Mathematics
20.03.2020 10:03
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Consider the experiment of rolling a dice. find the probability of getting an even

Consider the experiment of rolling a dice. find the probability of getting an even number 3) and a number that is multiple of 3.
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SPDrac0
SPDrac0
4,9(23 marks)

1) \frac{1}2}

2) \frac{1}3}

Step-by-step explanation:

sample space of the dice out come

s={1,2,3,4,5,6}

sample space of getting even number.

S_{even}={2,4,6}

sample space of getting  number multiple of 3

S_{3 multiple}={3,6}

P(even number) =\frac{getting\ even \ number}{total\ sample \ space}

P(even number) =\frac{3}{6}

                          =\frac{1}{2}=0.5

P(multiple of 3) =\frac{getting\ multiple \ of \ 3}{total\ sample \ space}

P(multiple of 3) =\frac{2}{6}

                        =\frac{1}{3}

chantellejames4073
chantellejames4073
4,7(26 marks)

Janae types 30 words each minute.

Step-by-step explanation:

Given :

x (in minutes)    y ( words typed)

5                           150

10                          300

15                          450

20                          600

To Find: Which describes the pattern in the table?

Solution:

Two point slope form : y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

(x_1,y_1)=(5,150)

(x_2,y_2)=(10,300)

Substitute the values in the formula

y-150=\frac{300-150}{10-5}(x-5)

y-150=\frac{150}{5}(x-5)

y-150=30(x-5)

y-150=30x-150

y=30x

General equation of line : y = mx+c

where m is the slope (rate)

On comparing 1 with general equation

m = 30

So,  Janae types 30 words each minute.

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