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Rama09 [41]
3 years ago
7

Which probability formulas are always true for any events A and B.

Mathematics
1 answer:
zhenek [66]3 years ago
6 0
P(A U B) = P(A) + P(B) - P(A and B)

P(A | B) = P(A and B) / P(B)
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The number of gnats G(x), in millions, in a certain area depends on the May rainfall x, in inches. That relationship can be expr
puteri [66]

Answer:

9 inches of rainfall produces the maximum number of gnats.

Step-by-step explanation:

Given : G(x) = - x^2 + 18x

To Find :How many inches of rainfall produces the maximum number of gnats?

Solution:

G(x) = - x^2 + 18x

G(x) =The number of gnats in millions.

x denotes the length of rainfall

To Find the maximum length find the mid point of zeroes .Since parabolas are symmetrical, the x value of the max falls 1/2 way between the zeros.

0= - x^2 + 18x

0= x^2-18x

0= x(x-18)

So, x = 0 , x= 18

Now Formula of midpoint : x=\frac{x_1+x_2}{2}

x=\frac{0+18}{2}

x=9

Hence 9 inches of rainfall produces the maximum number of gnats.

8 0
4 years ago
Decimal representation of rational number 8by 27 is what??
irakobra [83]

Answer:

8/27 is represented in decimal as 0.2962962963

4 0
3 years ago
Read 2 more answers
The sum of three times a number and 2 less than 4 times that same number is 15. Which of the following equations could be used t
Ket [755]

3n + (4n - 2) = 15

is how this equation would be displayed.

Now let's solve for x.

We can distribute a 1 to each term in the parentheses (which doesn't do much) to allow us to combine like terms.

3n + 4n - 2 = 15

Combine like terms.

7n - 2 = 15

Add 2 to both sides.

7n = 17

Divide both sides by 7.

n = 17/7


8 0
4 years ago
If 4g^2 -1= 16h^2 -1, what is the value of g in terms of h?<br> Plz explain
ale4655 [162]

Answer:

g = ±2h

Step-by-step explanation:

4g^2 -1= 16h^2 -1

Add 1 to each side

4g^2 -1+1= 16h^2 -1+1

4g^2 = 16h^2

Divide each side by 4

4/4g^2 = 16/4h^2

g^2 = 4 h^2

Take the square root of each side

sqrt(g^2) = ±sqrt(4h^2)

g = ±sqrt(4h^2)

g = ±2h

5 0
3 years ago
Hi pls double check my work. My teacher says it’s wrong but I don’t know where
ivann1987 [24]

Answer:

1.56

Step-by-step explanation:

Don't forget your decimal placement. other than that you are correct I believe

5 0
3 years ago
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