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3 years ago

The number cube is rolled and a coin is tossed .How can you sketch a tree diagram to represent the sample space ?

Mathematics

1 answer:

nevsk [136]3 years ago

3 0

Answer:

Refer to the diagram in the attachment.

Step-by-step explanation:

There are two events here: the first one is the number on the cube. The second one is the outcome of the coin toss. This tree should contain two columns, one for each event.

Start with the first column. Let $N$ be the outcome of the number cube. There are six possible values: $\text{$1,\, 2,\, 3,\, 4,\, 5,$ and $6$}$ . That corresponds to six branches, one for each outcome.

Continue to the second column. Let $C$ be the outcome of the coin toss. No matter which number was obtained for $N$ , there would always be two possible outcomes for

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answer : 17280 breaths
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2 years ago

How are corresponding side lengths of two similar figures related

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3 years ago

Hi I need this asap if you also explain the work on how you got answers plz and thank you

weeeeeb [17]

Answer:

Q/ Draw a line ; Ans; 

$\frac{9}{5} —>1 \frac{4}{5}$

*explain ; We put the 5 in the denominator and 5 multiply 1 + 4 so equal 9 so the choice 9/5 .

Ans; 7/3—> 2 1/3

*explain ; We put the 3 in the denominator and 3 multiply 2 + 1 so equal 7 so the choice 7/3 .

Ans; 12/10 —> 1 1/5

*explain; simple (12 and 10) ÷ 2 so equal 6/5

We put the 5 in the denominator and 5 multiply 1 + 1 so equal 6 so the choice 6/5 =12/10 .

$\frac{12 \div 2}{10 \div 2} = \frac{6}{5} = 1 \frac{1}{5}$

Q/ Compare the fractions;Ans;

$\frac{2}{3} < \frac{14}{6}$

* explain; 2/3 = 0.66 and 14/6=2.33 so 2.33 greater from 0.66 so 14/6 greater from 2/3 .

$\frac{3}{8} < \frac{8}{3}$

* explain; 3/8 = 0.375 and 8/3=2.666 so 2.666 greater from 0.375 so 8/3 greater from 3/8 .

$2 \frac{1}{6} > \frac{5}{9}$

* explain; 2 1/6 —> We put the 6 in the denominator and 6 multiply 2 + 1 so equal 13 so equal 13/6

13/6 = 2.16 and 5/9=0.55 so 2.16 greater from 0.55 so 13/6 = 2 1/6 greater from 5/9 .

Q/Add; Ans;

$\frac{7}{8} + \frac{5}{8} = \frac{7 + 5}{8} = \frac{12}{8} = \frac{3}{2}$

$\frac{1}{9} + \frac{2}{3} \\ \\ \frac{1}{9} + \frac{6}{9} = \frac{ 1+6 }{9} = \frac{7}{9}$

Q/Subtract; Ans;

$\frac{6}{7} - \frac{4}{7} = \frac{6 - 4}{7} = \frac{2}{7}$

$\frac{7}{3} - \frac{2}{9} \\ \\ \frac{21}{9} - \frac{2}{9} = \frac{21 - 2}{9} = \frac{19}{9}$

Q/ Multiply;Ans;

$\frac{1}{5} \times \frac{1}{2} = \frac{1}{10}$

$\frac{2}{3} \times \frac{3}{8} = \frac{6}{24} = \frac{1}{4}$

Q/Divide;Ans;

$\frac{3}{4} \div \frac{2}{5} \\ \\ \frac{3}{4} \times \frac{5}{2} = \frac{15}{8}$

$\frac{8}{9} \div \frac{1}{3} \\ \\ \frac{8}{9} \times \frac{3}{1} = \frac{24}{9} = \frac{8}{3}$

I hope I helped you^_^

5 0

3 years ago

69/14 as a mixed number

Otrada [13]

Answer:

6914 is 4 with a remainder of 13

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve the system of equations. y = 2x y = x 2 – 15

inn [45]

Answer:

D. (–3, –6) and (5, 10)

Step-by-step explanation:

The system has equations:

$y=2x$ ...(1)

and

$y=x^2-15$ ...(2)

Equate both equations;

$x^2-15=2x$

Rewrite in standard form:

$x^2-2x-15=0$

We factor to obtain:

$(x+3)(x-5)=0$

By the zero product principle;

$(x+3)=0,(x-5)=0$

$\implies x=-3,x=5$

When x=-3, y=2(-3)=-6

This yields the ordered pair (-3,-6).

When x=5, y=2(5)=10

This yields the ordered pair (5,10).

The correct choice is D.

8 0

3 years ago