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2 years ago

Which equation represents a line that passes through (2, -1) and has a slope of 3?

Mathematics

1 answer:

777dan777 [17]2 years ago

5 0

Answer:

y+1=3(x-2)

Step-by-step explanation:

The explanation is in the picture

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In a certain Algebra 2 class of 29 students, 7 of them play basketball and 24 of them play baseball. There are 3 students who pl

antiseptic1488 [7]

Answer:

$\frac{5}{29}$

Step-by-step explanation:

Let $n(A)$ represent students playing basketball, $n(B)$ represent students playing baseball.

Then, $n(A)=7$ , $n(B)=24$

Let $n(S)$ be the total number of students. So, $n(S)=29$ .

Now,

$P(A)=\frac{n(A)}{n(S)}=\frac{7}{29}$

$P(B)=\frac{n(B)}{n(S)}=\frac{24}{29}$

3 students play neither of the sport. So, students playing either of the two sports is given as:

$n(A\cup B)=n(S)-3\\n(A\cup B)=29-3=26$

∴ $P(A\cup B)=\frac{n(A\cup B)}{n(S)}=\frac{26}{29}$

From the probability addition theorem,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Where, $P(A\cap B)$ is the probability that a student chosen randomly from the class plays both basketball and baseball.

Plug in all the values and solve for $P(A\cap B)$ . This gives,

$\frac{26}{29}=\frac{7}{29}+\frac{24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{7+24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{31}{29}+P(A\cap B)\\\\P(A\cap B=\frac{31}{29}-\frac{26}{29}\\\\P(A\cap B=\frac{31-26}{29}=\frac{5}{29}$

Therefore, the probability that a student chosen randomly from the class plays both basketball and baseball is $\frac{5}{29}$

6 0

2 years ago

team rise over run finished the last 12 miles in 1/2 an hour what was their average speed in miles per hour

saveliy_v [14]

Answer:

Step-by-step explanation: it’s been half an hour and they ran the 12 miles so in an hour which is double half an hour they ran two times what they did in half an hour

4 0

3 years ago

Read 2 more answers

Of 1800 students enrolled in school 55% are girls. of the girls attending this school 30% take the bus to school

leonid [27]

55% of 1800 = 0.55(1800) = 990...so there are 990 girls in the school

30% of 990 = 0.30(990) = 297...so there are 297 girls who take the bus

7 0

2 years ago

Help me plz i need it

Leviafan [203]

X=17 is the awnser for this

3 0