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Aloiza [94]
2 years ago
15

Which graph represents the solution set of the system of inequalities?

Mathematics
1 answer:
lbvjy [14]2 years ago
5 0
<span>{y≥12x+1y>−x−2 is misunderstanding
Pls correct it</span>
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the numbers 1,2,3,4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacet. find t
Tresset [83]

Consider such events:

A - slip with number 3 is chosen;

B - the sum of numbers is 4.

You have to count Pr(A|B).

Use formula for conditional probability:

Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}.

1. The event A\cap B consists in selecting two slips, first is 3 and second should be 1, because the sum is 4. The number of favorable outcomes is exactly 1 and the number of all possible outcomes is 5·4=20 (you have 5 ways to select 1st slip and 4 ways to select 2nd slip). Then the probability of event A\cap B is

Pr(A\cap B)=\dfrac{1}{20}.

2. The event B consists in selecting two slips with the sum 4. The number of favorable outcomes is exactly 2 (1st slip 3 and 2nd slip 1 or 1st slip 1 and 2nd slip 3) and the number of all possible outcomes is 5·4=20 (you have 5 ways to select 1st slip and 4 ways to select 2nd slip). Then the probability of event B is

Pr(B)=\dfrac{2}{20}=\dfrac{1}{10}.

3. Then

Pr(A|B)=\dfrac{\frac{1}{20} }{\frac{1}{10} }=\dfrac{1}{2}.

Answer: \dfrac{1}{2}.

5 0
2 years ago
Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST.​
Musya8 [376]

Answer:

The total earning of commission on sales of 85, 000 will be:

3500+1050=4550

Step-by-step explanation:

  • Total sales earning = 85,000

As salesperson earns 5% commission the first 70,000.

\frac{5}{100}\:\times \:70\:000=3500

As the salesperson earns 7% commission on the sales over 70,000.

As 15000 is the sales earning on which he will get commission 7%.

Because

  • 85,000 - 70,000 = 15000

So the 7% earning of salesperson will on 15000 will be:

\:\frac{7}{100}\:\times \:15\:000=1050

Therefore, the total earning of commission on sales of 85, 000 will be:

3500+1050=4550

8 0
3 years ago
Larry has 7 basketball cards. Fred has four times as many. How many does Fred have?
xxTIMURxx [149]

Answer:

28

Step-by-step explanation:

7 x 4 = 28

:)

6 0
2 years ago
Read 2 more answers
Can you please answer this ​
gogolik [260]

Step-by-step explanation:

If ^A=70, then ^A=^B

Reason being ADııBC or Alternate Angles

if ^D=105,^C=105

Because ADııBC or Alternate Angles

if ^B=2x-6 and ^A=82 then...

x=2x-6=82

TRANSPOSE (remember that signs change)

2x=82+6

2x/2=88/2

x=44

if^C=2(y+4) and ^D=116 then...

^C=^D

2(y+4)=116

(2×y)+(2×4)=116

2y+8=116

TRANSPOSE

2y=116-8

2y/2=108/2

y=54

if ¯AC=56cm then ¯DB

¯AC=¯DB

because ADııBC

8 0
2 years ago
Line segment AB on the coordinate plane stretches from (1,1) to (7,9). Line segment CD stretches from (-2,3) to (2,6). What is t
ValentinkaMS [17]

Answer:

B 2:1

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this question:

The length of the segments are given by the distance between its endpoints.

Line segment AB on the coordinate plane stretches from (1,1) to (7,9).

So its length is:

\sqrt{(7-1)^2+(9-1)^2} = \sqrt{6^2+8^2} = \sqrt{100} = 10

Line segment CD stretches from (-2,3) to (2,6).

\sqrt{(2-(-2))^2+(6-3)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5

What is the ratio AB:CD of the lengths of these line segments?

10:5 = 2:1

So the correct answer is given by option B.

4 0
2 years ago
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