Answer:
c = 4
Step-by-step explanation:
Simplifying
3c + 6 = 18
Reorder the terms:
6 + 3c = 18
Solving
6 + 3c = 18
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3c = 18 + -6
Combine like terms: 6 + -6 = 0
0 + 3c = 18 + -6
3c = 18 + -6
Combine like terms: 18 + -6 = 12
3c = 12
Divide each side by '3'.
c = 4
Simplifying
c = 4
Answer:
Required Probability = 0.01659
Step-by-step explanation:
We are given that the laptop replacement times have a mean of 3.3 years and a standard deviation of 0.6 years i.e.; 3.3 years and = 0.6 years
Sample of 41 is taken i.e. n = 41.
The Z score probability is given by;
Z = ~ N(0,1)
Let X bar = mean replacement time
So, probability that randomly selected laptop have a mean replacement time of 3.1 years or less = P(X bar <= 3.1 years)
P(X bar <= 3.1) = P( <= ) = P(Z <= -2.13) = 1 - P(Z < 2.13)
= 1 - 0.98341 = 0.01659
Therefore, probability that 41 randomly selected laptops will have a mean replacement time of 3.1 years or less is 0.01659 .
Answer:
-2
Step-by-step explanation:
4 × -0.5 = -2
9514 1404 393
Answer:
C. 3
Step-by-step explanation:
AD is perpendicular to BC, so its slope will be the opposite of the reciprocal of the slope of BC.
The slope of BC can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -2)/(3 -(-6)) = -3/9 = -1/3
Then the slope of AD is ...
-1/(-1/3) = 3