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goblinko [34]
3 years ago
13

A binomial probability has p=.20 and n=100, what are the mean and standard deviation?

Mathematics
1 answer:
pychu [463]3 years ago
4 0
Mean: np=100\times0.20=20

Standard deviation: \sqrt{np(1-p)}=\sqrt{100\times0.20\times0.80}=4
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Assume that the sales of a certain appliance dealer can be approximaed y sraig were $6000 in 1982 and $ 64,000 in 1987. Let x -
viktelen [127]

Answer:

y=11,600x+6,000

Yearly sales in 1990: $98,800.

Step-by-step explanation:

We have been given that the sales of a certain appliance dealer can be approximated by a straight line. Sales were $6000 in 1982 and $ 64,000 in 1987.

If at 1982, x=0 then at 1987 x will be 5.

Now, we have two points (0,6000) and (5,64000).

\text{Slope}=\frac{64,000-6,000}{5-0}

\text{Slope}=\frac{58,000}{5}

\text{Slope}=11,600

Now, we will represent this information in slope-intercept form of equation.

y=mx+b, where,

m = Slope,

b = Initial value or y-intercept.

We have been given that at x=0, the value of y is 6,000, so it will be y-intercept.

Substitute values:

y=11,600x+6,000

Therefore, the equation S=11,600x+6,000 represents yearly sales.

Now, we will find difference between 1990 and 1982.

1990-1982=8

To find yearly sales in 1990, we will substitute x=8 in the equation.

S=11,600(8)+6,000

S=92,800+6,000

S=98,800

Therefore, the yearly sales in 1990 would be $98,800.

6 0
3 years ago
Adams sister want to watch her intake of fat per day.he estimate that the dinner will have 48grams of fat.what percentage of her
zaharov [31]
You have to figure out what 48 percent of 70 is.
Use the formula percent/of = x/100.
So, 48/70 and x/100 you cross multiply the numbers; 48*100 and 70*x and end up with 70x=4800.
Divide both sides by 70, which gives you 68.57.
Round the number up to 69 percent. 
4 0
3 years ago
What is the service call charge?
atroni [7]

A service call charge or fee is when you are charged a certain amount of money in order for a service technician to perform that specfic service.

6 0
3 years ago
Find the value of x.<br> 3<br> x = [?]
satela [25.4K]

Answer:

12

Step-by-step explanation:

According to Euclidian theorem h^2 = 3*x (h : height)

36 = 3x divide both sides by 3

12 = x

4 0
3 years ago
I can’t figure out how to use the zeros in the polynomial. Please explain
Temka [501]

Answer:

a) P (x) = (x + 3) (x-1) (x-4)

b) P (x) = (2x + 5) (5x - 4) (x-6)

c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

---------------------------------------

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

--------------------------------------

x = 6\\\\(x-6) = 0

--------------------------------------

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

--------------------------------------

x = 1\\\\(x-1) = 0

--------------------------------------

x = 4\\\\(x-4) = 0

----------------------------------------

x = -1\\\\(x + 1) = 0

-----------------------------------------

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

8 0
3 years ago
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