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2 years ago

In the diagram, the dashed figure is the image of the solid figure. What is the image of BC?

Mathematics

2 answers:

lozanna [386]2 years ago

7 0

___
RS is the answer.

BARSIC [14]2 years ago

4 0

Answer:

$\bar{RS}$

Step-by-step explanation:

We have been given the solid figure and its image in form of dashed figure.

So, we can see from the figure.

A corresponds to Q, C corresponds to S, D corresponds to P and B corresponds to R.

We need to figure out the image of $\bar{BC}$

Required image is $\bar{RS}$

Option 1 is correct.

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(Picture) MULTIPLYING MONOMIALS AND BINOMIALS

Sauron [17]

Answer:

Option C is correct, i.e. 2x² +7x -4.

Step-by-step explanation:

Given is (2x-1)(x+4)

Applying FOIL method:-

F- multiply First two, O- multiply Outer two, I- multiply Inner two, L- multiply Last two.

So, (2x-1)(x+4) = 2x*x +2x*4 -1*x -1*4

(2x-1)(x+4) = 2x² +8x -1x -4

(2x-1)(x+4) = 2x² +7x -4

Hence, option C is correct, i.e. (2x-1)(x+4) = 2x² +7x -4.

3 0

3 years ago

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

Joey wrote a book about his favorite Author.

Rasek [7]

Answer: $6000

Step-by-step explanation:

Multiply the cost of the book by the decimal equivalent of 12% (25 x .12). this equal 3 dollars per book. 2,000 copies of the book were sold, so you would multiply 2000 by 3. 2000 x 3 = 6000

7 0

3 years ago

A line with a slope of 2 passes through (3,9). Which choice is an equation of this line?

Veronika [31]

Answer:

The answer to your question is number 3.

Step-by-step explanation:

Data

slope = m = 2

Point = (3, 9)

Process

1.- Write the equation of the line in the form point-slope

y - y1 = m(x - x1)

2.- Identify the values of x1 and y1

x1 = 3 y1 = 9

3.- Substitution

y - 9 = 2(x - 3)

4.- Simplify

y - 9 = 2x - 6

y = 2x - 6 + 9

5.- Result

y = 2x + 3 slope y-intercept form

6 0

2 years ago

Select the relations that are functions.

liraira [26]

Answer:

option A, C and D

Step-by-step explanation:

Each relation is a function if each input has only one output

{a, 1), (6, 1), (C, 1)

This relation is a function because each input has only one output

{a, a),(a, b),(a, c)}

This relation is not a function because input 'a' has only three output

{(1, a), (2, a),(3, a)}

This relation is a function because each input has only one output

{a, a), (b, b), (C, c)}

This relation is a function because each input has only one output

7 0

2 years ago