Answer:8
Step-by-step explanation:
X+56=x^2
X^2-x-56=0
X^2-8x+7x-56=0
X(x-8)+7(x-8)=0
(X+7)(x-8)=0
X+7=0 or x-8=0
X=-7 or x=8
Answer:
Translation because translation is sliding an object.
The circle area can be defined as x2 + y2 < 3.46^2.
For point M, x2 + y2 = 13.
Since 3.46^2 is about 12, point M is outside the circle!
Answer:
1 34
2 45
3 23
Step-by-step explanation:
Answer: (72.535, 76.665)
Step-by-step explanation:
The confidence interval for population mean is given by :-

, where
= population standard deviation.
n= Sample size
= sample mean.
= Critical z-value (two-tailed)
Given : 
n= 81

The critical values for 90% confidence interval : 
Now, the confidence interval for population mean would be :

Hence, a 90 percent confidence interval estimatefor the average score of all students. : (72.535, 76.665)