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Lesechka [4]
3 years ago
12

A pet store has 12 ​puppies, including 3 ​poodles, 5 ​terriers, and 4 retrievers. if rebecka and​ aaron, in that​ order, each se

lect one puppy at random without​ replacement, find the probability that aaron selects a​ retriever, given that rebecka selects a poodle.
Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
Total number of puppies = 12
Where;
Poodles = 3
Terriers = 5
Retrievers = 4

After Rebecca selects a poodle, total number of puppies remaining = 12 -1 =11
Then,
Probability of Aaron selecting a retriever:

P(R) = Number of  retrievers/New total = 4/11

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A bolt falls off an airplane at an altitude of 500 m. How long will it take the bolt to reach
Rudik [331]

Answer:

t = sqrt(500/4.9) =~ 10.1 seconds/ Answer: 10.1015 seconds (this is approximate)

Step-by-step explanation:

Use 4.9t^2 + v0t = s

a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?

s = 4.9t^2 + v0t = 500

4.9t^2 = 500

t = sqrt(500/4.9) =~ 10.1 seconds

Part A)

v = initial velocity = 0

s = 500 = vertical distance the object travels (from plane to ground)  

Plug in the given values and solve for t

4.9t^2 + v*t = s

4.9t^2 + 0*t = 500

4.9t^2 + 0 = 500

4.9t^2 = 500

t^2 = 500/4.9

t^2 = 102.04081632653

t = sqrt(102.04081632653)

t = 10.101525445522

t = 10.1015

Answer: 10.1015 seconds (this is approximate)

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3 years ago
Find the point slope equation for the line that passes through the points (2,1) and (-2,5). use the first point in your equation
Delicious77 [7]

Answer:

y - 1 = -(x - 2)

Step-by-step explanation:

y - y1 = m(x - x1)

m = (5-1)/(-2-2) = 4/-4 = -1

Using any one coordinate, construct

y - y1 = m(x - x1)

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3 years ago
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The measure of angle 3 is 42°.<br><br> What is the measure of angle 1 in degrees?
polet [3.4K]

Answer:

<1 = 48

Step-by-step explanation:

<1 + <2 + <3 = 180 since they form a line

<1 + 90+ 42 =180

Combine like terms

<1 + 132 =180

Subtract 132 from each side

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Is there a solution to 2x^2+7x-4=0?
IgorLugansk [536]

Answer:

x= -8    x= 1

Step-by-step explanation:

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Tap A fills a tank in 4hours while B fills the same tank in 3hours. Tap C empties this tank when full in 2hours. If the tank is
boyakko [2]

Answer:

<em>It will take 12 hours to fill the tank</em>

Step-by-step explanation:

Proportions

Tap A fills a tank in 4 hours. It means each hour it fills 1/4 of the tank.

Tap B fills the tank in 3 hours. Each hour it fills 1/3 of the tank.

Tap C empties the tank when full in 2 hours. Each hour it empties 1/2 of the tank.

Each hour, the tank gets filled by:

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Since the tank fills 1/12 of its capacity in one hour, it follows that it will take 12 hours to fill the tank

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