Answer:
Probability that the calculator works properly for 74 months or more is 0.04 or 4%.
Step-by-step explanation:
We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.
Firstly, Let X = life span of a calculator
The z score probability distribution for is given by;
Z = 
~ N(0,1)
where, 
= population mean = 60 months
= standard deviation = 8 months
Probability that the calculator works properly for 74 months or more is given by = P(X 
74 months)
P(X 74) = P( 
) = P(Z 1.75) = 1 - P(Z < 1.75)
= 1 - 0.95994 = 0.04
Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.
You are given the formula
m = (y2-y1)/(x2-x1)
You can pick any two points on table
Let’s choose (9,2) and (3,-2)
Plug in the values into formula
m = (-2-2)/(3-9)
m = -4/-6
Simplify: m = 2/3
Solution: m = 2/3
Answer:
To most closely estimate the difference, I would round 62,980 to the nearest thousand, so it will be 63,000. That is because when rounding, 63,000 is large enough so that adding will be easy, and 62,980 is relatively close to 63,000.
I would round 49,625 to the nearest thousand, since it would make the subtraction easier and 49,625 is only 375 units away from 50,000.
63,000 - 50,000 = about 13,000.
Hope this helps!
Answer:
1. x = 21
2. m∡ABC = 51°
Step-by-step explanation:
First problem, solve for x
the sum of inside angles of a triangle is 180
also the supplementary angle for L = 180 - 100 is 80°
now you can add all angles
80 + 2x - 11 + 2x + 27 = 180
4x + 96 = 180
4x = 84
x = 21
Second problem, solve for m∡ABC
the sum of inside angles of a triangle is 180
also the supplementary angle for C = 180 - 148 is 32°
now you can add all angles
31 + 2x - 15 + x - 5 = 180
3x + 12 = 180
3x = 168
x= 56,
now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°
Answer:
republicans
Step-by-step explanation:
Given, there are 60% democrats and republicans 40%
60% of the democrats voted for democrats and 95% of the republican voted for their candidate
therefore
% of votes that went for Democrats =0.6*0.6=0.36
= 36%
% of votes that went for Republics=0.4*0.95=0.38
= 38%
Since the republicans have more % of votes thus Republic's mayor runs city hall.
