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2 years ago

There is a bag filled with 2 blue, 4 red and 3 green marbles.

Mathematics

1 answer:

Lyrx [107]2 years ago

7 0

Answer:

.753

Step-by-step explanation:

Let Ps = probability both marbles are the same color.

Let Pd = probability both marbles are a different color.

Pd = 1 -Ps

Let Pb = probability both marbles are blue

Let Pr = probability both marbles are red.

Let Pg = probability both marbles are green

Pb= 2/9 * 1/9 = 2/81

Pr= 4/9 * 3/9 = 12/81

Pg=.3/9 * 2/9= 6/81

Ps = Pb + Pr +Pg= 20/81

Pd =1-Ps= 61/81 = .753

Is this correct?

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Complete the solution of the equation. Find the

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Y = negative 697/100

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3 years ago

Solve the equation. 3/4(x-12)=3 –12 9 16 20

tekilochka [14]

Answer:

Step-by-step explanation:

³/₄(x - 12) = 3 {multiply both sides by ⁴/₃}

x - 12 = 4 {add 12 to both sides}

x = 16

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3 years ago

What is the x-intercept of the line containing the points (-6,10) and (12,-2)?

yKpoI14uk [10]

Answer:

x = 9 is the x-intercept.

Step-by-step explanation:

We have given the coordinates (-6,10) and (12,-2).

We have to find the x-intercept of the line containing these points.

First we find the slope m by using these points.

We know that m = (y₂-y₁)/(x₂-x₁)

m = -2/3

The general form of the equation of line is :

y = mx + c

Where c is the y intercept.

Using the first coordinate to find c .

10 = (-2/3)(-6) +c

c = 6

So, the required equation is :

y = (-2/3)x+6

We have to find the x-intercept.

For this we put y=0

(-2/3)x+6 = 0

2/3 x = 6

x = 6(3/2)

x = 9 is the x-intercept.

5 0

3 years ago

Read 2 more answers

Tom, Emma, Robin, and Mary earn an average weekly salary of

alexandr402 [8]

Tom's weekly salary is $155

Step-by-step explanation:

The given is:

Tom, Emma, Robin, and Mary earn an average weekly salary of $170 per person
Tom, Emma, and Robin earn an average weekly salary of $160 per person
Robin makes $5 more per week than Mary
Emma's salary is $\frac{4}{5}$ of Mary's

We need to find Tom's weekly salary

∵ Average average salary = total salaries ÷ number of person

∵ Tom, Emma, Robin, and Mary earn an average weekly salary of

$170 per person

∴ The average = 170 and the number of person = 4

∴ 170 = total salaries of them ÷ 4

- Multiply to sides by 4

∴ 680 = total salaries of them

∴ The total salaries of Tom, Emma, Robin and Mary = $680

∵ Tom, Emma, and Robin earn an average weekly salary of

$160 per person

∴ The average = 160 and the number of person = 3

∴ 140 = total salaries of them ÷ 3

- Multiply to sides by 3

∴ 480 = total salaries of them

∴ The total salaries of Tom, Emma, and Robin = $480

The difference between the 2 total salaries above is the Mary's salary

∴ Mary's salary = 680 - 480 = 200

∴ Mary's salary is $200 per week

∵ Emma's salary is $\frac{4}{5}$ of Mary's

∴ Emma's salary = $\frac{4}{5}$ × 200 = 160

∴ Emma's salary is $160 per week

∵ Robin makes $5 more per week than Mary

∴ Robin's salary = 160 + 5 = 165

∴ Robin's salary is $165 per week

Subtract from the total salaries of Tom, Emma, and Robin the salaries of Emma and Robin to find the salary of Tom

∵ The sum of the salaries of Tom, Emma and Robin = $480

∴ Tom's salary = 480 - 160 - 165 = 155

∴ Tom's salary is $155 per week

Tom's weekly salary is $155

Learn more:

You can learn more about the average in brainly.com/question/9533500

#LearnwithBrainly

4 0

3 years ago

On an average day 3% of your employees are absent from work.You need 215 employees to operate all the machines.What is the minim

Bogdan [553]

Let e be the minimum number of workers needed.

e(100-3)/100≥215

97e/100≥215

97e≥21500

e≥21500/97

e≥221.6

Since the number of employees must be an integer...

e≥222

So the minimum number of employees needed is 222.

8 0

3 years ago