Mathematics Middle School

There are twelve shirts in your closet, five blue and seven green. Four of the blue shirts and one of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or is too big. Find the probability of this occuring

Answers

Answer 1

Answer:

P (blue or too big) = 11 / 12

Explanation:

A two way table permits to represent the situation clearly and find the answser is an easy way.

The two way table is that results from the given information is:

Initial information:

                     Blue           Green         Total

Fit well             4                  1                 ?

Too big            ?                   ?                ?

Total               5                   7                12

Now by subtraction and addition you can fill the unknown fields:

                     Blue           Green         Total

Fit well             4                  1                5

Too big            1                   6                7

Total                5                   7                12

Now, you can see that there are 5 blue and 7 too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).

Then, the number of shirts being blue or too big is 5 + 7 - 1 = 11.

And the probability is :

P(blue or too big) = number of blue or too big / total number of shirts

P (blue or too big) = 11 / 12 ← answer

You can also realize that there is only 1 green shirt that fits well, and that is the only option of not being blue of too big, so 1 /12 is the probability of not being blue or too big, and its complement (being blue or too big) is 1 - 1/12 = 11 / 12.

Related Questions

Line m passes through the points (3.7) and (6, 12) while line n passes
through the points (-5, 1) and (-2, 6).
Which statement accurately describes the relationship between the two
lines?

Answers

Answer:

The line n is parallel to the line m.

Step-by-step explanation:

Calculate slopes.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Line m:

(3, 7), (6, 12)

[tex]m=\dfrac{12-7}{6-3}=\dfrac{5}{3}[/tex]

Line n:

(-5, 1), (-2, 6)

[tex]m=\dfrac{6-1}{-2-(-5)}=\dfrac{5}{3}[/tex]

The lines have the same slope. That is why they are parallel.

Write an equation of a line in point-slope form that is perpendicular to the line y=1/2x-7 and goes through the point (4,-3)

Answers

Answer:

y = - 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x - 7 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, hence

y = - 2x + c ← is the partial equation of the perpendicular line

To find c substitute (4, - 3) into the partial equation

- 3 = - 8 + c ⇒ c = - 3 + 8 = 5

y = - 2x + 5 ← equation of perpendicular line

what is the purpose of algebraic expressions?

Answers

Answer:

Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on

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