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Nesterboy [21]
3 years ago
6

Is an equation used to compute probabilities of continuous random variables

Mathematics
1 answer:
liraira [26]3 years ago
8 0
A probability<span> density function is an </span>equation used to compute probabilities of continuous random variables<span>.</span>
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A group of 50 mothers were asked how many children they have. the
igor_vitrenko [27]

Answer:

4/25

Step-by-step explanation:

total no of children-15

total no of mothers-50

probability that a mother has i child

1/50

=8/50

=4/25

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2 years ago
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8x + 42 = 90
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Explain how to solve 2^x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution
elena55 [62]

Answer:

x=2.170

Step-by-step explanation:

The given equation is 2^{x+1}=9.

We take logarithm of both sides to base 2 to get:

\log_2(2^{x+1})=\log_29

Apply the power rule of logarithms to get:

x+1=\log_29

We now apply the change of base formula:

x+1=\frac{\log_{10}9}{\log_{10}2}

x+1=\frac{0.9542}{0.3010}

x+1=3.1701

x=3.1701-1

x=2.1701

To the nearest thousandth, x=2.170

7 0
3 years ago
A toy manufacturer uses 90 pints of plastic to make 600 action figures. If they use 810 pints of plastic in an 8 hour shift, how
lutik1710 [3]

Answer:

The number per hour = 5400 ÷ 8 = 675 action figures

Step-by-step explanation:

* Lets explain how to solve the problem

- A toy manufacturer uses 90 pints of plastic to make 600 action figures

- they use 810 pints of plastic in an 8 hour shift

- To find how many action figures are made per hour we must to find

  how many action figures in an 8 hour shift and then find the number

  of the action figures per hour

∵ The toy manufacture  uses 90 pints of plastic to make 600 action

   figures

∵ They use 810 pints

- Lets find how many action figures are made by this numbers of pints

∴ 90/600 = 810/x ⇒ x is the number of action figures

- Use the cross multiplication to find x

∴ 90 x = 810 × 600

∴ 90 x = 486000 ⇒ divide both sides by 90

∴ x = 5400

∴ They will use 810 pints to make 5400 action figures

∵ They use 810 pints in an 8 hour shift

∴ They make 5400 action figures in 8 hours

- To find the number of the action figures per hour divide the number

  of them in 8 hours by 8

∴ The number per hour = 5400 ÷ 8 = 675 action figures

8 0
3 years ago
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