Y = -5x + 1
x = 1 , y = -4
x = 2 , y = -9
x = 3 , y = -14
so the answers are
(1,-4) 
(2,-9)
(3,-14)
        
             
        
        
        
The 54 percentage of 40 inches is 21.6 inches
        
             
        
        
        
Answer:
a)0.6192
b)0.7422
c)0.8904
d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Step-by-step explanation:
Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then
z(p)= where
 where 
- Me is the margin of error from the mean
- s is the standard deviation of the population
a.
z(p)= ≈ 0.8764
 ≈ 0.8764
by looking z-table corresponding p value is 1-0.3808=0.6192
b.
z(p)= ≈ 1.1314
 ≈ 1.1314
by looking z-table corresponding p value is 1-0.2578=0.7422
c.
z(p)= ≈ 1.6
 ≈ 1.6
by looking z-table corresponding p value is 1-0.1096=0.8904
d.
Minimum required sample size for 0.95 probability is 
N≥ where
 where 
- z is the corresponding z-score in 95% probability (1.96)
- s is the standard deviation (50)
- ME is the margin of error (8) 
then N≥ ≈150.6
 ≈150.6 
Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
 
        
             
        
        
        
Step-by-step explanation:
In triangle,
 <u> XYZ</u>  <u>PYZ</u>
 XZ = PZ = 12cm
 XY = PY = 5cm
 YZ = YZ (Common side)
<em><u>Hence</u></em><em><u>,</u></em>
As three sides of the two triangles are equal so,
<em><u>Triangle XYZ is congruent to Triangle PYZ by SAS congruence condition </u></em>
 
        
             
        
        
        
Answer:
Here's your answer. 
Step-by-step explanation:
Just multiply in