A bag contains 2 red pens, 4 blue pens, 3 black pens, and 1 green pen. Once a pen is selected, it is replaced, and then another pen is selected. Determine P(blue and blue)

Answers

Answer 1

Given:

A bag contains 2 red pens, 4 blue pens, 3 black pens, and 1 green pen.

Once a pen is selected, it is replaced, and then another pen is selected.

To find:

The probability of getting blue pens in both draws, i.e., P(blue and blue).

Solution:

We have,

Number of red pens = 2

Number of blue pens = 4

Number of black pens = 3

Number of green pen = 1

Total number of pens = [tex]2+4+3+1[/tex]

                                    = [tex]10[/tex]

The probability of getting a blue pen is:

[tex]P(\text{Blue})=\dfrac{\text{Number of blue pens}}{\text{Total number of pens}}[/tex]

[tex]P(\text{Blue})=\dfrac{4}{10}[/tex]

[tex]P(\text{Blue})=0.4[/tex]

Once a pen is selected, it is replaced, and then another pen is selected. So, after replacement the probability of getting a blue is remains the same.

[tex]P(\text{Blue and Blue})=P(\text{Blue})\times P(\text{Blue})[/tex]

[tex]P(\text{Blue and Blue})=0.4\times 0.4[/tex]

[tex]P(\text{Blue and Blue})=0.16[/tex]

Therefore, the value of [tex]P(\text{Blue and Blue})[/tex] is 0.16.


Related Questions

Help plssss lolllllll

Answers

Answer:

8

Step-by-step explanation:

you want to set it up like this

8/20   and   6/2x-1

then you cross multiply

so 8(2x-1)  = 16x-8

and 20*6 = 120

then you do 120= 16x-8

add 8 to both sides   (you want x by it's self so to get rid of a -8 you have to add 8)

128= 16x  

(divide both sides by 16)

128/16= 8

8=x

Answer:

what they said↑↑↑

Step-by-step explanation:

If the exterior angle of a triangle measures 120 degrees and one of the remote
angles measures 70 degrees, what is the measurement of the second remote
angle? *

Answers

Answer: 50 degrees

Step-by-step explanation:

The exterior is the sum of the interior remote angles.

PLEASE HELP ME ASAP I'LL GIVE BRAINLIEST

Answers

Answer:

Y = 6

Step-by-step explanation:

Rearrange terms

4+ =10

+ 4 = 10

Subtract 4  from both sides of the equation:

+ 4 =10

+ 4 −4 = 10 − 4

Simplify: Subtract Numbers:

Solutions is y= 6

Two towns tracked the attendance at their summer fairs in 2016 and 2017. The data for each town and year is shown below. Year Ogdenville North Haverbrook 2016 960 500 2017 1008 540 What was the difference between the percent increases for each town from 2016 to 2017?

Answers

Answer:

48 and 5%; 40 and 8%

Step-by-step explanation:

The computation of the difference between the percentage increase for each town from 2016 to 2017 is given below:

Year Ogdenville North Haverbrook

2016              960                500

2017              1008               540

So here the difference would be

For 2016 to 2017

= 1008 - 960

= 48

The percentage increase is

= 48 ÷ 960

= 5%

And,

= 540 - 500

= 40

And, the percentage increase is

= 40 ÷ 500

= 8%

1 ls 25% of what number?

Answers

Answer:

1 is 25% of 4

25 x 4 = 100

1 x 4 = 4

Worth a lot of points!
Express the following equation in the form ax^2+bx+c=0:
(4a+3)^2=(a+5)(a−2)

Answers

Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

Given

(4a + 3)² = (a + 5)(a - 2)

(4a + 3)(4a + 3) = (a + 5)(a - 2 ) ← expand both sides using FOIL

16a² + 24a + 9 = a² + 3a - 10 ( subtract a² + 3a - 10 from both sides )

16a² - a² + 24a - 3a + 9 + 10 = 0 ← collect like terms

15a² + 21a + 19 = 0

What's the meaning of 6, 7, 3, 8, 6, 6, 2, 9, 7

Answers

The mean is 6

In order to find the mean you add all the number together and then divide by the amount of numbers!

5 /4 6 5
Find the quotient.

Answers

Answer:

0.0107526882

=0.011

Step-by-step explanation:

I hope it helps you.

Forty-five percent of the 5,000 fast food customers ordered a hamburger. How many of the customers did not order a hamburger?

Answers

Answer:

2750 people didn't order a hamburger

Step-by-step explanation:

100%-45%=55%

55% of 5000=2750

Answer:

We want to find 55% of 5000, which is 2750

Hope this helps and brainliest please

HELP!!! Andre reads 2 1/2 pages in 1/4 hour. What is the complex fraction and unit rate?

Answers

Answer:

20

Step-by-step explanation:

2 1/2 = 5/2

5/2 x 4/1 = 20/1 = 20

(We are dividing fraction)

(keep change flip)

Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x + 2 > 7.

Answers

I can't see pictures, but I'm assuming you want it solved.

x+2>7.

Cancel out the 2 by subtracting 2 from both sides.

x+2>7

 -2   -2

x>5

So the inequality is x>5.

---

hope it helps

sorry if it doesn't

A package of tickets for four home games is $180. Write a proportion to find out how much a 12 game package would cost at the same rate.

Answers

Answer:

180/4 = x/12

Step-by-step explanation:

The sum of two numbers is 61. The larger number is 21 more than the smaller number. What are the numbers?
Larger number:
Smaller number: ​

Answers

Answer:

Large Number: 41

Small Number: 20

Step-by-step explanation:

help me pleaseeee!!!​

Answers

Answer:

5/12

Step-by-step explanation:

Hello, I am no math expert so take this with a grain of salt. Tan=Opposite/Adjacent. Side ON is opposite and side MN is Adjacent. This would mean that the ration would be 5/12. I hope that helped!

Answer:

Since 5 is in most of the answers, I´m guessing that 5 is the length of the short leg. The answer is C

Step-by-step explanation:

In SohCahToa, Sine, Cos, and Tan all have a formula. Since your looking for tan, you would find the sides that are opposite and adjacent to the hypotenuse. And since tan is opposite over adjacent, it would be 5 over 12.

Sine=Opposite over Hypotenuse

Cos=Adjacent over Hypotenuse

Tan=Opposite over Adjacent

can someone help me pls

Answers

Answer:

The larger circle has an approximate area of 314 cm²

Step-by-step explanation:

As you can see by the diagram, the white circle is twice as wide as the grey circles.  That means that its radius is also twice theirs.

The grey circles have a radius of 5cm, so the larger has a radius of 10cm.

The radius of a circle is equal to πr², where r is the radius of the circle.  So the larger circle's radius is:

π × 10²

≈ 3.14 × 100

= 314.

So the larger circle has an approximate area of 314 cm²

Questions 1, 2, and 3. Help!

Answers

Answer:

1. 90      2. 130       3. 55

Step-by-step explanation:

Every triangle when you add all the angles will = 180 degrees for this you add the 2 angles that you have and subtract it from 180

1.   35+55+ C = 180

90 = 180

C = 90

2. 25+25+C = 180

50 + C = 180

C = 130

3. 62 + 63 + C = 180

125 + C = 180

C = 55

Answer:

Step-by-step explanation:

sum of all the angles of triangle = 180

1) ∠1 + ∠2 + ∠3 = 180

35 + 55 + ∠3 = 180

90 + ∠3 = 180

       ∠3 = 180 -90

            ∠3 = 90

If one angle is 90, then, it is a right angled triangle.

2) 25 + 25+ ∠3 =180

        50 + ∠3 =180

             ∠3 =180 -50

       ∠3 = 130

If two angles are equal, then it is an isosceles triangle.

3) 62 + 63 + ∠3 =180

             125 +∠3=180

                     ∠3 = 180-125

                     ∠3 = 55

All the angles are different, so it is a scalene triangle

 


What is the value of 16.43 – 1.043

Pls show the work of how you did it

Answers

Answer:

15.387

Explanation:

16.43
- 1.043
————
15.387
Decimals are cool because you can add zeros to the end of them, and they will still be the same number.

16.43 = 16.430

I add the zero to the thousandths place because I am subtracting a number from 16.430 that has a number in the thousandths place. When you line the two numbers up to subtract you want to make sure they have an equal amount of decimal places.

1 6. 4 3 0 <— you now are ready to subtract.
- 1 . 0 4 3 I lined up the numbers in the
—————— ones, tenths, hundredths + Thousandths place. I drop the decimal point down.

Start from the rightmost digit.
You can’t subtract 3 from 0, so you borrow ten from the left.
3-1 =2. Cross out 3 and write 2 above it.
You add 10 to 0. 10+0=10. Cross out 0 and write 10 above it.
You can subtract 3 from 10 now. 10-3=7.

2 10
1 6. 4 3 0 You now have this.
- 1 . 0 4 3
——————
. 7

You can’t subtract 4 from 2, so you borrow from the left again.
4-1=3. Cross out 4 and write 3 above it. 2+10=12. Cross out 2 and write 12 above it.
12 - 4 = 8.
This is what that looks like:

12
3 2 10
1 6. 4 3 0 You now have this.
- 1 . 0 4 3
——————
. 8 7

3 - 0 = 3.
6 - 1= 5.
1 - 0 (as there is no digit in the tenths place) = 1

12
3 2 10
1 6. 4 3 0 You now have this.
- 1 . 0 4 3
——————
1 5. 3 8 7

So 16.43-1.043= 15.387

helpppp yall

x^2 −17x+72

Answers

Answer:

(x−9)(x−8)

Step-by-step explanation:

Consider the form

x2+bx+c. Find a pair of integers whose product is

c and whose sum is b

. In this case, whose product is 72

and whose sum is −17.−9,−8

Write the factored form using these integers.(x−9)(x−8)

please help will be marking Brainliest

Answers

Answer:

A or b not to sure

Step-by-step explanation:

If 0° SOS 90° and cose
15, what is the value of sin (90° - 9)?
A: 11/15
B: 15/11
C: 15/4
D: 4/15

Answers

The answer is 11/15 A

The value of  sin (90° - 9) is 11/15, Option A is correct.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Using the trigonometric identity sin(90° - θ) = cos(θ), we have:

sin(90° - 9) = cos(9)

To evaluate cos(9) in degrees,

cos(θ) = cos(π/2 - θ)

Substituting θ = 9 degrees, we get:

cos(9) = cos(π/2 - 9°)

Using radians, π/2 - 9° = 1.4661

cos(9) = 0.9781

Therefore, sin(90° - 9) = 0.9781, which is equivalent to 11/15 when simplified.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

What is the length of it’s diagonal?

Answers

i believe the answer is d

help
me please and thank you explain it for 100 points

Answers

Answer:

[tex]\huge \colorbox{blue}{B}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:

we are given the formula,Mass and volume

to find density we just need to substitute the value of mass and value and simplify it

[tex] \sf substitute \: the \: value \: of \: mass \: and \: volume : [/tex]

[tex] \quad \: \sf \dfrac{7.0 \times {10}^{24} \: kg }{3.5 \times {10}^{12} \: {km}^{3} } [/tex]

now we will use [tex]\dfrac{x^m}{x^n}=x^{m-n}[/tex] to simplify division

[tex] \sf simplify \: division : \\ \quad \: \sf 2 \times {10}^{24 - 12} \times \frac{kg}{ {km}^{3} } \\ \quad \tt 2 \times {10}^{12} \frac{kg}{ {km}^{3} } [/tex]

hence, our choice is [tex]B[/tex]

___________________________________

[tex]\huge\underline{\tt{\red{Formula:}}}[/tex]

[tex]\quad\quad\quad\quad\tt{density = \frac{mass}{volume} }[/tex]

[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\tt{density = \frac{7.0 \times {10}^{24} \: kg}{3.5 \times {10}^{12} \: k {m}^{3} } }[/tex]

[tex]\quad\quad\quad\quad\tt{density = (\frac{7.0}{3.5 } = 2.0)}[/tex]

[tex]\quad\quad\quad\quad\tt{\:\:and\:\:({10}^{24 -12})}[/tex]

[tex]\quad\quad\quad\quad \boxed{\tt{density = 2.0 \times {10}^{12} \: \frac{kg}{k {m}^{3} }} }[/tex]

[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]

[tex]\quad\quad \underline{\boxed{\tt{ \red{B.) \: \: 2.0 \times {10}^{12} \: \frac{kg}{k {m}^{3} }}}} }[/tex]

[tex]\huge\underline{\tt{\red{Explanation:}}}[/tex]

Given that the formula for density is equal to mass all over the volume.

We use this formula:

[tex]\boxed{\tt{density = \frac{mass}{volume} }}[/tex].

We substitute it like this:

[tex]\boxed{\tt{density = \frac{7.0 \times {10}^{24} \: kg}{3.5 \times {10}^{12} \: k {m}^{3} } }}[/tex]

Then, hence we got:

[tex]\boxed{\tt{density = 2.0 \times {10}^{12} \: \frac{kg}{k {m}^{3} }} }[/tex]

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

PLEASE HELP DUE TODAY WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

1. 2

2. 1/4

3. 3

4. 5

5. 3/2

6. -6

7. -3

Graph each inequality. anyone know

Answers

I can’t see the picture clearly, but the line should be horizontal and it should be running through -3 on the y axis and the bottom should be highlighted

Which graph represents a function

Answers

Answer:

b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

One way you could figure out if a graph is a function is by doing the vertical line test:

Put a vertical line across every x value, if there is more than one point within one of the lines, it is not a function.



I can’t get any wrong I really need this !!!

Answers

answer: since 6 is all the way at the end of the number line, the opposite is most likely at the beginning making it B

Help please
Find the value of x. *

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]x=\sqrt{10^{2}-y^{2}}[/tex]

Step-by-step explanation:

[tex]x^{2} +y^{2} =10^{2} \\x^{2} =10^{2}-y^{2}\\x=\sqrt{10^{2}-y^{2}}[/tex]

I will brainliest if correct! The graph of an exponential model in the form y=aXb^x passes through the points (3,5) and (4,10). Which point is also on the graph?

Answers

Answer:

I hope that help

Step-by-step explanation:

Any point on a two-dimensional graph can be represented by two ... For example, the point (2, 3) is two units to the right of the y-axis and three units ... and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b.

find x for − 1/5(x − 4) = −2 i need help asap please help

Answers

-1/5x + 1 = -2
-1/5x= -3
x= 15

Mark Brainly pls

please please help me it’s due today i really need it help me

Answers

160m^2 hope that helped
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