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3 years ago

Find the slope of the line that passes through the points (2, 4) and (6, 9).

Mathematics

1 answer:

Kobotan [32]3 years ago

8 0

Answer:

slope = $\frac{5}{4}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (6, 9)

m = $\frac{9-4}{6-2}$ = $\frac{5}{4}$

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Box 1 contains 3 blue and 5 red balls, whereas Box 2 contains 2 blue and 4 red ball. A ball is randomly chosen from Box 1 and th

muminat

Answer:

0.32

Step-by-step explanation:

Let A be the event that the transferred ball was blue.

B be the event that the red ball is selected from box 2

C be the event that the transferred ball was red

Then:

P(A) be the probability that the transferred ball was blue, which is 3/8

P(C) be the probability that the transferred ball was red, which is 5/8

P(B|A) is the probability that selected ball is red, given that the transferred ball was blue, which is 4/7

P(B|C) is the probability that selected ball is red, given that the transferred ball was red, which is 5/7

P(B) is the probability that the selected ball is red, which there are 2 scenarios, given that the transferred ball is blue and red

P(B) = P(B|A)P(A) + P(B|C)P(C)

$P(B) = \frac{4}{7}\frac{3}{8} + \frac{5}{7}\frac{5}{8}$

$P(B) = \frac{3}{14} + \frac{25}{56} = \frac{37}{56}$

P(A|B) is the probability that the transferred ball was blue, given that a red ball is selected from Box 2, which can be solved using Bayes theorem

$P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{\frac{4}{7}*\frac{3}{8}}{\frac{37}{56}} = \frac{3}{14}\frac{56}{37} = \frac{12}{37} = 0.324$

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3 years ago

4/5 equivalent to 5/6

USPshnik [31]

It cannot be equivalent unless you can divide 5/6 into 4/5 and multiply 4/5 into 5/6, but you can't. You can only add both by one which doesn't make it equivalent in any way

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