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ExtremeBDS [4]
3 years ago
7

Probability and Statistics

Mathematics
1 answer:
saw5 [17]3 years ago
4 0

A random variable can be either discrete or continuous. It is discrete it can assume only a finite number of values, or a countable infinity of values at most.

It is continuous if it can assume values in an interval, or in general, an uncountable infinity of values.

That being said, we have:

Option A is a discrete random variable, because the number of heads in 5 throws can be 0, 1, 2, 3, 4 or 5. So, we have finitely many possible values.

Option B is a discrete random variable, because the number you roll on a die is either1, 2, 3, 4, 5 or 6. So, we have finitely many possible values.

Option C is a discrete random variable, because if there are n students in a class, the number of boys is an integer between 0 and n. So, we have finitely many possible values.

Option D is finally a continuous random variable, because the height of a 10-year-old can be any number (in a suitable range of course).

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What's the answer for this question? (The numbers after the letters are indexes btw) 27a9 x 18b5 x 4c2 Over 18a4 x 12b2 x 2c
zysi [14]

Answer:

\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c

Step-by-step explanation:

Given

\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}

Required

Simplify

\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c}

Cancel out 18

\frac{27a^9 * b^5 * 4c^2 }{a^4 * 12b^2 * 2c}

Divide 4 and 2

\frac{27a^9 * b^5 * 2c^2 }{a^4 * 12b^2 *c}

Divide 27 and 12 by 3

\frac{9a^9 * b^5 * 2c^2 }{a^4 * 4b^2 *c}

Apply law of indices

\frac{9a^{9-4} * b^{5-2} * 2c^{2-1} }{4}

\frac{9a^5 * b^3 * 2c }{4}

Divide 2 and 4

\frac{9a^5 * b^3 * c}{2}

\frac{9a^5b^3c}{2}

Rewrite as:

\frac{9}{2}a^5b^3c

Hence:

\frac{27a^9 * 18b^5 * 4c^2 }{18a^4 * 12b^2 * 2c} = \frac{9}{2}a^5b^3c

4 0
3 years ago
if 7 dancers were at a dance and 46 more came in and h left and there was 13 dancers left how many was h
TEA [102]
<span>If 7 dancers were at a dance and 46 more came in and h left and there was 13 dancers left how many was h
</span>-  h is 70.
5 0
3 years ago
What do you think was the porpuse of this advertisement?​
MariettaO [177]

Answer:

The purpose of advertising is to inform the consumers about their product and convince customers that a company's services or products are the best, enhance the image of the company, point out and create a need for products or services, demonstrate new uses for established products, announce new products and programs.

6 0
3 years ago
Erica can thoroughly analyze the company’s monthly credit card statements
lbvjy [14]

Answer:

240 minutes or 4 hours

Step-by-step explanation:

So if it takes Erica 80 minutes to analyze the company's monthly credit card statements, she will get 30/80 of it done in 30 minutes.

If it takes Alexa 2 hours to analyze the company's monthly credit card statements, she will get 30/120 of it done in 30 minutes.

Add 15 to each of the fractions because they analyze the company's monthly credit card statements with Mack for 15 more minutes.

So you have 45/80 and 45/120.

Now add both fractions by finding the lowest common denominator which is 240.

135/240 + 90/240 = 225/240

So Mack did the remaining 15/240.

Now to find how long it would take him to analyze the company's monthly credit card statements by himself divide 240 by 15 which is 16.

Then multiply

15 x 16 = 240

so it would take him 240 minutes or 2 hours.

3 0
3 years ago
Suppose the Bainters purchase the $150,000.00 home with a 20% down payment, a 30-year mortgage, and an interest rate of 4.2%. An
Elden [556K]

Answer:

  $809.32

Step-by-step explanation:

The loan amount is 80% of $150,000, or $120,000. The monthly payment of principal and interest is $586.82.

The total annual expense for taxes and insurance is $1920 +750 = $2670, so the monthly expense is $2670/12 = $222.50.

Then the total of payments for mortgage and escrow will be ...

  $586.82 +222.50 = $809.32

__

The monthly P&I payment is given by ...

  A = P(i/12)/(1 -(1 +i/12)^(-12t)) . . . . . where i is the annual interest rate, t is the number of years, and P is the amount financed.

  A = $120,000(0.042/12)/(1 -(1 +0.042/12)^(-12·30)) ≈ $586.82

__

A spreadsheet or financial calculator can be useful for calculating payments, though the formula isn't difficult to use.

7 0
3 years ago
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