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Nutka1998 [239]
3 years ago
9

In triangle PQR, line PO bisects

Mathematics
1 answer:
Valentin [98]3 years ago
5 0
15.

To find this, here is the work in the photo attached:

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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
1. Trey bought a puzzle priced at $12 and a
Mazyrski [523]

Answer:

$28.08

Step-by-step explanation:

104%×12+104%×15

=$28.08

Hope this helps!!!

7 0
3 years ago
Read 2 more answers
The scores on a psychology exam were normally distributed with a mean of 60 and a standard deviation of 10 . A failing grade on
tensa zangetsu [6.8K]

Answer:

The cutoff for a failing score was 40,

Approximately 2.3% of the students failed. ​

Step-by-step explanation:

Given,

Mean, \mu=60

Standard deviation, \sigma=10

Let x represents the cutoff for a failing score,

Thus, according to the question,

\frac{x-\mu}{\sigma}=-2

\frac{x-60}{10}=-2

x-60=-20

x=-20+60

x=40

Thus, the cutoff for a failing score is 40,

∵ P(<-2) = 0.02275 = 2.275 % ≈ 2.3 %

Hence, Approximately 2.3 % of the students failed. ​

7 0
3 years ago
the area of one face of a cube is 36 sq feet. what is the volume of a cube that had edges that are twice as long?
noname [10]
The cube with  1 face with area 36 ft^2 has an edge of 6 ft.

The other cube has edges 2 * 6 = 12 ft long and its volume is 12^3

=  1728 ft^3 (answer).










6 0
3 years ago
Help ASAP ill mark brainliest
Klio2033 [76]

Answer:

54:73

Step-by-step explanation:

There is more 54's then any other number

73 is the median

6 0
2 years ago
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