There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?

Answers

Answer 1

Answer:

Step-by-step explanation:

P(g=1) is equal to

1-P(g=0)-P(g=2)

P(g=0)=(7/12)(6/11)

P(g=2)=(5/12)(4/11) so

P(g=1)=1-(42/132)-(20/132)

P(g=1)=(132-42-20)/132

P(g=1)=70/132

P(g=1)=35/66


Related Questions

Find the lengths of AC and BC, and find the measure of angle B.
please help :)

Answers

Answer:

I know that the angle is 57

Step-by-step explanation:

If 0 < b ≤ 90 and cos(11b + 2) = sin(12b − 4), what is the value of b? b = 3 b = 4 b = 5 b = 6

Answers

Answer:

[tex]b = 6[/tex]

Step-by-step explanation:

Given

[tex]0<b\le 90[/tex]

[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]

Required

Find b

To solve this, we make use of the following trigonometry rule:

If [tex]\cos(\alpha) = \sin(\beta)[/tex]

Then: [tex]\alpha + \beta = 90[/tex]

So:

[tex]11b + 2 = 12b - 4[/tex]

Collect like terms

[tex]11b - 12b = - 4 - 2[/tex]

[tex]-b = - 6[/tex]

Multiply both sides by -1

[tex]b = 6[/tex]

Can someone check this out to see if I have this correct? If not can you help me out please? Thank you! The answers are on 2nd page. My answers are from top top bottom, 1,3,and 2.

Answers

Answer:

my guess is 2,3, and 1.

Step-by-step explanation:

in the ending it's always a finish of "definition of something"

After the given is always the substitution

and the angles forming a linear pair sum to 180 is after the substitution because you're now solving it.

maybe wrong but thats what i think the answer is.  

What equation matches the graph?


A. y=3/2x +1

B.y=1/3x +1

C. y=1/2x + 1

D. y=3/2x + 1

Answers

The answer for this is B

A newspaper report claims that 30\%30%30, percent of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees. He wonders if the newspaper’s claim holds true at his company. To find out, Leo asks a simple random sample of 125125125 tea-drinking employees which they prefer: green tea or black tea.

Answers

Complete question :

A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...

What is an appropriate way for Dr. Huber to finish his null hypothesis?

A. ...equal to 30%

B. ...less than 30%

C. ...greater than 30%

D. ...not equal to 30%

Answer:

A. ...equal to 30%

Step-by-step explanation:

Given the incomplete hypothesis statement for the Null ;

The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30

The alternative hypothesis on the other side is the opposite statement or hypothesis.

how many solutions does this equation have?
3x-5=2x+2

Answers

Answer:

x = 7

Step-by-step explanation:

3x+2x=7x

Type the correct answer in the box.
log +log -10823= log

Answers

the correct answer to the equation in the picture is log 7

Answer:

log 7

Step-by-step explanation:

Using the rules of logarithms

log x + log y ⇔ log (xy )

log x - log y ⇔ log ([tex]\frac{x}{y}[/tex] )

Given

log[tex]\frac{14}{3}[/tex] + log[tex]\frac{11}{5}[/tex] - log[tex]\frac{22}{15}[/tex]

= log ([tex]\frac{14}{3}[/tex] × [tex]\frac{11}{5}[/tex] ) - log[tex]\frac{22}{15}[/tex]

= log ([tex]\frac{154}{15}[/tex] ) - log[tex]\frac{22}{15}[/tex]

= log ( [tex]\frac{154}{15}[/tex] ÷ [tex]\frac{22}{15}[/tex] )

= log ([tex]\frac{154}{15}[/tex] × [tex]\frac{15}{22}[/tex] )

= log[tex]\frac{154}{22}[/tex]

= log 7

area of this question?

Answers

Answer:

The answer is 165

Step-by-step explanation:

If I'm wrong I'm sorry

PLEASE HELP 20 POINTS AND BRAINLEST PLEASE
- Meredith is
feet shorter than her friend
3
Tucker. If Meredith is 5 feet tall, how tall is
Tucker?

Answers

Answer: 8 ft

Step-by-step explanation: Well since Meredith is 5 ft you will add 3 ft because she is 3 ft shorter than Tucker and we are talking about Tucker's height. If you add 3 ft then you would get 8 ft.

Answer:

Tucker is 8 feet tall.

Step-by-step explanation:

if she's 3 feet shorter then just add 3 feet to her normal height.

Find two numbers whose sum is 28 and whose difference is 13

Answers

i could be wrong but 20.5 and 7.5

PLEASE HELP ME ILL MAKE BRAINLIEST!!!!!
I need the correct answer

Answers

Answer:

56.7

Step-by-step explanation:

Hello There!

Trigonometric Ratios

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length and the hypotenuse

so the trigonometric ratio we need to use is sin

knowing that sin = opposite side divided by hypotenuse we create an equation

[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]

our final step is to round to the nearest tenth of a degree

so we can conclude that the measure of angle A is 56.7

note: arcsin = inverse of sin

Answer:

56.7

Step-by-step explanation:

so opposite the angle we are working out is "o"And the longest side is the hypotunese but just remember it as "h"a is the remaining side but does not have a value and is blank therefore we need to worry about this sideWe have "o" and "h" which is the formula triangle with sin o/sin*hBut as we are working out the angle(sin)  we change the formula so it is sin=0/hsin=51/61sin=0.8then you click the shift or 2nd function button on your calculator and the sin button and this is your answer 56.7so the angle is 56.7

No clue what I am doing

Answers

Answer:

1. 1=18°, 2=90°

2. 1=85°

3. 1=97°

4. 2=83°

5. 3=49°

6. 1=94°

7. 4=45°

8. 3=65°

9. 2=79°

10. 5=73°

11. 6=147°

12. 1=26°

13. 2=32°

Step-by-step explanation:

1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.

2. do the same thing as last time, 180 minus 40 and 55.

3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.

4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.

5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.

(This is taking really long to explain so if you have questions just ask.)

5000 at 9% for 4 years. pls help me

Answers

Answer:

$5,024

Step-by-step explanation:

He has hired you as their new production manager. Your job is to look at five different solid figures and determine which would best suit the needs of the company for packaging the candy. You will choose one of the five options shown below. The candy is animal gummies. The package must hold between 60 and 70 cubic inches (roughly 4-5 cups of space). The cost of the plastic for the packaging is $0.003 per square inch

Answers

The cost is 5000$ tooo

please help asp please

Answers

Answer:

C) 76 cm²

Step-by-step explanation:

area = (8 x 8 ) + (3 x 8 x 0.5) = 76 cm²

another way is:

area = 1/2(b1 + b2)(h)

area = 1/2(11 + 8)(8) = 76 cm²

Answer:

76

Step-by-step explanation:

Hello There!

The area can be found by using this formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

we need to find the height before we can find the area

the shape was split into a triangle and a square

because its a square and one of the side lengths is equal to 8cm the height will be equal to 8cm

now we plug in the known information into the formula

[tex]A=\frac{11+8}{2} 8\\11+8=19\\\frac{19}{2} =8.5\\8.5*8=76\\A=76[/tex]

so we can conclude that the area of the trapezoid is 76 square centimeters

684+270 is the same as 654+

Answers

Answer:

Thats incorrect. 684+270=954. 654+ would be saying a number thats 654 or higher. But not stating the real total.

Step-by-step explanation:

Hope this helped!! :)

What is the measure of arc QSR?

Answers

Answer:

250°

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

I did it

can someone give me the answer to this !

Answers

Answer:

9

Step-by-step explanation:

Answer:

there are nine teachers

Step-by-step explanation:

Bestbuy is having a sale, 45% off all merchandise! You see a laptop you like and you only have $300. The laptop's regular price is $499. Can you afford it after the discount?

Answers

Answer:

Yes you could afford it

Step-by-step explanation:

Answer

yes.

Step-by-step explanation:

45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.

PLEASE HELP THUS IS DUE IN AN HOUR

finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​

Answers

Step-by-step explanation:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

if you run 2 1/2 miles each day how far are you going

Answers

Answer:

2 1/2 miles

Step-by-step explanation:

my teacher

The line plot shows how many gallons of paint a painter used in 10 jobs. How many total gallons of paint did the painter use on all the jobs that used less than 2 1/2 gallons of paint?
A: 5 1/4
B: 6 3/4
C: 8 3/4
D: 9 1/2

Answers

Answer:

8 3/4

Step-by-step explanation:

There are 5 jobs that required less than 2 1/2 gallons.

For the equation, you'll just be adding all these up

1 1/2 + 1 1/2 + 1 3/4 + 2 + 2

Which will give you 8 3/4

Factorise, check by using multiplication a-7a+12​

Answers

Answer:

Step-by-step explanation:

Sum = -7

Product = 12

Factors = (-3) ; (-4)   { (-3) * (-4) = 12  and (-3) + (-4) = -7}

a² - 7a + 12 = a² -3a    - 4a + (-3)(-4)

                 = a(a - 3) - 4(a - 3)

                 = (a - 3)(a - 4)


Find the lateral surface area of the triangular prism.

A) 420 cm2
B) 480 cm2
C) 540 cm2
D) 620 cm2

Answers

Answer:

620

Step-by-step explanation:

other dood is wrong lol i did the math and took the test AND got it right

The lateral surface area of the triangular prism is 480 square cm,

option (B) is correct.

It is given that the triangular prism has a 10 cm height and its sides are 16 cm, 12 cm, and 20 cm respectively.

It is required to find the lateral surface area.

What is the lateral surface area?

It is defined as the surface area of an object excluding its top and base areas, it is different from the total area.

We know that,

The lateral surface area of triangular prism = perimeter of the      

                                                                              base×height                                                                      

                                                                        = (a + b + c ) × h

We have, a = 16, b = 20 cm, c = 12 cm, and h =10 cm.

Putting these values in the above formula, we get:

[tex]\rm = (16+20+12) \times10\\\\\rm = 48\times 10\\\\\rm = 480 \ cm^2[/tex]

Thus, the lateral surface area of the triangular prism is 480 square cm,

option (B) is correct.

Learn more about the lateral surface area here:

https://brainly.com/question/14001755

A triangle has an area 14.5 ft.². The base of a triangle is 8 feet. What is the height?

Answers

Answer:

The height is 3.625ft.

Step-by-step explanation:

0.5x8xa=14.5

4a=14.5

a=14.5/4=3.625


Moe painted the lid of a barrel. The circumference of the lid is 32 inches. Which
measurement is closest to the area of the lid in square inches?

Answers

Answer:

A ≈ 81.487 in²

Step-by-step explanation:

We know that circumference is C = 2πr, where r is the radius.

So,

C = 2πr

32 = 2(3.14)r

[tex]r=\frac{32}{2(3.14)}[/tex]

r ≈ 5.093 in

We also know that the formula for the area of a circle is A = πr², so:

A = πr²

A = (3.14)(5.093)²

A ≈ 81.487 in²

Someone plz help me ASAP

Answers

Answer:

best song in the world is baby Shark

SAS I think it is? I hope this helps

find the value of given expression

[tex] \sqrt{66 \times 66} [/tex]

Answers

Answer:

[tex] \sqrt{66 \times 66} = 66[/tex]

Answer:

66 is the exact value of the expression

Step-by-step explanation:

1.) y + 3 > 7 what’s the answer?

Answers

Answer:

Yes you are right it is option 4

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

By it has to be greater than 4 so it would be above it

Given the following exponential function: y
300(1.08)
What is the starting value?
What is the percent increase?

Answers

Answer:

Znhh

dlph is go pp pap iz clicker party calls X appraisal stock

Step-by-step explanation:

ha go ricksha symbiosis also jaldi
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