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miskamm [114]
2 years ago
11

A paper bag contains a mixture of 3 types of candy. there are 10 packs of fuzzy peaches, 7 packs of sour keys, and 3 packs of ne

rds. suppose a game is played in which a candy is randomly taken from the bag, replaced, and then a second candy is drawn from the bag. if you are allowed to keep the second candy only if it was the same type a the one that was drawn the first time, calculate the probability of each of the following: a) you will keep a pack of fuzzy peaches b) you will be able to keep any of the candy c) you will not be able to keep any of the candy
Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
6 0

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

<h3>How to calculate the probability?</h3>

a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:

= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)

= 10/20 × 10/20

= 1/4

= 0.25

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

b. The probability to be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)

= 100/400 + 49/400 + 9/400

= 158/400

= 0.395

The probability to be able to keep any of the candy will be 0.395.

c. The probability that you will not be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)

= 100/400 + 91/400 + 51/400

= 242/400

= 0.605

The probability that you will not be able to keep any of the candy will be 0.605.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

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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)

8 0
3 years ago
Simon and Andrew see a speed limit sign that says 65 kilometers per hour. They decide to convert this speed limit to miles per h
stealth61 [152]

Answer:

40.38912735 or about 40 miles per hour (rounded to the nearest whole number)

Step-by-step explanation:

1.) You want to convert kilometers per hour to miles per hour.

2.) There are 0.62137119 miles in 1 kilometer.

3.) Multiply 65 by 0.62137119

4.) That equals 40.38912735

5.) This answer can be rounded to 40 mph.

5 0
3 years ago
the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15 seconds the angle of elevat
Nana76 [90]

Answer:

200m/s

Step-by-step explanation:

Please see the attached pictures for full solution.

5 0
3 years ago
Use the data to create a scatter plot.Speed (m/s)2 3 4 5 6 7 Distance (m)5 8 13 12 18 20
GuDViN [60]

Answer:

I assume you would know how to make a regular graph???

So, you would plot the points at:

(2, 5)

(3, 8)

(4, 13)

(5, 12)

(6, 18)

(7, 20)

I hope this helps you!


8 0
3 years ago
Correct answers only please!
hodyreva [135]

Answer:

$125.97

Step-by-step explanation:

They have given you everything you need.

p = 100

r = 0.08

t = 3

B = final amount

B = 100(1 + 0.08)^3

B = 125.9712

since you're dealing with money you have to round to the nearest cent

B = $125.97

Please brainlist if I helped

7 0
3 years ago
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