The last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
A few fundamental principles apply to density curves:
- A density curve's area beneath it represents probability.
- A density curve's area under it equals one.
- Base x height in a uniform density curve equals one.
- The likelihood that x = a will never occur.
- The likelihood that x < a is the same as that of x ≤ a.
Following the rules above, we can see from graph B that the curve is above the horizontal axis. That shows that the probabilities are positive which is a necessity. Moreover, the area under the curve must also be 1. That is also satisfied.
Hence, the last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.
Learn more about density curves here-
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Step :
5 x (-4) - 1 x 13 -20 - 13 -33
--------------------- = ---------- = -----
2 x 5 + 1 11 11
Ans ; -33/11
Lets say that Williams current age is x, since it is currently unknown
From here we know that in 15 years (x+15) he will be 3 times his age 5 years prior (3x-5). Thus we can set these equations up as equal to one another
1) x + 15 = 3(x - 5)
2) x + 15 = 3x-15
3) 30= 2x
4) 15 = x
5) Now this age is his current age of 15 years, but they also want his age 15 years from now
The equation is x + 15 = 3(x - 5)
This should be correct now, sorry for the misconception. Good luck
Answer:
40 students
Step-by-step explanation:
We do not count the counselors or the principal because they are not students, so we do 83 - 3 = 80, now it is just simple division, for every student there is a parent, so we divide 80 in half, 80 / 2 = 40 students :D
Part A ) The equation is W = $ 6x where x ≤ 40, <span>W is the amount of wage earned and x hours in a week when there is no overtime.
Part B) </span>The equation is W = $ 6*40 + $9 y =$ 240 + $9 y where <span>y as the overtime hours = total number of hrs - 40.
Part C) </span>$ 240 + $9 y = $330. y is 10 hrs. Hence the total hours is 50 hrs.
