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3 years ago

Which graph shows the solution to the system of linear inequalities?

Mathematics

2 answers:

V125BC [204]3 years ago

3 0

<h2><u>Answer:</u></h2>

Which ordered pairs are in the solution set of the system of linear inequalities?

y > Negative one-halfx

y < One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.

(5, –2), (3, 1), (–4, 2)

(5, –2), (3, –1), (4, –3)

(5, –2), (–3, 1), (4, 2)

Step-by-step explanation:

Andrei [34K]3 years ago

3 0

Answer:

Step-by-step explanation:

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Find the angle to the nearest degree. *<br> sin-10.5166<br> 1<br> 31.1°<br> 58.9°<br> 0.5°

Mice21 [21]

Given:

The given inverse trigonometric term is:

$\sin^{-1}(0.5166)$

To find:

The value given inverse trigonometric term.

Solution:

We have,

$\sin^{-1}(0.5166)$

Using the calculator, we get

$\sin^{-1}(0.5166)=31.10446$

$\sin^{-1}(0.5166)\approx 31.1^{\circ}$

The value of given term is 31.1°.

Therefore, the correct option is B.

6 0

2 years ago

Evaluate 20/6 - 2/3. 2 1/6, 2 2/3, 3 1/3, 3 2/3

N76 [4]

Answer:

Step-by-step explanation:

20/6 - 4/6= 16/6= 2 4/6= 2 2/3

7 0

2 years ago

A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a wa

Mkey [24]

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = $\frac{12!}{3! 3! 3! 3!}$

Now,

The Total number of ways in which Remaining cards are distributed = $\frac{40!}{10! 10! 10! 10!}$

So,

Total number of ways of getting 3 picture card and remaining card = $\frac{12!}{3! 3! 3! 3!}$ × $\frac{40!}{10! 10! 10! 10!}$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = $\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }$

∴ The probability = $\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$ × $\frac{(13!)^{4} }{ 52! }$

= $\frac{12! 40!}{(3!)^{4} (10!)^{4} }$ × $\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }$

= $\frac{12!}{(3!)^{4} }$ × $\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}$

= $\frac{479,001,600}{(6)^{4} }$ × $\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}$

= 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

6 0

2 years ago

What is the ratio of 8 to 60 written as a fraction in lowest terms

Sedaia [141]

Answer:

2/15

Step-by-step explanation:

8/60

Divide the top and bottom by 4

8/4 =2

60/4 = 15

2/15

3 0

2 years ago

Read 2 more answers

5(x - 8) + 15 = 35

Paladinen [302]

Answer:

x=12

Step-by-step explanation:

5(x-8) + 15 = 35

<em>First remove the parenthesis by multiplying</em>

5x-40 + 15 = 35

5x -25 = 35

<em>Add 25 to both sides</em>

5x=60

<em>Divide both sides by 5</em>

x=12

Now you can plug in 12 for x if you need to, it will equal 35

8 0

3 years ago

Read 2 more answers