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makvit [3.9K]
3 years ago
9

Your backpack contains 3 blue pens and 2 black pens. You randomly choose one pen to give to a friend and then you randomly choos

e another pen to use yourself. What is the probability that both pens are blue
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0
Since there are 5 pens total, and three of those pens are blue, the probability for both pens being blue is 3/5.
(just like if the black pens were being chose the probability would be 2/5, since there are 5 pens total and 2 black pens.)<span />
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If a number is positive, then it is a whole number and an integer.
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Answer:

c then d my man I got you maybe

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Convert phrases to numerical expressions and solve
almond37 [142]

Answer:

10000 - 1000 + 1000 = 10000

Step-by-step explanation:

10 to the forth power = 10000 - 1000 = 9000 + 1000 = 10000

3 0
3 years ago
Read 2 more answers
The wind blew away 24 of your muffins. That was 3/4 of them! How many are left?
forsale [732]
Set up a proportion:

3/4/24 = 1/x

Cross multiply:

3/4x = 24

Divide 3/4 to both sides or multiply by its reciprocal, 4/3:

x = 24 * 4/3

x = 96/3

x = 32

So you had a total of 32 muffins, now subtract this from the amount that blew away to find out how many you have left:

32 - 24 = 8

So you have 8 muffins left.
3 0
3 years ago
The drama club is having a car wash as a fundraiser. They wash x cars at $5 each
Galina-37 [17]

<u>Answer:</u>

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

8 0
3 years ago
A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies on L. As this square moves a
user100 [1]

Answer:

Part (A) The required volume of the column is s^2h.

Part (B) The volume be s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}.

Step-by-step explanation:

Consider the provided information.

It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.

Also One vertex of the square lies on L.

Part (A)

Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.

This square moves a distance h along​ L, and generate a​ corkscrew-like column with square​.

The cross section will remain the same.

So the cross section area of original column and the cross section area of twisted column at each point will be the same.

The volume of the column is the area of square times the height.

This can be written as:

s^2h

Hence, the required volume of the column is s^2h.

Part (B) What will the volume be if the square turns twice instead of once?

If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.

s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}

Hence, the volume be s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}.

5 0
3 years ago
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