Answers
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
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.
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:
HELPPPP PLEASSEEEEEE!!!
Answers
Answer:
Answer:
b2 = 2A/h - b1
Step-by-step explanation:
(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]
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
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!
simplify and expand (X+3)(x-3)(3x+3)
Answers
Answer:
3x^3 + 3x^2 - 27x - 27
Step-by-step explanation:
===============================================
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
Can someone please help me ASAP I’ll mark brainlist!!!!?!?
Answers
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:
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
Find the measure of DCH.
Answers
===================================================
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:
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
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.
Is 2.01 less than 2.2
Answers
Answer:
Yes, 2.01< 2.20
Step-by-step explanation:
Hope this makes sense. In short, yes 2.01 is less than 2.2
Find negative square root of 16 . (4 points) −4 4 ±4 −8
Answers
Answer:
-4
Step-by-step explanation:
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:
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
Evaluate. 5/8−(14)2= ________
Answers
Answer:
exact form -219/8
Decimal form - -27.375
Mixed number form - -27 3/8
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
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.
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
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:
Math question please answer
Answers
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:
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
give me an example of irrational between 4 and 5
Answers
Answer:
√17, √18,√19,√20,√21,√22,√23 ,√24
Step-by-step explanation:
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:
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
-8(1 + 4p) + 7p = – 25 – 8p
Answers
p=1