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DerKrebs [107]
2 years ago
11

A small-business Web site contains 100 pages an 60%, 30%, and 10% of the pages contain low, moderate, an high graphic content, r

espectively. A sample of four pages selected without replacement, and X and Y denote the numb of pages with moderate and high graphics output in sample. Determine: fx(x)
Mathematics
1 answer:
Karolina [17]2 years ago
8 0

Answer:

fx(x)=[(4! /(x!)*(4-x)!]*[(0.3) ^x]*[(0.7) ^ (4-x)]

Step-by-step explanation:

F(x) is been calculated by considering X (moderate) as one outcome and low and high combined as one outcome now probability function will be same as binomial distribution

F(x) = [(4! /(x!)*(4-x)!]*[(0.3) ^x]*[(0.7) ^ (4-x)]

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Suppose Cotangent (theta) = StartFraction 5 Over 12 EndFraction, where Pi less-than theta less-than StartFraction 3 pi Over 2 En
Agata [3.3K]

Answer:

Sin theta = 12/13

Step-by-step explanation:

From the question;

Cot theta = 5/12

Kindly recall;

Cot theta = 1/ tan theta

Hence, tan theta = 12/5

Mathematically

tan theta= opposite/adjacent

to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides

let hypotenuse be h

h^2 = 12^2 + 5^2

h^2 = 144 + 25

h^2 = 169

h = √169

h = 13

But sine theta = opposite/ hypotenuse = 12/13

5 0
2 years ago
Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multip
defon

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

4\text{ quarts}=1\text{ gallon}

1\text{ quarts}=\dfrac{1}{4}\text{ gallon}

6\text{ quarts}=\dfrac{6}{4}\text{ gallon}

Here, 6 quarts is equal to \dfrac{6}{4} gallon. It means we need to multiply 6 by 4 in 4\text{ quarts}=1\text{ gallon} to find the answer.

5 0
3 years ago
Mark did 2/5 of a job and Alan did 1/3 of the remainder. The fraction of the job left undone
Evgesh-ka [11]
2/5=4/10=12/30 1/3=10/30 12/30+10/30=22/30 22/30=11/15
4 0
3 years ago
If four out of ten people vote than a town with two hundred thousand people how many will vote
oksano4ka [1.4K]

Answer:

80,000 people will vote. I'm pretty sure

Step-by-step explanation:

You first divided 200,000 by 10 then multiply it by 4 and you get 80,000. You're welcome, if its right.

3 0
3 years ago
Read 2 more answers
A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much
astraxan [27]

Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99

Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

8.99x + 3.99y \leq 60 ;......[1]         where x, y are natural number.

x-intercept:

Substitute the value y= 0  in [1] and solve for x;

8.99x + 3.99(0) \leq 60

8.99x \leq 60

Simplify:

x \leq 6.667

Since, x is in natural number;

x \leq 7

Similarly.

For y-intercept:

Substitute the value x= 0  in [1] and solve for x;

8.99(0) + 3.99y \leq 60

3.99y \leq 60

Simplify:

y \leq 15.037

y \leq 15

Therefore, we have

8.99x + 3.99y \leq 60 ;

2\leq x\leq 7 and  0\leq y\leq 15

8 0
3 years ago
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