The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
Given: The times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 40 minutes and 65 minutes.
It can be deduced that the probability that a randomly selected cable repair visit will take at least 43 minutes will be calculated thus:
= 1 - [(43 - 40)/(65 - 40)
= 1 - 0.12
= 0.88
Hence, The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
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Answer:
Identity property of multiplication
Step-by-step explanation:
From step 5:
Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.
Step 6:
According to the identity property of multiplication, any value you multiply by 1 gives you that same value.
Therefore, 1x = 1 × x = x.
The variable x multiplied by 1 will give you x.
Answer:
x=5/13
Step-by-step explanation:
2/3+7/2=9x+5/6+4x
2/3+7/2-5/6=9x+4x
lcm of 2,3,6=6
2/3=4/6 7/2=21/6 5/6=5/6
4/6+21/6-5/6=9x+4x
30/6=13x
5=13x
x=5/13
Answer:
points (8, 0) and (3, 0)
Step-by-step explanation:
Here we're being asked to find the roots of this quadratic equation.
Set f(x) = 3(x² - 11x + 24 = 0.
This factors into f(x) = 3(x - 8)(x - 3) = 0.
Then x - 8 = 0 and x - 3 = 0, yielding x = 8 and x = 3. These correspond to the points (8, 0) and (3, 0).
