The correct statement regarding the conditional probability P(B|M) is given by:
P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The conditional probability P(B|M) is the probability of B given that M, that is, the probability of a vehicle that has driven many miles being blue.
Researching the problem on the internet, it is found that of the 94 vehicles that have driven many miles, 34 are blue, hence:
P(B|M) = 34/94 = 0.36.
Hence the correct option is given by:
P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
This question is basically asking you to plug in 5 as x:
f(x) = 4x^2 - 5
f(5) = 4(5)^2 - 5
f(5) = 4(25) - 5
f(5) = 100 - 5
f(5) = 95
Hope this helps!