Answer:
Step-by-step explanation:
Number of phones broken = 3
Number of phones not broken = 15
Total number of phone in the shipment = 18
Since a not broken phone has been randomly selected, the number of phones not broken reduces to 14. And the total number of phones would be 17.
Pr(of newly selected phone NOT broken) =
=
Therefore, the probability of the selected phone not being broken is .
Answer:
Assuming the variable is included under the radical,
-40k²√(10)
Step-by-step explanation:
First we will simplify the first factor,
We will write 20 as a product of factors:
We know the square root of 2 is 2, so we pull a 2 out:
Now we will simplify the second factor,
We will rewrite 8 as a product of factors, as well as the variable:
The square root of 2 is 2, so we pull a 2 out. Additionally, the square root of k² is k, so we pull that out:
This gives us the product
Multiplying the coefficients, we have
Multiplying the two radicals, we have
The square root of k² is k, so we pull a k out, leaving
Answer:
Step-by-step explanation:
We are given;
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
y = 3x -3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;
Thus;
In the form of slope-intercept, the equation will be;
Thus, the equation of the line is;