Answer:
x=9.25
Step-by-step explanation:
ABD + CBD + ABC + 180
70 + 5x + 13 + 3x + 33 =180
116 + 8x = 180
8x = 74
x = 9.25
I saw this question, i think it’s D) 12
Are you familiar with z-scores? According to the definition,
(given numerical value) - (mean)
z = ---------------------------------------------
standard deviation
Thus, with the given numerical value equal to 410 and the std. dev. equal to 75, the corresponding z-score is
410-500 -90
z = --------------------- = --------------- = -1.2
75 75
Use a table of z-scores to determine the area under the standard normal curve to the left of z = -1.2. Your result is the probability that a given family chosen at random spends less than $410 per month.
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-6, -1) and (-6, 4).
Substitute:
![m=\dfrac{4-(-1)}{-6-(-6)}=\dfrac{4+1}{-6+6}=\dfrac{5}{6}\ !!!](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B4-%28-1%29%7D%7B-6-%28-6%29%7D%3D%5Cdfrac%7B4%2B1%7D%7B-6%2B6%7D%3D%5Cdfrac%7B5%7D%7B6%7D%5C%20%21%21%21)
Dividing by 0 is not possible, therefore the slope is undefined.
<em>It's a vertical line x = -6</em>.