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disa [49]
3 years ago
15

Write the equation of the line through (0, −2) and (3, 13) in point-slope form. The line through (0, −2) and (3, 13) in point-sl

ope form is
Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

Answer:

  • y + 2 = 5x

Step-by-step explanation:

<u>Point-slope form: </u>

  • <em>y - y1 = m(x - x1)</em>

<u>Slope formula:</u>

  • <em>m = (y2 - y1)/(x2 - x1)</em>

<u>Given points:</u>

  • (0, -2) and (3, 13)

<u>Finding the slope:</u>

  • m = (13 - (-2))/(3 - 0)
  • m = 15/3
  • m = 5

<u>Using point 1</u>

  • y - (-2) = 5(x - 0)
  • y + 2 = 5x

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Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls
murzikaleks [220]

Answer:

a) 0.73684

b) 2/3

Step-by-step explanation:

part a)

P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)}

Using conditional probability as above:

(A,B,C)

Cases for numerator when:

P( A is 1 and exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1)

= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4})  + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) = 0.048611111

Cases for denominator when:

P( Exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1) + P(not 1, 1 , 1)

= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4})  + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) + (\frac{5}{6}*\frac{1}{12}*\frac{1}{4})= 0.0659722222

Hence,

P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)} = \frac{0.048611111}{0.06597222} \\\\= 0.73684

Part b

P ( B = 12 / A+B+C = 21) = \frac{P ( B = 12 and A+B+C = 21)}{P (A+B+C = 21)}

Cases for denominator when:

P ( A + B + C = 21) = P(5,12,4) + P(6,11,4) + P(6,12,3)

= 3*P(5,12,4 ) =3* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{96}

Cases for numerator when:

P (B = 12 & A + B + C = 21) = P(5,12,4) + P(6,12,3)

= 2*P(5,12,4 ) =2* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{144}

Hence,

P ( B = 12 / A+B+C = 21) = \frac{\frac{1}{144} }{\frac{1}{96} }\\\\= \frac{2}{3}

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3 years ago
The length of the red line segment is 8, and the length of the blue line segment is 4. How long is the major axis of the ellipse
inessss [21]

Answer: the answer is

C. 12

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3 years ago
Brandon earns a rebate each month on his meals and movie tickets. He earns $0.50 for each movie ticket and $2 for each meal. Las
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A. 25 = (.5 * 22) + (2 * x)

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3 years ago
Find -5A+4B<br><br><br> please only answer if yk the answer
pishuonlain [190]

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest

5 0
2 years ago
Pls help i will give you 30 points asap
Olegator [25]

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.

y = mx + b

y = 2x + 15

slope(m) = 2 and y int (b) = 15

The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2

example :  

baskets picked in 1 hr :

y = 2(1) + 15

y = 2 + 15

y = 17

baskets  picked in 2 hrs :

y = 2(2) + 15

y = 4 + 15

y = 19

so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.

The y intercept (15) is telling us that they already had 15 baskets to start with.

3 0
3 years ago
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