there are some coloured pins in a bag

There Are Some Coloured Pins In A Bag

Answers

Answer 1

Answer:

Green is 0.3, Yellow is 0.1

There are 12 green pins in the bag

Step-by-step explanation:

The probability is the ratio between the possible outcomes over the total outcomes

The value of the probability of possible outcomes is greater than 0 and smaller than 1 (0 < P < 1)The sum of the probabilities of all outcomes must equal 1

∵ A bag contains some green, yellow, purple and grey pins

∵ The probability of picking a purple pin P(purple) = 0.35

∵ The probability of picking a grey pin P(grey) = 0.25

→ The total of all possible outcomes is 1

∴ The sum of the probability of green and yellow pins = 1 - 0.35 - 0.25

∴ The sum of the probability of green and yellow pins = 0.4

P(green) + P(yellow) = 0.4 ⇒ (1)

∵ The probability of picking a green pin is 3 times the probability

   of picking a yellow pin

P(green) = 3 P(yellow) ⇒ (2)

→ Substitute (2) in (1)

∴ 3 P(yellow) + P(yellow) = 0.4

∴ 4 P(yellow) = 0.4

→ Divide both sides by 4

P(yellow) = 0.1

∴ The probability of picking a yellow pin is 0.1

→ Substitute P(yellow) in (20 by 0.1

∴ P(green) = 3(0.1)

P(green) = 0.3

∴ The probability of picking a green pin is 0.3

∴ Green = 0.3, Yellow = 0.1

∵ There are 14 purple pins in the bag

∵ P(purple) = 0.35

0.35 of purple pins = 14

→ To find the total number of pins in the bag divide 14 by 0.35

∴ The total number of pins = 14 ÷ 0.35

The total number of pins = 40 pins

∵ P(green) = 0.3

∴ The number of green pins = 0.3 × 40

∴ The number of green pins = 12 pins

There are 12 green pins in the bag


Related Questions

How can you tell if there will be more than one solution for the geometric means?

Answers

Answer: because there are different methods to it and different solutions.

Step-by-step explanation:

write an equation for each quadratic function whose graph is shown​

Answers

Answer:

9. y=5[tex]x^{2}[/tex]

10. y=2/3[tex]x^{2}[/tex]

11. y=1/10[tex]x^{2}[/tex]

12. y=-1/4[tex]x^{2}[/tex]

Step-by-step explanation:

9. Use vertex form (y=a(x-h)^2+k) and insert the vertex (0,0) as (h, k).

y=a(x-0)^2 +0

Substitute the x and y values for the given point on the graph, (-1, 5)

5=a(-1-0)^2+0

Solve for a.

5=a(-1)^2

5=a

Substitute a in vertex form and solve for general form (ax^2 +bx+c)

y=5[tex]x^{2}[/tex]

Use this method to find the rest of the equations.

Wage per hour $11.13.

3 hours per day of work.

Takes 44.93 (45) hours of work to get $500.

For your birthday, you received $50 in gifts from family and friends. Write an equation and solve, letting h represent hours, to find how many hours you will have to work to save the $500 with the $50 in gifts based on your hourly wage. How many weeks is that?

Answers

Answer:

It will be about fourteen days or two weeks to save that much while only working 3 hours each day for every day of the week

Step-by-step explanation:

Find negative square root of 16 . (4 points) −4 4 ±4 −8

Answers

Answer:

-4

Step-by-step explanation:

Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6

Answers

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0

Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B?

Answers

Answer:

No, you would need it to have the same multiples: for example, Triangle A has 2,3,4 so Triangle B would have 4,6,8

Step-by-step explanation:

I hope that makes sense!

One local radio station plays a commercial every 6 minutes. Another local radio station plays a commercial every 9 minutes. Both radio stations just played commercials. How many minutes will pass before both local radio stations play commercials again at the same time?

Answers

Answer:

18 mins

Step-by-step explanation:

Math question please answer

Answers

It would have to be the 3rd answer

Three times a number increased by 7 is 100. Find the number.

Answers

Answer:

31

Step-by-step explanation:

100-7= 93

93÷3=31

Answer:

the number is 31

Step-by-step explanation:

the number is the variable x

3 times the number is 3x

increased by 7 is +7

is 100 is =100

3x +7 =100

subtract 7 from both sides

3x =93

divide by 3 on both sides

x = 31

Which is a rational number?
-15/4
-7/9
4 with a rational sign?
pi

Answers

Answer:

All are rational numbers I guess

Step-by-step explanation:

NoTE : I'm not sure

Answer:

For the first one its 7/9 ig

Daisy purchases a gym membership. She pays a signup fee and a monthly fee of $14. After 4 months, she has paid a total of $69. Use a linear equation in point-slope form to find the signup fee. Solve the problem using an equation in point-slope form.
What is the sign up fee

Answers

Answer:

The signup fee is $13

Step-by-step explanation:

we know that

The equation in point slope form is equal to

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

The ordered pair is

substitute

----> equation in point slope form

Convert to slope intercept form

---> equation in slope intercept form

The y-intercept is the signup fee (value of y when the value of x is equal to zero)

therefore

The signup fee is $13

Step-by-step explanation:mark me brainliest pls

Anita is making headbands for her softball team. She needs a total of 3/4 yard of fabric. Select all types of fabric that cost less than $8 per yard. Total cost for 3/4 of cotton: 5.54 Total cost of 3/4 of Flannel: 2.62 Total cost of 3/4 of Fleece: 4.27 Total cost of 3/4 of Terry cloth: 6.52

Answers

Answer:

All except the Terry Cloth

Step-by-step explanation:

The fabrics that cost less than $8 per yard are cotton, flannel and fleece.

In order to determine the cost of a yard of each material, divide the total cost of 3/4 yards of that fabric by 3/4

cost of a yard = total cost ÷ [tex]\frac{3}{4}[/tex]

Cost of a yard of cotton = 5.54 ÷ [tex]\frac{3}{4}[/tex] = 6.85

Cost of a yard of Flannel = 2.62 ÷[tex]\frac{3}{4}[/tex] = 3.49

Cost per yard of Fleece = 4.27 ÷ [tex]\frac{3}{4}[/tex] =  5.69

Cost per yard of Terry Cloth = 6.52 ÷[tex]\frac{3}{4}[/tex] = 8.69

Based on the above calculations, all but Terry cloth cost less than $8 per yard

A similar question was solved here: https://brainly.com/question/2244723?referrer=searchResults

In the United States 13 out of every 20 cans are recycled what percentage of cans are recycled

Answers

Answer:

65%

Step-by-step explanation:

13/20 are recycled

We want a percent, which is out of 100

Multiply the top and bottom by 5

13*5 = 65

20*5 =100

65/100 = 65%

Answer:

65%

Step-by-step explanation:

I took the test

(3y-1)^5 written in standard form please help!!!!

Answers

Answer:

Step-by-step explanation:

[tex](3y-1)[/tex]

[tex](3y-1)*(3y-1)*(3y-1)*(3y-1)*(3y-1)[/tex]

[tex]243y^5-405y^4+270y^3-90y^2+15y-1[/tex]

Is 2.01 less than 2.2

Answers

Answer:

Yes, 2.01< 2.20

Step-by-step explanation:

Yes, because 2.01 is equal to 2 and 1/100 while 2.2 is equal to 2 and 20/100

Hope this makes sense. In short, yes 2.01 is less than 2.2

evaluate the expression x+9, if x=8

Answers

Answer:

17

Step-by-step explanation:

x+9

if x=8 you would substitute x for 8 making the equation

8+9 = 17

therefore, the answer is 17.


Find the measure of DCH.

Answers

Answer: angle DCH = 129 degrees

===================================================

Work Shown:

Angles DCH and PCF are congruent because they are vertical angles.

angle DCH = angle PCF

5h+94 = 7h+80

94-80 = 7h-5h

14 = 2h

2h = 14

h = 14/2

h = 7

angle DCH = 5h+94

angle DCH = 5*7+94

angle DCH = 35+94

angle DCH = 129 degrees

angle PCF = 7h+80

angle PCF = 7*7+80

angle PCF = 49+80

angle PCF = 129

We get the same result for both angles, which confirms the correct h value.

solve for -6=2(p+10)+-8

Answers

Answer:

-9

Step-by-step explanation:

hope this helpshchxjxjx

Answer:x=-9

Step-by-step explanation:

Can you please help me with this please.... I’ve been posting these questions over and over and nothing...

Snorkel, mask, and flippers
Slope:

Snorkel, mask, and flippers
y-intercept:

Snorkel, mask, and flippers
Slope intercept form:

Answers

Answer:

Step-by-step explanation:

Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).

Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)

Snorkel, mask, and flippers Slope intercept form: y = 2x + 10

Which of the equations shown have infinitely many solutions?
Select all that apply
A 3x - 1 = 3x + 1
B. 2x - 1 = 1 - 2x
C3x - 2 = 2x - 3
D. 3(x - 1) = 3x - 3
E. 2x + 2 = 2(x + 1)
E 3(x - 2) = 2(x-3)

Answers

Answer:

D. 3(x-1) = 3x-3

Step-by-step explanation:

I'm sure that's the answer

Answer:

D and E

Step-by-step explanation:

give me an example of irrational between 4 and 5​

Answers

Answer:

√17, √18,√19,√20,√21,√22,√23 ,√24

Step-by-step explanation:

Can someone please help me ASAP I’ll mark brainlist!!!!?!?

Answers

It might be D. I’m not positive sorry if it’s wrong

HELPPPP PLEASSEEEEEE!!!

Answers

Answer:

Answer:

b2 = 2A/h - b1

Step-by-step explanation:

-8(1 + 4p) + 7p = – 25 – 8p​

Answers

The answer for the is

p=1

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. Negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal's equations has no solution? 7 x + 1 = 7 x+ 1 3 x + 2 = 3 x minus 2 4 x + 1 = 3 x + 8 negative 2 x minus 1 = negative 2 x minus 1

Answers

Given:

Four equations are

[tex] 7 x + 1 = 7 x+ 1[/tex]

[tex]3 x + 2 = 3 x-2[/tex]

[tex]4 x + 1 = 3 x + 8[/tex]

[tex]-2x-1 = -2 x-1[/tex]

To find:

Without solving which equation has no solution.

Solution:

We know that, in an equation

1. No solution : When variable terms are same but constants are different.

2. Unique solution : When variable terms are different.

3. infinitely many solution : When variable terms and constants are same.

In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.

Therefore, these two equations (first and fourth) have infinitely many solutions.

In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.

Therefore, the second has no solutions.

In third equation, coefficient of x are difference on both sides.

So, this equation has unique solution.

Therefore, Jubal's equations [tex]3 x + 2 = 3 x-2[/tex] has no solution. Hence, the correct option is B.

Answer:

D

Step-by-step explanation:

Evaluate. 5/8−(14)2= ________

Answers

Answer:

exact form -219/8

Decimal form - -27.375

Mixed number form - -27 3/8

Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per weekend, use front-end estimation to find out about how much their business will earn in 5 weeks. A. $800 B. $1000 C. $1200 D. $1350

Answers

Answer:

$1,000

Step-by-step explanation:

Given that:

Charge per car = $8.50

Averahe car washed per weekend = 22

Using front end estimation, how much will business earn in 5 weeks ;

Hence amount earned per weekend :

22 * $8.50 = $187

Using front end estimation :

$187 - - -> $200

$200 * number of weeks

($200 * 5) = $1,000

Answer:

$1,000

Step-by-step explanation:

I know because I took the test.

Hi, i need help quickly. I need the solution for
Estimate the value of
[tex] \sqrt{97.5 \div 1.96} [/tex]
Please make it quick​

Answers

Answer:

7.05

Step-by-step explanation:

Answer:

7.053

Step-by-step explanation:

97.5/1.96=49.745

√49.745=7.053

Solve for the variable in the following proportion

m/1/3 = 10/1 2/3

50
2
5
3/5

please help?​

Answers

Answer:

the answer is 5

Step-by-step explanation:

simplify and expand (X+3)(x-3)(3x+3)

Answers

Answer:

3x^3 + 3x^2 - 27x - 27

Step-by-step explanation:

Answer:    3x^3 + 3x^2 - 27x - 27

===============================================

Work Shown:

(x+3)(x-3)(3x+3)

(x^2-9)(3x+3) .... difference of squares rule

y(3x+3) .... let y = x^2-9

y*3x + y*3 .... distribute

3x( y ) + 3( y )

3x( x^2 - 9 ) + 3(x^2 - 9) .... plug in y = x^2-9

3x*x^2 + 3x*(-9) + 3*x^2 + 3*(-9) .... distribute

3x^3 - 27x + 3x^2 - 27

3x^3 + 3x^2 - 27x - 27

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