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Andrews [41]
2 years ago
8

A binomial discrete random variable, X has a mean

Mathematics
1 answer:
kompoz [17]2 years ago
5 0

Since <em>X</em> follows a binomial distribution, its mean and variance are

<em>np</em> = 3

<em>np</em> (1 - <em>p</em>) = 2

Substitute <em>np</em> = 3 in to the second equation to solve for <em>p</em> :

3 (1 - <em>p</em>) = 2

1 - <em>p</em> = 2/3

<em>p</em> = 1/3

Solve for <em>n</em> :

<em>n</em> (1/3) = 3

<em>n</em> = 9

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Mrs.Stephan took her children to pick out pumpkins. Carter picked out a pumpkin priced $20,and Isabelle picked out a pumpkin pri
Fynjy0 [20]
He paid 20 + 13, so 33 for the pumpkins and now you need to add the tax.

To compute the TAX ONLY, you would multiply 0.07 ( which is 7%) by 33, and you get $2.31. So the final cost with tax would be $33+ $2.31= $35.31

An easier way to compute total cost with the tax included would be to multiply $33 by 1.07, and you get the same answer as above, $35.31.

Do you see the difference? Some questions will ask for the amount of tax only, others will ask for the amount paid including tax.
3 0
3 years ago
Jimmy is putting up a fence around his rectangular garden. One side of the garden is 20 feet long, and b represents the width
kondor19780726 [428]

Answer:

(40+2b)cm

Step-by-step explanation:

Complete question

Jimmy is putting up a fence around his rectangular garden. One side of the garden is 20 feet long, and b represents the width, How much fencing material will he need.

To get the amount of fencing material needed, we will find the perimeter of the fence

perimeter of the fence = 2(L+W)

L is the length

W is the width

Given

Length = 20feet

Width = b feet

perimeter of the fence = 2(20+b)

perimeter of the fence = 2(20) + 2b

perimeter of the fence = 40+2b cm

Hence the amount of material needed will be (40+2b)cm

3 0
2 years ago
The cost of putting in automatic sprinklers for a lawn largely depends upon the length of Poole that must be laid. The controlle
OLga [1]

Answer:

c(F) = 135 + 2.5F

Step-by-step explanation:

We are given the following in the question:

Controller cost = $135

System cost = $2.50 per foot of pipeline

The total cost depends upon the length of Pole.

Let the system requires F feet of pipeline.

Total cost will be given by the equation:

c(F) = \text{Controller cost + System cost(Feet of pipeline required)}\\c(F) = 135 + 2.5F

is the required expression for total cost

F: feet of pipeline required

c(F): Total cost of installation

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3 years ago
C ( , )D ( , ) E ( , ) F ( , )
Alex777 [14]

As shown in the question, the translation changes the points as follows:

(x,y)\rightarrow(x+2,y-2)

Therefore:

\begin{gathered} C(-5,-1)\rightarrow C^{\prime}(-3,-3) \\ D(-4,3)\rightarrow D^{\prime}(-2,1) \\ E(-3,2)\rightarrow E^{\prime}(-1,0) \\ F(-2,0)\rightarrow F^{\prime}(0,-2) \end{gathered}

8 0
1 year ago
Help me with this problem plz
katrin [286]
4.43

To find the mean (average) # of sick days taken, you add all the numbers, then divide by the number of employees.

31 ÷ 7 = 4.4285714286 or aprox. 4.43
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3 years ago
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