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anyanavicka [17]
3 years ago
9

A Fair coin is tossed and a marble is chosen from the bag whose contents are shown below. what is the probability of the coin La

nding heads up and a Blue Marble being randomly selected?
Blue: 3 Green: 4 Red: 3

A) 3/20
B) 1/6
C) 4/5
D) 5/6​
Mathematics
2 answers:
Nesterboy [21]3 years ago
8 0

Answer: Option A)

P=\frac{3}{20}

Step-by-step explanation:

We know that when you toss the coin, the probability of getting heads up is

p_m = 0.5

In the bag there are 10 marbles

Blue: 3 Green: 4 Red: 3

So the probability of getting a blue marble is:

P_b = \frac{3}{10}

Note that the events are independent.

Finally, the probability of obtaining a head up and a blue marble will be:

P = p_m * p_b     → Because the events are independent:

P = 0.5*\frac{3}{10}

P=\frac{3}{20}

Vera_Pavlovna [14]3 years ago
3 0

Answer:

P(Coin landing heads and blue marble is randomly selected) = 3/20.

Step-by-step explanation:

In this question, two events simultaneously take place. First, all the probabilities have to be identified. It is mentioned that the coin is a fair coin, therefore the probabilities of all the outcomes associated with the coin tossing will be equal. Therefore:

P(Coin landing heads) = 1/2.

P(Coin landing tails) = 1/2.

There are a total of 3 blue + 4 green + 3 red = 10 marbles in the bag. Therefore:

P(Selected marble is blue) = 3/10.

P(Selected marble is green) = 4/10.

P(Selected marble is red) = 3/10.

Assuming that both the events are independent, the probabilities of both the events can safely be multiplied. Therefore:

P(Coin landing heads and blue marble is randomly selected) = 1/2 * 3*10 = 3/20.

Therefore, the answer is 3/20!!!

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Carlos rode further than on Saturday by 107/56 miles.

Step-by-step explanation:

i did the quiz lol

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3 years ago
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Factorise 10x²+19x+6<br><br> Show working out please.
stepladder [879]

Answer:

(2x+3)(5x+2)

Step-by-step explanation:

10x²+19x+6

multiply to get 60

add to get 19

10x²+19x+6

(10x²+15x)(+4x+6)

factorise:

10x²+15x

5x(2x+3)

4x+6

2(2x+3)

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8 0
3 years ago
Which is a correct first step in solving the inequality-4(2x - 1) &gt; 5 - 3x?
prisoha [69]
The answer is distribute -4 to get -8x+4>5-3x
3 0
3 years ago
Read 2 more answers
A) In a group of 60 students, 15 liked maths only, 20 liked science only and 5 did not like
Paladinen [302]

Part (i)

We have 60 students total, and 5 didn't like any of the two subjects, so that must mean 60-5 = 55 students liked at least one subject.

<h3>Answer: 55</h3>

=========================================================

Part (ii)

We have 15 who like math only, 20 who like science only, and 55 who like either (or both). Let x be the number of people who like both classes.

We can then say

15+20+x = 55

x+35 = 55

x = 55-35

x = 20

This means 20 people liked both subjects

<h3>Answer: 20</h3>

=========================================================

Part (iii)

There are 15 people who like math only, and 20 who like both. Therefore, there are 15+20 = 35 people who like math (and some of these people also like science)

<h3>Answer: 35</h3>

=========================================================

Part (iv)

We'll follow the same idea as the previous part. There are 20 people who like science only and 20 who like both subjects. That yields 40 people total who like science (and some of these people also like math).

<h3>Answer: 40</h3>

=========================================================

Part (v)

We'll draw a rectangle to represent the entire group of 60 students. This is considered the universal set. Inside the rectangle will be two overlapping circles to represent math (M) and science (S).

We'll have 15 go in circle M, but outside circle S to represent the 15 people who like math only. Then we have 20 go in circle S but outside circle M to show the 20 people who like science only. We have another copy of 20 go in the overlapped region between the circles. This is the 20 people who like both classes. And finally, we have 5 go outside both circles, but inside the rectangle. These are the 5 people who don't like either subject.

Note how all of the values in the diagram add up to 60

15+20+20+5 = 60

This helps confirm we have the correct values.

<h3>Answer: See the venn diagram below</h3>

3 0
3 years ago
Where to put the ( )’s 5+4+3 2=29
Salsk061 [2.6K]

Answer:

It all depends.

Step-by-step explanation:

It depends on what you are trying to do, and what you want to solve for. If you are trying to distribute the 3 into 2, you would place the parentheses around the 2. I hope I was able to help, but there is not much that I can do without more clear instructions!

8 0
3 years ago
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