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marin [14]
3 years ago
14

6. A two-story building measures 21 feet

Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:

11.5 inches

Step-by-step explanation:

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A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to
melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}

Mean of X:

E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42

Variance of X:

E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}

var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58

5 0
3 years ago
X and y are positive integers. explain why incorrect to claim that
dedylja [7]

You can find counterexamples to disprove this claim. We have positive integers that are perfect square numbers; when we take the square root of those numbers, we get an integer.

For example, the square root of 1 is 1, which is an integer. So if y = 1, then the denominator becomes an integer and thus we get a quotient of two integers (since x is also defined to be an integer), the definition of a rational number.

Example: x = 2, y = 1 ends up with \frac{2}{\sqrt{1}} = \frac{2}{1} which is rational. This goes against the claim that x/\sqrt{y} is always irrational for positive integers x and y.

Any integer y that is a perfect square will work to disprove this claim, e.g. y = 1, y = 4, y= 9, y = 16. So it is not always irrational.

4 0
3 years ago
Please help. Also please show your work. Y/5 - 2/5
Maurinko [17]

Answer:

0.2(y-2)

Step-by-step explanation:

factor out 1/5 from the expression

1/5×(y-2)

0.2(y-2)

8 0
3 years ago
20 POINTS IF YOU SOLVE!
Orlov [11]
Question 1: D

Question 2:D

Question 3: C

Question 4: A

Question 5: D
5 0
3 years ago
Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a
Minchanka [31]

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776  -  $1350 = $426

Tyrone markup rate = 426/24 = $17.75  per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248  - $950  = $298

Terri markup rate = 298/24 = $12.4166666667  = $12.42 per month

6 0
3 years ago
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