A box contain 10 green pins 3 are blue and 7 are green. Two pins are randomly taken out of the box without replacement work out the probability that both pins are the same color

Answers

Answer 1

Answer:

[tex]P(Z)=\frac{8}{15}[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=10[/tex]

Green pins [tex]x=7[/tex]

Blue pins [tex]y=3[/tex]

 

Generally the probability of getting two green is mathematically given by

[tex]P(2X)=\frac{7}{10}*\frac{6}{9}[/tex]

[tex]P(2X)=\frac{7}{15}[/tex]

Generally the probability of getting two blue is mathematically given by

[tex]P(2Y)=\frac{3}{10}*\frac{2}{9}[/tex]

[tex]P(2Y)=\frac{1}{15}[/tex]

Therefore the probability that both pins are the same color P(Z)

[tex]P(Z)=P(2Y)+P(2X)\\P(Z)=\frac{7}{15}+\frac{1}{15}[/tex]

[tex]P(Z)=\frac{8}{15}[/tex]


Related Questions

x=?
Please help y’all

Answers

Answer:

35

Step-by-step explanation:

i believe it is 35 degree at is directly opposite to a 35 degree angle

35
answer: since it’s a vertical line the number is the same as the one on the other side.

The points with coordinates (0, 3) and (8, 5) lie on the straight line L. Write down an equation of L.

Answers

Answer:

y = (1/4)*x + 3

Step-by-step explanation:

A linear equation can be written as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through the points (0, 3) and (8, 5)

Then the slope will be:

a = (5 - 3)/(8 - 0) = 2/8 = 1/4

Then this line is something like:

y = (1/4)*x + b

Now we want to find the value of b.

Here we can use one of the two points that we know, for example, I will use the point (0, 3), this means that when x = 0, we must have y = 3.

If we replace those two values in the line equation, we get:

3 = (1/4)*0 + b

3 = b

Then the equation for the line L is:

y = (1/4)*x + 3

log(x+4)=logX + log4

Answers

Answer:

log

(

x

+

4

)

=

log

(

x

)

+

log

(

4

)

=

log

(

4

x

)

, so  

x

+

4

=

4

x

, hence  

x

=

4

3

Step-by-step explanation:

A jacket that regularly sells for $153 was on sale for 40% off the regular price. What is the sale price?

Answers

Answer:

The sale price is %91.80.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Marking brainliest!

Please help

Answers

Answer:

yes, it is divisible

Step-by-step explanation:

please mark me brainliest this time :(

Simply the following expression: 2p x 3r x 5p

Answers

Answer:

10p squared ×3r

Step-by-step explanation:

2p ×3r×5p

group like terms

2p×5p×3r

10p squared × 3r

What is the value of the expression below? 8 + 24 / 2 X 6 - 4

the answer is 76 but i just need to know the step by step explanation ​

Answers

8 + 24 / 2 X 6 - 4

following order of operations divide 24 by 2:

8 + 12 x 6 -4

Multiply 12 by 6:

8 + 72 -4

Add 8 and 72:

80-4

Subtract to get 76

can someone please help me with this

which of these quadratic equations has exactly two solutions or zeros

Answers

This question doesn’t make sense, because they all do..

Solve a ship leave port and travel 21km on a bearing of 032° and then 45km on a bearing 287 calculate the distance and bearing of the port from the ship

Answers

Answer:

Step-by-step explanation:

Let shall be considering the Cosine rule in this situation.

a^2 = b^2+c^2- 2bc.cosA

Where a = ?

b = 21km

c 45km

A = 131

a^2 = 21^2+45^2-2(21*45).cos131

a^2 = 441+2025-1890(-0.6560)

a^2 = 2466+1239.951

a^2 = 3705.951

a= 60.876km

Finding the bearing of the port from the ship.

We shall be considering the Sine rule

Sin A/a = Sin B/b

Where A = ?

a = 45km

B = 131°

b = 60.876km

Sin A/45 = sin131/60.876

SinA×60.876 = 45×sin131

SinA×60.876= 45×0.7547

SinA×60.876 = 33.961

SinA= 33.961/60.876

SinA = 0.5578

A = sin^-1 0.5578

A = 33.9°

What determines the inherited traits of an organism? 1. the number of chromosomes in a cell

2. the size of the chromosomes

3. the proteins produced by a cell

4. the Gene's of its chromosomes​

Answers

Answer:

Step-by-step explanation:

The length of metaphase chromosomes may vary considerably (in average from ∼1 to >20 μm)

The information to produce a protein is encoded in the cell's DNA. When a protein is produced, a copy of the DNA

Chromosomes are structures within cells that contain a person's genes. Genes are contained in chromosomes, which are in the cell nucleus.

Plz help fast will mark brainliest!!!

Answers

I think it is 457.333333 π m3

Hope this helped :T

Answer:

1436.76

Step-by-step explanation.

[tex]\frac{4}{3}\pi r^{3}[/tex]

that is the formula, with r being the radius.

then if you replace r with 7 that would be the answer.

pi, also equals 3.14159265359, or shortened 3.14.

so it would look like:

[tex]\frac{4}{3}*3.14*7^{3}[/tex]

In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.

Answers

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

Can someone plz help me with this one problem!!!

Answers

Answer:

Add all the given side lengths:

1 + 16 + 16 + 4 = 37!

What is the remainder in the synthetic division problem below?
1|4 6 -3
A. 3
B. 7
C. 5
D. 9

Answers

The correct option is (b) i.e. In the given synthetic division, the remainder will be 7.

What is Remainder ?

The remainder is what "remains" after an activity is finished, as its name implies. In mathematics, it is impossible to divide 17 by 3 precisely. The leftover after division is the number 2, which is set aside.

Given : 1   |    4 6 -3

If we solve it further, we get

                               1   |    4 6 -3

                                   |        4  10

                                   |    4 10  7

Steps :

firstly we will write 4 as it is .

we will multiply 1 by 4 and write it in the second place, then we will add 6 and 4.

Similarly, we will multiply 1 by 10 and write it in the third place, then we will add -3 and 10 and finally get 7 as residual.

here, after solving, we get 7 in the end which is set aside.

So, the remainder will be 7.

Hence, the correct option is (b).

To learn more about Synthetic division, visit the link:

https://brainly.com/question/24662212

#SPJ1

Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.

Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5

Answers

Answer: B. One fourth times the product of 8 and 3, then divide by 5.

Simplify the expression:
2(2 + 4k)

Answers

12k is your answer
Brainliest would be nice
Simplify the expression
2(2+4k)
(4+8k) = 12k
2(2+4k) = 12k

For the data set 1,7,7,7,8, the mean is 6. what is the mean absolute deviation?

Answers

Answer:

The answer is 2

Step-by-step explanation:

First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.

Hope that helps. =)

Answer:

the answer is 2

Step-by-step explanation:

hoped I helped

Which is the best approximation of PX?

Answers

Answer:

The best known approximations to π dating to before the Common Era were accurate to two decimal places; this was improved upon in Chinese mathematics in particular by the mid-first millennium, to an accuracy of seven decimal places.

Step-by-step explanation:

Two quantities of data have a strong positive correlation. Can the line of best fit for the data set have a correlation coefficient of 0.25? Explain.
Choose the correct answer below.
O A. Yes. The sign of the correlation coefficient indicates the type of correlation data have. Because 0.25 is positive, it is possible for data with a strong
positive correlation to have it as the correlation coefficient
OB. No. By definition, data that have a strong positive correlation have a strong linear relationship. The correlation coefficient would be closer to 1 than 0.25 is
OC. No. By definition, data that have a strong positive correlation have a strong linear relationship. The correlation coefficient would be closer to - 1 than 0.25
OD. No. By definition, data that have a strong positive correlation have a strong linear relationship. The correlation coefficient would be closer to than 0.25 is.
O E. Yes. By definition, data that have a strong positive correlation have a strong linear relationship. A correlation coefficient of 0.25 indicates a fairly strong
is.
correlation

Answers

I think it’s c for this answer

15 points need ASAP
Write and solve a proportion to answer the question.

Eric scored 94% on a science test. If the test was out of 50 points, how many points did he earn? Show work.


(Answers just for points will result in a report)

Answers

Answer:

What is 94 out of 200 as a percentage?

47

Percentage Calculator: 94 is what percent of 200? = 47.

Step-by-step explanation:

sorry if it is not correct :(

Find the radius of a circle with an area of 615.75 square kilometers

Answers

Answer:

13.999975443466645809607317476264924904625964880398

Step-by-step explanation:

That's only 50 digits

YOU WILL GET MARKED BRAINLIEST:)

Answers

Answer:

Z = 2

Step-by-step explanation:

This tape diagram is split into two equal parts.

Since 2 and 2 are equal, and since 2 and 2 have a sum of 4, then z is equal to 2.

Answer:

z = 2

Step-by-step explanation:

if two z go into 4 then it's 2 because 2 is the only number that goes into 4 twice

PLEASE HELP ASAP! WILL GIVE BRAINLIEST! The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part.

Answers

Answer:

Solution:- In the given figure

Side of square= 10 cm

area of square =  side x side m= 10 x 10 = 100 sq cm

Now , diameter of semi circle AOD = 2r = 10cm

⇒ radius of  semi circle AOD = 5 cm

∴ area of AOD =  

similarly Area of semicircle BOC =  

Area of white portion in figure 1 = area of square - [ area of semicircle BOD + area of semicircle AOD]

=

Total area of white portion in the given figure=

∴Area of Shaded portion = area of square - area of total white portion

=  

So the area of shaded portion is  

Now perimeter of AD(which is a semicircle) = (as perimeter of semicircle=πr)

So the perimeter of shaded region = 4×perimeter of AD=4×15.7=62.8cm

Step-by-step explanation:

Which of the following is a proportion?

Answers

Answer:

the second one

Step-by-step explanation:

Mr. Moran chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)



{48, 36, 21, 19, 50, 50, 49, 44, 38, 40}

Answers

Answer:

39.5

Step-by-step explanation:

help me please!!! no links 10 points

Answers

in persectev i think the answer in bound to be 17/10

Answer:

x=3 y=13

Step-by-step explanation:

now you got x... substitute x value with one of the questions then you get y

-3×3+2y=17

-9+2y=17

2y=17+9

y=26/2

y=13

i hope it's clear this is how elimination method works... this is how i learned.... t☺️❤️

HURRY PLEASE IM NEED HELP!!!!!!

Answers

Answer:

I can barely see it can you make it bigger somehow

Step-by-step explanation:

Observa las siguientes imágenes formadas por círculos:

Figura 1 (un circulo) Figura 2 (5 círculos)

-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?

Answers

1.En 10 figuras habrá 37 puntos si te fijas en las imágenes lo único que hace es agregar 4 puntos a cada uno como la tercera imagen tiene 9 puntos hize 9 + 7x 4= 37
2.la imagen 12 tendrá 45 puntos y la 7 tendrá 25 puntos
La diferencia de puntos entre la figura 7 y 12 serán seran 20 puntos
-si lo pude saber sin la necesidad de encontrar la cantidad de los círculos de las imágenes porque cada ves vamos agregando 4 puntos

Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.

¿Como encontrar el patrón?

Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.

En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.

Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:

[tex]C_N = 1 + (N - 1)*4[/tex]

Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.

[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]

¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?

Para ver esto calculamos:

[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]

Es decir, la image 12 tiene 20 circulos más que la imagen 7.

Sí quieres aprender más sobre secuencias, puedes leer:

https://brainly.com/question/7882626

Use the reverse order of operation to solve this problem.


2m = 1

Answers

Answer: m = 1/2 or 0.5

Step-by-step explanation:

The order of operation within this problem is multiplication meaning we must divide instead.

2m = 1

2m/2 = 1/2

m = 1/2 or 0.5

can you please help me with this ASAP!!

Answers

firstly u can take the value of x=3 then put the value of x in equation..then u will get y = 0 so from this equation u get this(3,0)

then do same thing take value x = 6 and then u will get the value of y = -1 therefore u will get (6,-1)

Now plot these two points (3,0) and (6,-1) on graph..

Hope it helps u..!!

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