Answer:
Slope = 2, and y intercept = -5
Answer:
102
Step-by-step explanation:
We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:
z = (x - m) / sd
In the first case x = 148:
z = (148 - 128.5) /8.2
z = 2.37
In the second case x = 102:
z = (102 - 128.5) /8.2
z = -3.23
In the first case x = 152:
z = (152 - 128.5) /8.2
z = 2.86
The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.
1. 10 + 6(-9-4x)=10(x-12)+8
2.10 +-45-24x=10x-120+8
3.10 +7 = 34x -120 +8
4.17=34x-120+8
5.17=34x +128
6. 34x=115
7.x= 0.29565217391
The lateral area of the prism equals to height * perimeter of the base. So the lateral area is 160 cm2. And the surface area of the prism equals to the area of the base*2+the lateral area= 202 cm2.
The easy thing to do is eliminate x by subtraction
x + 7y = 24
- x - 9y = -24
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16y = 48
now solve for y and then substitute the value into either original equation to find x