suppose the x-axis of a density graph represents someone's height in age. if the area under the density curve from 30 years to 70 years is 0.61, what is the probability of someone's height being anywhere from 30 years to 70 years

Option B - 65%

Step-by-step explanation:

Given : Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches to 70 inches is 0.65.

To find : What is the probability of someone's height being anywhere from 60 inches to 70 inches?

Solution :

The probability percentage of a curve is defined  as the area under the density curve as

P=\int\limits^a_b {e^{f(x)}} \, dx =A

The area under the density curve from 60 inches to 70 inches is 0.65.

So,The probability is equal to the area = 0.65

Therefore, The probability of someone's height being anywhere from 60 inches to 70 inches is 65%.

Hence, Option B is correct.

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c