A somewhat disorganized hiker forgets to bring his insect repellant on 30% of his hikes. The probability of being bitten is 90% if he forgets the repellant and 20% if he uses the repellant. What is the probability that he will be bitten

41% probability that he will be bitten

Step-by-step explanation:

We have these following probabilities:

A 30% probability that the hiker does not bring the repellant.

A 100-30 = 70% probability that the hiker brings the repellant.

If he brings the repellant, a 20% probability of being bitten.

If he forgets the repellant, a 90% probability of being bitten.

What is the probability that he will be bitten

Two cases:

Bitten with the repellant(20% of 70%)

Bitten without the repellant(90% of 30%). So

P = 0.2*0.7 + 0.9*0.3 = 0.41

41% probability that he will be bitten

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

hope this is what you were asking for!

step-by-step explanation: