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3 years ago

Which is the graph of the equation y-1=2/3(x-3)

Mathematics

1 answer:

Alexxandr [17]3 years ago

4 0

The attachment is the graph of the equation y - 1 = 2 / 3 (x - 3)

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In the picture above, line BX is the bisector of A, angle B and C. Line CX is the bisector of A, angle C and B. If angle A = 68°

ad-work [718]

Answer:

Step-by-step explanation:

answer. is in the image

3 0

2 years ago

Read 2 more answers

The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop

Anettt [7]

Answer:

a. $\frac{1}{15}$

b. $\frac{2}{5}$

c. $\frac{14}{15}$

d. $\frac{8}{15}$

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

a. Favorable cases for Both the laptops to be selected = $_2C_2$ = 1

Total number of cases = 15

Required probability is $\frac{1}{15}$ .

b. Favorable cases for both the desktop machines selected = $_4C_2=6$

Total number of cases = 15

Required probability is $\frac{6}{15} = \frac{2}{5}$ .

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

2. Both desktop:

Favorable cases = $_4C_2=6$

Total number of favorable cases = 8 + 6 = 14

Required probability is $\frac{14}{15}$ .

d. 1 desktop and 1 laptop:

Favorable cases = $_2C_1\times _4C_1 = 8$

Total number of cases = 15

Required probability is $\frac{8}{15}$ .

8 0

3 years ago

Select all the sentences that correctly identify the components of the experiment.

lesya [120]

Answer:

A,D,E,F

Step-by-step explanation:

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3 years ago

Read 2 more answers

Last year Peter spent a total of 8 1/6 hours on community service. Visits to old folks' homes made up 4/7 of the total time. How

zhannawk [14.2K]

Answer:

A. 4 2/3 hours

B. (i) 9 4/5 hours

(ii) 1 19/30

Step-by-step explanation:

Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.

Mathematically, that would be;

4/7 * 8 1/6

8 1/6 is same as 49/6

So the number of hours he spent visiting old folks would be ;

49/6 * 4/7 = 14/3 = 4 2/3 hours

B. What we do here is simply multiply the fraction now by what he spent last year.

That would be 1 1/5 * 8 1/6 hours

= 6/5 * 49/6 = 49/5 = 9 4/5 hours

ii) Now we want to know how much more time will be spent this year than last year.

What to do here simply is to subtract the time taken last year from what we have this year

That would be;

49/5 - 49/6 = 49/30 = 1 19/30

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3 years ago

Given the formula A = 5h (B + b); solve for B.<br> 2

Artyom0805 [142]

Answer:

A=5h(B+b)

A/5h=B+b

A/5h - b= B

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2 years ago