=B%28x%2Cy%29%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%28-3%2C-2%29%2B%5Cfrac%7B2%7D%7B3%7D%5Ccdot%20%286%2C-7%29)
![B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)](https://tex.z-dn.net/?f=B%28x%2Cy%29%20%3D%20%5Cleft%28-1%2C%20-%5Cfrac%7B2%7D%7B3%7D%5Cright%29%2B%5Cleft%284%2C%20-%5Cfrac%7B14%7D%7B3%7D%20%5Cright%29)
![B(x,y) = \left(3,-\frac{16}{3} \right)](https://tex.z-dn.net/?f=B%28x%2Cy%29%20%3D%20%5Cleft%283%2C-%5Cfrac%7B16%7D%7B3%7D%20%5Cright%29)
Which means that correct answer is C.
Answer:
Coordinate Q is (0.8, 0.7)
Step-by-step explanation:
We are told that the coordinates of point Pare (0.6,0.1).
This means that along the x-axis, x = 0.6 and along the y-axis, y = 0.1.
Now, by inspection of the graph, we can see that when we count boxes from the origin to the point P, we have 6 boxes. Thus, each box corresponds to 0.1. So, for point Q, from the origin to that point, on the x-axis, we have 8 boxes. Since one box = 0.1, then the x - value of Coordinate Q is 0.8.
On the y - axis, we see that we have one box from the origin up for the corresponding y-value of coordinate P.
This means that one box is 0.1.
For coordinate Q, we will count 7 boxes. Thus, y-value of coordinate Q is 0.7.
Thus,coordinate Q is (0.8, 0.7)