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victus00 [196]
3 years ago
10

Help please!!! A bag contains 50 marbles, 10 of which are blue, 8 are red, 20 are green, and 12 are purple. Marcie takes a marbl

e out of the bag, records the color, and returns it to the bag. How many red marbles should she expect after 500 trials?
A) 80
B) 100
C) 120
D) 200
Mathematics
2 answers:
Andru [333]3 years ago
5 0

Answer:

A


Step-by-step explanation:

We would need to multiply the number of trials (which is 500) by the probability of choosing a red in 1 try from the information given.


<em>There are 50 in total, and 8 of them are red, so:</em>

P(red) = \frac{8}{50}=0.16


<em>Now we multiply this with 500 to get:</em>

500*0.16=80


The correct answer is A.

Lerok [7]3 years ago
5 0

Answer:

Marcie should expect 80 red marbles. Correct answer is (A).

Step-by-step explanation:

First we need to calculate the probability of red marble to come from the bag of 50 marbles.

P=\frac{Favourable condition}{Total condition}

P=8/50

Now the chances of getting red marble after 500 trail is calcualted as

x=P*500

=(8/50)*500

=80

Therefore the correct answer is (A).

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  • Slope formula: \frac{y_2-y_1}{x_2-x_1}

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: \frac{3k-4-k}{5-(-2)}=8

Next, combine like terms: \frac{2k-4}{7}=8

Next, multiply both sides by 7: 2k-4=56

Next, add 4 onto both sides of the equation: 2k=60

Lastly, divide both sides by 2 and <u>your answer will be k=30</u>

7 0
3 years ago
Please Help!! If answer, please answer them all, thank you!!
Sergio [31]

9514 1404 393

Answer:

  (b) angle FOA

  (c) angle EOA

  (d) angle AOH

Step-by-step explanation:

(b) The rays of vertical angles are opposites that form intersecting lines.

The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.

__

(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.

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(d) Similarly, the supplement to angle BOH is angle AOH.

_____

<em>Comment on supplementary angles</em>

Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.

8 0
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A bird traveled 4 miles north before stopping to rest. The bird then flew 2,640 yards south in search of food. Finally, it flew
ra1l [238]
7 and 1/2 mile because 2,640=1.5 miles
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8 0
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Which property justifies the following equation?
Leviafan [203]
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3 years ago
50 POINTS
Tcecarenko [31]

Answer:

<u>Part 1: C. $3,159.30</u>

<u>Part 2. C. –5; –135; –10,935</u>

Step-by-step explanation:

Part 1:

Price of the boat = $ 16,600

Depreciation rate = 14% = 0.14

Time of utilization of the boat = 11 years

Price of the boat after 11 years = Original price * (1 - Depreciation rate)^Time of utilization of the boat

Price of the boat after 11 years = 16,600 * (1 - 0.14)¹¹

Price of the boat after 11 years = 16,600 * 0.1903

<u>Price of the boat after 11 years = $ 3,159.30</u>

Part 2:

Let's find out the first term of the sequence given:

A(1) = -5 * 3¹⁻¹

A(1) = -5 * 1

A(1) = -5

Let's find out the fourth term of the sequence given:

A(4) = -5 * 3⁴⁻¹

A(4) = -5 * 3³

A(4) = -5 * 27

A(4) = -135

Let's find out the eighth term of the sequence given:

A(8) = -5 * 3⁸⁻¹

A(8) = -5 * 3⁷

A(8) = -5 * 2,187

A(8) = -10,935

4 0
3 years ago
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