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olasank [31]
3 years ago
6

There are two species of plants that live along the ridge line of Old Rag, which is a mountain here in Virginia. The probability

of observing the first species is 0.61, while the probability of observing the second species is 0.08. The probability of observing them growing together (i.e. right next to one another) is 0.28. When you go for a hike along this ridge line, what is the probability of observing one species or the other but not both together
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Answer:

0.13

Step-by-step explanation:

First let's find the probability of finding the first species or the second species:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.61 + 0.08 - 0.28

P(A or B) = 0.41

Then, to find the probability of finding one or another but not both, we just need the symmetric difference of the events, that is: P(A or B) - P(A and B):

P(A or B) - P(A and B) = 0.41 - 0.28 = 0.13

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You have 10 boxes and you shade 3 of the boxes what is the fraction of that.
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If you have 10 boxes and you shade 3 of these boxes, then the fraction of shaded boxes is 3/10.  The fraction of unshaded boxes would just be the remainder of boxes, or 7/10.
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There were 462 people sitting in the audience. Round the number of people to the nearest hundred.
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500
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3 years ago
A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form
stealth61 [152]

Answer:

y=2x+5

Step-by-step explanation:

The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.

Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;

m=change is y-coordinates/change in x-coordinate

m=Δy/Δx

m=y-3/x--1

2= y-3 / x+1

2(x+1) = y-3

2x +2 =y-3

2x=y-3-2

2x=y-5

<u>y=2x+5 is the equation.</u>

7 0
3 years ago
If -3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
VashaNatasha [74]

Step-by-step explanation:

3 - 1

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4 0
3 years ago
The percentage of obese children aged 12-19 years in the United States is approximatelyP(t) = 0.04t + 4.6 if 0 ≤ t &lt; 10−0.010
Art [367]

Answer:

4.8% of of obese children aged 12-19 at the beginning of 1975.

9.15% of obese children aged 12-19 at the beggining of 1986

13.94% of obese children aged 12-19 at the beggining of 1995

Step-by-step explanation:

The percentage of obese children aged 12-19 years in the United States is given by the following piecewise function:

P(t) = \left \{ {{0.04t + 4.6, 0 \leq t < 10}\atop {-0.01005t^{2} + 0.945t - 3.4, 10 \leq t < 30}} \right.

In which t is measured in years.

What was the percentage of obese children aged 12-19 at the beginning of 1975?

This is the value of P when t = 5, so P(5).

For P(5), we apply the first definition of the piecewise function.

P(5) = 0.04(5) + 4.6 = 0.2 + 4.6 = 4.8

At the beginning of 1986?

The value of P when t = 16, so P(16).

For P(16), we apply the second definition of the piecewise function.

P(16) = -0.01005(16)^{2} + 0.945(16) - 3.4 = 9.15

At the beginning of 1995?

The value of P when t = 25, so P(25).]

For P(25), we apply the second definition of the piecewise function.

P(16) = -0.01005(25)^{2} + 0.945(25) - 3.4 = 13.94

6 0
3 years ago
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