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Gennadij [26K]
2 years ago
8

A ball is drawn randomly from a jar that contains 7 red balls, 5 white balls, and 4 yellow ball. Find the probability of the giv

en event.
Mathematics
1 answer:
Furkat [3]2 years ago
7 0

Missing Part:

a. A red ball is drawn

b. A white ball is drawn

Answer:

a. P(Red) = 0.4375

b. P(White) = 0.3125

Step-by-step explanation:

Given

Red = 7

White = 5

Yellow = 4

First, we need to calculate the total

Total = Red + White + Yellow

Total = 7+5+4

Total = 16

Solving (a): Probability of Red.

This is calculated by dividing number of red balls by the total

So:

P(Red) = \frac{Red}{Total}

P(Red) = \frac{7}{16}

P(Red) = 0.4375

Solving (a): Probability of White.

This is calculated by dividing number of white balls by the total

So:

P(White) = \frac{White}{Total}

P(White) = \frac{5}{16}

P(White) = 0.3125

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Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
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3 years ago
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Rashid [163]

Answer: D. (4,3)

The x coordinates of A and B are 9 and -1 in that order. Add them up to get 9+(-1) = 9-1 = 8. Then divide by two to end up with 8/2 = 4. The midpoint has an x coordinate of 4.

Repeat for the y coordinates. Add them up: 8+(-2) = 8-2 = 6. Then divide by two: 6/2 = 3. The midpoint has an y coordinate of 3.

Those two coordinates pair up to get (x,y) = (4,3) which is the midpoint of segment AB.

7 0
3 years ago
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