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2 years ago

Find the probability of randomly selecting 3 red pencils from a box containing 5 red, 3 blue, and 4 green pencils.

Mathematics

1 answer:

dlinn [17]2 years ago

4 0

The probability of selecting 3 pencils from a box of 5 red , 3 blue, 4 green pencils is 60/1320.

Given that box contains 5 red pencils, 3 blue pencils abd 4 green pencils.

We have to calculate the probability that 3 red pencils are selected from box. Probability is the likeliness of happening an event among all the events possible.It lies between 0 and 1. The formula of calculating probability is as under:

Probability = number of items/ total items.

Number of pencils in box=12

Number of red pencils=5

Number of blue pencils=3

Number of green pencils=4

Probability of randomly selecting 3 red pencils will be 5*4*3/12*11*10 if pencil is not replaced after drawn of pencil.

=60/1320

=1/22

Hence the probability that 3 red pencils are selected is 1/22.

Learn more about probability at brainly.com/question/24756209

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(2y+9)+(3d+5)=? *simplify your answer*

netineya [11]

Answer:

$2y + 3d +14\\2(y+7)+3d$

Step-by-step explanation:

We remove the bracket and rearrange the numbers to add them. Only similar variables can be added together.

$(2y+9)+(3d+5)\\2y+9+3d+5\\2y + 3d + 9 +5\\2y + 3d + 14\\2(y+7)+3d$

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3 years ago

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Goshia [24]

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2 years ago

Determine whether the relation is a function. (2, -3). (3, 2). (4, 7), (3, 14, (6, 23)

Vika [28.1K]

Answer:

A: Yes

Step-by-step explanation:

Each input has exactly one output! So each x value has exactly one y output. hope this helps!

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3 years ago

If y varies inversely as the square of x and y=4 when x=5, find y when x is 2

Len [333]

need to kind K

Y=k x 1/x^2 = k/x^2

Find K when y=4 & x=5

Y=k/x^2 =

4=k/5^2=

4=k/25

K=4*25 =100

When x = 2

Y=100/2^2

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3 years ago

Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5

Karolina [17]

The equation that runs through the location (4,-6) has the slope-intercept form, $y=-\frac{3}{4}x-3$ .

<h2>Formation of the equation</h2>

A line's equation written in the slope-intercept form:

y=mx+b

where m= slope & b= y-intercept

The slope of two parallel lines is equal.

Currently, we know the line's equation:

$y=-\frac{3}{4} x-5$

here, slope, m= $-\frac{3}{4}$

A line equation is created by adding the slope's value and the point's coordinates (4, -6):

$-6=-\frac{3}{4}(4)+b$

⇒ -6=-3 +b [adding 3 to both sides]

⇒-3=b

⇒b= -3

Hence the solution is $y=-\frac{3}{4}x-3$ .

Learn more about slope-intercept form here:

brainly.com/question/9682526

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1 year ago