Answer:
-3/14
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-5)/(11-(-3))
m=-3/(11+3)
m=-3/14
Let
x------> amount of money Theo has
y------> amount of money Denise has
z------> amount of money Rudy has
we know that
x+y+z=$45-----> equation 1
x=5+y-----> equation 2
y=11+z----> equation 3
substitute equation 2 in equation 1
[5+y]+y+z=45-------> 2y+z=40-----> equation 4
y=11+z----> equation 3
2y+z=40-----> equation 4
resolves the equations system
using a graph tool
see the attached figure
the solution is
y=17
z=6
x=5+y----> x=5+17----> x=22
the answer is<span>
Denise has $17</span>
Answer:
D. A value of 0.9 is more than 2 standard deviations from the mean
Step-by-step explanation:
In the figure attached, the distribution of data is shown.
From the picture we can see that:
- The data has a standard deviation of 0.15 (= 0.5 - 0.35 = 0.65 - 0.5)
- The mean of the data is 0.5
- A value of 0.7 is more than 1 standard deviation of the mean.
- A value of 0.9 is more than 2 standard deviations from the mean (0.8 is 2 standard deviations from the mean)
X = 180 - 42 - 73 = 65 degrres
y = 180 - 131 = 49 degrees
< z = 65 + 49 = 114 degrees (answer).
The answer would be C because b=+16 which means that it intercepts line y at 16, which is shown in the graph.