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svlad2 [7]
3 years ago
12

A box contains 1 plain pencil and 4 pens. A second box contains 6 color pencils and 2 crayons. One item from each box is chosen

at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Mathematics
1 answer:
FrozenT [24]3 years ago
8 0

Probability that a pen from the first box and a crayon from the second box are selected is 1/5.

<u>Step-by-step explanation</u>:

Step 1 :

  • First box contain = 1 pencil + 4 pens = 5 items
  • Second box contain = 6 color pencils + 2 crayons = 8 items

Step 2 :

Probability for a pen from 1st box, P(pen) = no. of pens / total items

P(pen) = 4/5

Probability for a crayon from 2nd box, P(crayon) = no. of crayons / total items

P(crayon) = 2/8 = 1/4

Step 3 :

P(pen) and P(crayon) = (4/5) \times (1/4)

                                   = 4/20

P(pen) and P(crayon) = 1/5

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Answer: A. It is more susceptible to bias than would be a simple random sample.

hope this helps

3 0
2 years ago
Which interval for the graphed function has a local
Alex

Answer:

Interval for the function has local minimum of 0 is [2,4].

Step-by-step explanation:

You need to find the local minimum of 0 in the given function's graph.

In mathematics, local minimum is a point on a graph whose value is less than all other points near it.

See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4

So, final answer is :

Interval for the function has local minimum of 0 is [2,4].That's the final answer.

hope it helps

5 0
3 years ago
How can probabilities be used to make fair decisions?
GarryVolchara [31]

he magician starts with the birthday boy and moves clockwise, passing out 100100100100 pieces of paper numbered 1111 through 100100100100. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 100100100100, and chooses the volunteer with that number.

Method2: The magician starts with the birthday boy and moves counter-clockwise, passing out 75757575 pieces of paper numbered 1111 through 75757575. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 75757575, and chooses the volunteer with that number.

Method 3\: The magician starts with the birthday boy and moves clockwise, passing out 30303030 pieces of paper numbered 1111 through 30303030. He cycles around the circle until all the pieces are distributed. He gives #1111 to the birthday boy, #2222 to the next kid, and so on. He then counts the number of windows in the room and chooses the volunteer with that number.

yes probabilites can be used to make fair ones

thanx

heya

6 0
3 years ago
3. i) Determine the volume of the cylinder above to the nearest cubic centimetre. (3 points)​
klemol [59]

Answer:

1480cm³

Step-by-step explanation:

The Equation for the Volume of a Cylinder is V=Bh, where B is the area of the circle (A= πr²).

We are given all of the things we need, we just have to plug them into the equation.

First let's find B using the radius(r) which is given to be 6.4cm, so B=πr²

B=π(6.4cm)²

Plug that into a calculator to get 128.6796351cm²

Now we can plug that into the original equation, V=Bh.

V=(128.6796351cm²)h

h is also given to be 11.5cm, so lets plug that in.

V=(128.6796351cm²)(11.5cm)

You will get V=1479.815804cm³, but since we are rounding to the nearest cubic centimeter, we would round up to 1480cm³.

3 0
3 years ago
Morgan is a real estate agent and most recently made $12,500 on the sale of a home. Her commission she earns in selling homes is
ra1l [238]

Answer:

$104,167 approx.

Step-by-step explanation:

Step one:

Given data

Morgan made $12,500 on the sale of a home.

Her commission she earns in selling homes is 12%

Step two:

let the cost of the home be x

So 12% of x= 12,500

12/100*x= 12,500

0.12*x=12,500

0.12x=12,500

divide both sides by 0.12

x= 12,500/0.12

x=$104,166.66

x=$104,167

8 0
2 years ago
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