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RSB [31]
2 years ago
15

Lloyd is arranging his science project, math project, and art project on his desk. The tree diagram below shows the sample space

. A tree diagram is shown. The first three choices are art, science, and math. From art, one branch is math, science and the other branch is science, math. From science, one branch is art, math and the other branch is math, art. From math, one branch is art, science and the other branch is science, art. Based on the tree diagram, what is the probability that the projects are in order of art, math, science? one over six two over six three over six four over six

Mathematics
2 answers:
Margarita [4]2 years ago
6 0

The tree diagram is constructed and attached below in the image.

First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.

Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.

The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6

Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.

Aliun [14]2 years ago
4 0

The answer is 1/6 I got it right thanks to the person above!^

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I am a prime number between 30 and 40. What number could I be?
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31 and 37 are the only prime numbers between 30 and 40

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Blake watched of a movie on Friday, of the movie
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1/3

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The ratio of the number of boy campers to the number of girl campers was 8:7. If there were a total of 195 campers, how many boy
kupik [55]
8x - amount of boys
7x- amount of girls 

8x + 7x = 195
 
15x= 195  ( divide by 15)

x= 13

8x = 8 x 13 = 104

7x = 7 x 13= 91 

there are 104 boys, and 91 girls.


4 0
3 years ago
It takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?
BlackZzzverrR [31]

Answer:

120 min

or

2 hrs

Step-by-step explanation:

60 min=1 hr

60 min/5=12 min

12(4)=48 min

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7 0
3 years ago
A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?
GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)

480=\left(2x+1\right)\left(6x-3\right)

480=12x^2-3

Subtract 480 from both sides

12x^2-3-480=480-480

12x^2-483=0

3\left(4x^2-161\right)=0

3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0

solving

2x+\sqrt{161}=0

2x=-\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{-\sqrt{161}}{2}

x=-\frac{\sqrt{161}}{2}

also solving

2x-\sqrt{161}=0

2x=\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{\sqrt{161}}{2}

x=\frac{\sqrt{161}}{2}

Therefore, the values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

3 0
2 years ago
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