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3 years ago

Help step by step pls.

Mathematics

1 answer:

Archy [21]3 years ago

8 0

Using the law of sines, we have

$\dfrac{\sin B}{2x-24}=\dfrac{\sin C}{x-2}$

but angles B and C are congruent, so the sine terms cancel and we're left with

$\dfrac1{2x-24}=\dfrac1{x-2}\implies2x-24=x-2\implies x=22$

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What needs to be corrected in this construction of a line parallel to AB passing through C?

monitta

Answer;

C) The second arc should be centered at C.

Explanation;

Assuming the goal is to construct a line parallel to AB that passes through given point C.

-Draw a line through C and across AB at an angle creating D.

- With the compass width about half of DC, and center D, draw the first arc to cross both lines.

-Using the same compass width , draw the second arc with center C.

-Then set the compass width to the lower arc (the first arc)

- Move the compass to the second arc. Mark off an arc to make point E

-Draw a straight line through C and E

Thus the line CE will be parallel to line AB

3 0

3 years ago

Read 2 more answers

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

PLEASE NO LINKS OR SITES!!!! JUST ANSWERS. THANK YOU!

kap26 [50]

Answer:2/16

Step-by-step explanation:

8 0

3 years ago

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Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.

Wewaii [24]

Answer:

Step-by-step explanation:

6 0

2 years ago

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It’s a new semester! Students are grouped into three clubs, which each has 10, 4 and 5 students. In how many ways can teacher se

ozzi

Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.

So there are 3 clubs:

Club A, with 10 students.
Club B, with 4 students.
Club C, with 5 students.

The possible combinations of 2 students from different clubs are

Club A with club B
Club A with club C
Club B with club C.

The number of combinations for each of these is given by the product between the number of students in the club, so we get:

Club A with club B: 10*4 = 40
Club A with club C: 10*5 = 50
Club B with club C. 4*5 = 20

For a total of 40 + 50 + 20 = 110 different combinations.

This means that there are 110 different ways in which 2 students from different clubs can be selected.

If you want to learn more about combination and selections, you can read:

brainly.com/question/251701

6 0

2 years ago