In total, the number of birds that were there in each tree at first is 6 birds.
Let's begin by expecting that there were x feathered creatures within the first tree, y feathered creatures within the moment tree, and z winged creatures within the third tree before any feathered creatures flew absent.
After 3 fowls flew from the primary tree to the moment tree, there were x-3 feathered creatures within the to-begin-with tree and y+3 feathered creatures within the moment tree.
Similarly, after 2 winged creatures flew from the moment tree to the third tree, there were y+1 feathered creatures within the second tree and z+2 feathered creatures within the third tree.
We are given that after both of these flights, there were 5 fowls in each tree. In this manner, able to compose two conditions based on the overall number of winged creatures sometime recently and after the flights:
x + y + z = 5 + 5 + 5 = 15 (add up to the number of fowls sometime recently the flights)
x-3 + y+3 = 5 + 5 + 3 = 13 (add up to a number of fowls after the primary flight)
y+1 + z+2 = 5 + 5 + 2 = 12 (add up to the number of winged creatures after the second flight)
Disentangling these equations, we get:
x + y + z = 15
x + y = 16
y + z = 9
Ready to unravel for x, y, and z by utilizing substitution or disposal. Let's utilize the end by including the final two conditions:
(x + y) + (y + z) = 16 + 9
x + 2y + z = 25
Substituting the moment condition (x + y = 16) into this equation, we get:
16 + z = 25
z = 9
Substituting z = 9 into the moment condition (y + z = 9), we get:
y + 9 = 9
y = 0
Substituting y = into the primary condition (x + y + z = 15), we get:
x + + 9 = 15
x = 6
Subsequently, there were 6 fowls within the first tree, birds within the second tree, and 9 winged creatures within the third tree some time recently any winged creatures flew away.
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What the meaning of statement this?
The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.
What does the statement implies?The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.
In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.
For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.
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Mary is applying to a college which has a tuition of $15,000 per year. Her
parents will pay half of the annual amount, and she received a scholarship
of $4000 that she can use to pay the remaining cost. How much money
should Mary save every month, if she has 2 years to save money for the
first year of college?
A. $145.83
B. $625.00
C. $458.33
D. $1750.00
Answer:
The answer is A. $145.83
Step-by-step explanation:
The total cost of tuition for one year is $15,000. Mary's parents will pay half of this amount, which is $15,000 / 2 = $7,500. Mary has a scholarship of $4,000, so the amount she needs to save for the first year of college is:
$15,000 - $7,500 - $4,000 = $3,500
Mary has 2 years to save this amount, so she needs to save:
$3,500 / 2 = $1,750 per year
To find out how much Mary needs to save every month, we divide the yearly amount by the number of months in a year:
$1,750 / 12 = $145.83
Therefore, Mary needs to save $145.83 every month for 2 years in order to have enough money to pay for the first year of college. The answer is A. $145.83.
Answer:
A. $145.83
Step-by-step explanation:
The first year is $15,000.
Her parents are paying half.
So that means $15,000-$7500 = $7500 left.
Next subtract the scholarship of $4000.
$7500-$4000 = $3500. That's the amount left that Mary needs to save up for.
Mary has 2 years to save. That's 24 months.
$3500/24 = 145.833333333 = $145.83 per month. So pick option A.
Please help use 3 for PI and i dont know if theirs a decimal or not
3.133333333333
hope this helps :)
Answer:
192
Step-by-step explanation:
The formula for the volume of a cone is given in the problem as:
[tex]V=\dfrac{\pi r^2h}{3}[/tex]
The problem instructs us to use "3" as the value for π. (In this case, it might be helpful to think of π as a letter like "y", and we're just substituting in the value that they give us... π=3).
At the bottom of the cone, the full diameter of the circular base is given as 8 cm. The radius (the "r" in the formula) of a circle, is half of the diameter:
r = 1/2 * d
r = 1/2 * (8cm)
r = 4cm
We're also given the height ("h" in the formula) in the diagram as 12 cm. It is the height because it is the measurement of the distance from the vertex (top) to the base where the line segment measured forms a right angle (as indicated by the "square" where that line segment meets the base).
Substituting the known values into the formula, we get...
[tex]V=\dfrac{(3) (4cm)^2 (12cm)}{3}[/tex]
Simplifying/evaluating the expression, we follow order of operations (exponents, then multiplication/division)...
[tex]V=\dfrac{(3) (16cm^2) (12cm)}{3}[/tex]
[tex]V=\dfrac{576cm^3}{3}[/tex]
[tex]V=192cm^3[/tex]
A jar contains 8 pennies, 3 nickels, 5 dimes, and 2 quarters. If one coin is chosen from the jar, how many ways are there to get more than 4 cents
30
15
18
10
4 cents: by Selecting a nickel, a dime, or a quarter. Therefore, the correct answer is 3.
The number of ways to get more than 4 cents by choosing one coin from the jar, we need to consider the different combinations of coins that satisfy this condition.
Given that the jar contains 8 pennies, 3 nickels, 5 dimes, and 2 quarters, let's analyze the possibilities:
1. Selecting a penny: Since a penny is worth 1 cent, choosing any penny will result in less than 4 cents. Therefore, selecting a penny does not contribute to the count of ways to get more than 4 cents.
2. Selecting a nickel: A nickel is worth 5 cents. If we choose a nickel, we will have more than 4 cents, so this contributes to the count.
3. Selecting a dime: A dime is worth 10 cents. Choosing a dime will also result in more than 4 cents, so this contributes to the count.
4. Selecting a quarter: A quarter is worth 25 cents. Choosing a quarter will certainly give us more than 4 cents, so this also contributes to the count.
4 cents: by selecting a nickel, a dime, or a quarter. Therefore, the correct answer is 3.
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pedro owns a food truck that sells tacos and burritos. He only has enough supplies to make 140 tacos or burritos. He sells each taco for $3 and each burrito for $6. Pedro must sell a minimum of $600 worth of tacos and burritos each day. If � x represents the number of tacos sold and � y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Pedro could sell 60 tacos and 80 burritos.
Let's define the variables:
x = number of tacos sold
y = number of burritos sold
The number of tacos sold should be greater than or equal to zero:
x ≥ 0
The number of burritos sold should be greater than or equal to zero:
y ≥ 0
The total number of tacos and burritos sold should be less than or equal to the available supplies:
x + y ≤ 140
The total value of tacos and burritos sold should be greater than or equal to $600:
3x + 6y ≥ 600
To solve the system of inequalities graphically,
The feasible region is the area that is below the line x + y = 140 and above the line 3x + 6y = 600, while also satisfying x ≥ 0 and y ≥ 0.
From the feasible region, we can choose one point as (x, y) = (60, 80).
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Which of the following solutions is the most acidic?
A
a solution with a pH of 13
B
a solution with a pH of 2
C
a solution with a pH of 7
D
a solution with a pH of 9
2 is the correct answer.
The pH stands for potential of hydrogen. It measures how acidic or basic a solution is.
If a solution has a pH of less than 7, it is acidic.
A solution with a pH of exactly 7 is neutral.
If a solution has a pH of greater than 7 it is basic.
We are looking for the most acidic. The closer the number is to 0, the more acidic it is.
The answer choices are 7, 9, 13, and 2.
2 is the closest to 0, so 2 is the correct answer.
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2/3 = ___/100
Using proportional reasoning how do you show work for this problem?
To maintain proportionality put 200/3 in the blank.
The given expression
2/3 = ___/100
Consider the number is x such that
2/3 = x/100
By Cross multiplication, which involves multiplying the numerator of one fraction by the denominator of another and setting the products equal,
Then,
⇒ x = 2x100/3
⇒ x = 200/3
Hence,
The number solution is 200/3
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17 hundredths, 1 thousandth + 84 hundredths, 20 thousandths.
The value of the expression 17 hundredths, 1 thousandth + 84 hundredths, 20 thousandths is 1 unit, 3 hundredths and 1 thousandth
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
17 hundredths, 1 thousandth + 84 hundredths, 20 thousandths.
Express the place values to decimal
So, we have
17 hundredths, 1 thousandth + 84 hundredths, 20 thousandths. = 0.171 + 0.86
Evaluate the sum
17 hundredths, 1 thousandth + 84 hundredths, 20 thousandths. = 1.031
Convert to place values
17 hundredths, 1 thousandth + 84 hundredths, 20 thousandths. = 1 unit, 3 hundredths and 1 thousandth
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1.2.2 Quiz: Types of Economic Systems Question 1 of 10 In a market economy, decisions about which goods are produced are based on:
A. what the government decides is important for society.
B. what the local community has made for generations.
C. what businesses believe will generate the most profits.
D. what health care organizations suggest will be best for citizens.
In a market economy, decisions about which goods are produced are based on what businesses believe will generate the most profits.
Option C is the correct answer.
We have,
In this economic system, the production and distribution of goods and services are determined by the interactions of buyers and sellers in the marketplace.
Prices are set based on supply and demand, and businesses produce goods and services based on what they believe consumers will want to buy.
The government's role is limited, and it does not typically interfere in the market.
The main driving force in a market economy is the profit motive, which incentivizes businesses to produce goods and services that are in demand and to compete with other businesses to attract customers.
Thus,
In a market economy, decisions about which goods are produced are based on what businesses believe will generate the most profits.
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In a class of 50 people, 30 said that they spend more than 2 hours playing video games. If this was a true sample, how many students out of the 800 in the school would say they also spend more than 2 hours playing video games?
Answer: 480
Step-by-step explanation:
Find the value of X.
The value of x, considering the two secant theorem, is given as follows:
x = 38.
What is the two secant theorem?The two secant theorem states that the angle measure of intersection of the two secant segments is half the difference of the measure of the far arc by the measure of the near arc.
The parameters for this problem are given as follows:
Angle of intersection of 34º.Near arc of x + 6.Far arc of 3x - 2.Hence the value of x is given as follows:
[3x - 2 - (x + 6)]/2 = 34
2x - 8 = 68
2x = 76
x = 38.
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Can someone explain this problem to me?
a) There are 4,845 ways to create a committee of 4 parents.
b) There are 177,100 ways to create a committee of 6 members.
c) There are 303,600 ways to choose a president, vice president, secretary, and treasurer from the PTA group.
a. The number of ways a committee of 4 parents can be created is given by the combination formula:
C(20,4) = 20! / (4! x (20-4)!) = 4845
Therefore, there are 4,845 ways to create a committee of 4 parents.
b. The number of ways a committee of 6 members can be created from a group of 20 parents and 5 teachers is given by:
C(20+5,6) = C(25,6) = 25! / (6! x (25-6)!) = 177,100
Therefore, there are 177,100 ways to create a committee of 6 members.
c. The number of ways a president, vice president, secretary, and treasurer can be chosen from the entire PTA group of 25 people is given by:
P(25,4) = 25 x 24 x 23 x 22 = 303,600
Therefore, there are 303,600 ways to choose a president, vice president, secretary, and treasurer from the PTA group.
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At 40 feet away from a building, the angle of elevation to the top of the building is 55°
What is the height of the building?
The height of the building is approximately 57.13 feet.
We can use trigonometry to solve this problem. Let's call the height of the building "h".
We know that the angle of elevation to the top of the building is 55°, which means that the angle formed by the horizontal line and the line of sight to the top of the building is also 55°.
We can draw a right triangle with the height of the building as one leg, the distance from the building as the other leg, and the line of sight to the top of the building as the hypotenuse.
Using the tangent function, we can write:
tan(55°) = h / 40
To solve for h, we can multiply both sides by 40:
h = 40 x tan(55°)
Using a calculator, we can find that:
h ≈ 57.13 feet
Therefore, the height of the building is approximately 57.13 feet.
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Help please I wil give brainlest to the correct answer
Using Pythagoren's theorem, we can see that the value of L is 3.61 meters.
How to find the length of L?We can define a right triangle, such that the cathetus are:
A = 1.4 m (the height of the roof).
B = 3m (half of the base of the roof)
And the hipotenuse is L - 0.3m (we subtract the part that goes outside the triangle).
Using Pythagoren's theorem, we can write:
(1.4)² + (3)² = (L - 0.3)²
Now we can solve that for L, we will get:
(1.4)² + (3)² = (L - 0.3)²
10.96 = (L - 0.3)²
√10.96 + 0.3 = L
3.61 = L
The length of L is 3.61 meters.
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5 odd numbers equal to 32
5 odd numbers equal to 32 has no solutions.
How do we explain?An odd numbers is described as any number that cannot be divided into two separate integers evenly.
The equation above will have no possible solutions because it does not follow with regards to parity.
odd + odd = even
even + even = even
even + odd = odd
In the case of 5 odd numbers,
odd + odd + odd + odd + odd
= even + even + odd
= even + odd
= odd
The above will remain true irrespective of the numbers being either positive or negative.
In conclusion, the answer in the equation provided to us is 32 which is an even number, hence no solution sets.
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You own 10 CDs. You want to randomly arrange 9 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? Be sure to leave your answer as a fraction in order to earn credit.
The probability of the rack ending up in Alphabetical order is 1/3,628,800.
The total number of ways to arrange 9 CDs out of 10 is given by the permutation formula:
P(10,9) = 10!/1! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 = 3,628,800
Out of these arrangements, there is only one way for the CDs to be in alphabetical order.
Therefore, the probability of randomly selecting 9 CDs out of 10 and arranging them in alphabetical order is:
1/3,628,800
This can be simplified as:
1/10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 = 1/3,628,800
So the probability of the rack ending up in alphabetical order is 1/3,628,800.
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Find the value of y.
The value of y is 25° using the secant - secant theorem.
Here given is a circle.
We have to find the value of y, which is the angle formed by two secants outside the circle.
Consider the 2 chords which are intersected at a point on a circle.
This angle formed at the intersection is inscribed angle.
Inscribed angle = 15°
Central angle of an arc is twice the measure of the inscribed angle formed by the end points of the arc.
Measure of the arc formed by these chords = 2 × 15° = 30°
We have the theorem that, "measure of angle formed by two secants outside the circle is half of the difference of their intercepted arcs."
Using this,
y = (80° - 30°) / 2
= 25°
Hence y = 25°.
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Which monomial is a perfect cube?49p9q3r2481p12q15r12121p9q3r6343p6q21r6
The monomial that is a perfect cube is (d) 343p⁶q²¹r⁶
How to determine the monomial that is a perfect cube?From the question, we have the following parameters that can be used in our computation:
The expressions in the list of options
All the expressions are monomial
By definition, a monomial that is a perfect cube is represented as
a³
Using the above as a guide, we have
option (d) 343p⁶q²¹r⁶
When expressed as perfect cube monomial, we have
343p⁶q²¹r⁶ = (7p²q⁷r²)³
Hence, the monomial that is a perfect cube is (d) 343p⁶q²¹r⁶
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Suppose you want to have $600,000 for retirement in 35 years. Your account earns 7% interest. Round your answers to the nearest cent.
a) How much would you need to deposit in the account each month?
$
b) How much interest will you earn?
Answer:
To calculate the monthly deposit needed for retirement, we can use the formula for the future value of an annuity:
FV = PMT x [(1 + r)^n - 1] / r
where FV is the future value (in this case, $600,000), PMT is the monthly payment, r is the monthly interest rate (7% divided by 12 months), and n is the number of months (35 years times 12 months per year = 420 months).
a) Plugging in the given values, we get:
$600,000 = PMT x [(1 + 0.07/12)^420 - 1] / (0.07/12)
Solving for PMT, we get:
PMT = $600,000 / [(1 + 0.07/12)^420 - 1] / (0.07/12)
PMT = $600,000 / 196.2603
PMT = $3,057.16
Therefore, you would need to deposit approximately $3,057.16 each month to have $600,000 for retirement in 35 years.
b) To calculate the interest earned, we can subtract the total amount deposited from the total future value:
Total amount deposited = $3,057.16 x 420 months = $1,284,319.20
Interest earned = $600,000 - $1,284,319.20
Interest earned = -$684,319.20
Since the interest earned is negative, this means that the total amount deposited is actually greater than the future value at retirement. However, it's important to note that this calculation assumes a fixed monthly payment and interest rate, and does not take into account inflation or other factors that may affect the actual amount needed for retirement.
A chef has two dozen meatballs to add to a pot of sauce. Each meatball has a two-inch diameter. Before the meatballs are added, the sauce is 2 inches from the top of the 9-inch diameter pot. Will the sauce spill over when the chef adds the meatballs to the pot? Show your work to justify your answer.
The sauce will not spill over when the chef adds the meatballs to the pot because the total volume of the meatballs is much smaller than the remaining volume of the pot.
What is the remaining volume of the pot and total volume of meatballs?The volume of one meatball:
The radius of one meatball = 1 inch
Volume of one meatball = 4/3 × π × (1)²
The volume of one meatball = 4.19 in³
The total volume of the meatballs = 24 × 4.19
The total volume of meatballs = 100.56 in³
The remaining volume of the pot will be:
The radius of the pot is 9/2 inches= 4.5 inches
The height of the pot is (9 - 2) = 7 inches
The volume of the pot remaining = π × (4.5 inches)² × 7
The volume of the pot remaining = 446.63 cubic inches
The volume of the pot remaining is far greater than the volume of the meatballs, hence, it would not spill over.
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A landscape architect accrued $7,883.42 in credit card debt. If the architect makes a monthly payment of $500 (and makes no additional charges on the account), how many months will it take to repay the debt if the annual interest rate on the credit card is 19.2%? (Round your answer up to the nearest month.)
Rounding up to the nearest month, it will take 24 months (2 years) to pay off the debt.
To solve this problem, we need to use the formula for the monthly payment on a credit card:
[tex]M = (Pr(1 + r)^n) / ((1 + r)^n - 1)[/tex]
where:
M is the monthly payment
P is the principal (the amount of the debt)
The yearly interest rate is divided by 12 to get the monthly interest rate, or r.
n is the number of months it will take to pay off the debt
We know that the principal is 7,883.42 and the monthly payment is 500. We need to find n.
We must first figure out the interest rate every month:
r = 0.192 / 12 = 0.016
Next, we can rearrange the formula to solve for n:
n = log(M / (M - Pr)) / log(1 + r)
Substituting the values we know:
n = log(500 / (500 - 7883.42 × 0.016)) / log(1 + 0.016)
n = 23.5
Rounding up to the nearest month, it will take 24 months (2 years) to pay off the debt.
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Please help me solve this, I don’t remember this from a while ago.
a) The independent variable is x and the dependent variable is y
b) Domain and range of the function is solved
c) The function to find the temperature at 10 hours is f ( 10 )
d) The time for temperature when it is 10°F is f ( x ) = 10
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is given as
The independent variable is the variable that can be changed or varied by the person performing the experiment or analysis. It is the input to the function
And , the dependent variable is the output of the function = y
Now , domain of a function is the set of values that we are allowed to plug into our function and range is the set of outputs of a relation or function
where function to find the temperature at 10 hours is f ( 10 )
And , time for temperature when it is 10°F is f ( x ) = 10
Hence , the function is solved
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What system is Y equals negative 2X +3
The system Y = -2x + 3 is a linear equation that shows how y changes depending on x.
What is a linear equation?A linear equation is an equation of a straight line written in the form of y = mx + b.
In a linear equation or function, m is the slope, and b is the y-intercept, and it shows how the dependent variable, y, changes as the input (independent variable), x, changes by a constant rate (slope).
When m < 0, the line goes down from left to right. When m = 0, the line is horizontal. A bigger absolute value of the slope, m, increases the steepness of the line.
The y-intercept b determines the value of y when x = 0.
The slope, m = -2
The y-intercept, b = 3
For example, if x = 6, y = -2(6) + 3 = -9.
Thus, the equation y = -2x + 3 is linear.
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Complete Question:What system is Y = -2x + 3?
what is 22 x 22 ? i need helpneed helpneed helpneed helpneed helpneed helpneed helpneed help
Answer:
484
Step-by-step explanation:
22 +22
20 times
22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+=484
Help what is the measure in degrees of angle B
Answer Summary: Angle B measures 60°. The measure of the angle that is complementary to angle B is 30°.
Step-by-step
hope it helps
A grocery store charges $3.25 per gallon of fruit juice. The total cost c of g gallons of fruit punch is equal to 3.25 times g. The rule is
3.25g.
Fill in the table below using the rule to find the total cost of buying 2, 3, or 4 gallons of juice.
The given table filled using the rule to find the total cost of buying 2, 3, or 4 gallons of juice are $6.5, $9.75 and $13 respectively.
What is the total cost in gallons?Charges per gallon of fruit juice = $3.25
Total cost, c = 3.25 × g
= 3.25g
Where,
g = number of gallons
When g = 2
c = 3.25 × g
c = 3.25 × 2
c = $6.5
When g = 3
c = 3.25 × g
= 3.25 × 3
= $9.75
When g = 4
c = 3.25 × g
c = 3.25 × 4
= $13
Therefore, $6.5, $9.75 and $13 represents total cost for 2, 3 and 4 gallons respectively.
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What’s five equivalent fraction to 7 over 8
The value of five equivalent fraction to 7 over 8 are,
⇒ 14 / 16
⇒ 21/ 24
⇒ 28 / 32
⇒ 35 / 40
⇒ 42/ 48
We have to given that;
The fraction is,
⇒ 7 / 8
Now, We can find all the equivalent fraction as;
⇒ 7 / 8
⇒ 7 × 2 / 8 × 2
⇒ 14 / 16
⇒ 7×3 / 8×3
⇒ 21 / 24
⇒ 7×4 / 8×4
⇒ 28 / 32
⇒ 7 × 5 / 8 × 5
⇒ 35 / 40
⇒ 7 × 6 / 8 × 6
⇒ 42 / 48
Thus, The value of five equivalent fraction to 7 over 8 are,
⇒ 14 / 16
⇒ 21/ 24
⇒ 28 / 32
⇒ 35 / 40
⇒ 42/ 48
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In a grocery store, a 32 oz package of brown rice costs $3.49. What is the price per ounce?
Answer:
0.1090625 = approx $0.11 per ounce
Step-by-step explanation:
Divide the price by ounces.
3.49/32 = 0.1090625 = approx $0.11 per ounce
Henry vendió algunos libros a 24 dólares cada uno y tuvo
suficiente dinero para comprar unos boletos para un concierto a
50 dólares cada uno. Henry se quedó sin dinero después de
comprar los boletos. ¿Cuál es la cantidad mínima de dinero que
pudo haber ganado al vender los libros? ¿Cuál es el número
mínimo de libros que pudo haber vendido?
The minimum number of books he could have sold is 3.
We are given that;
Cost of book= 24dollars
Now,
To find the minimum value of x that satisfies this inequality, we need to find the smallest value of x such that ceil((12/25)x) >= 1. This happens when x = 3, which gives y = ceil((12/25)x) = ceil(1.44) = 2. Therefore, another possible solution is (x,y) = (3,2), which means that Henry sold 3 books and bought 2 tickets.
This solution is smaller than the previous one, so it is the minimum solution when x and y are integers.
Therefore, by algebra the answer will be 3.
More about the Algebra link is given below.
brainly.com/question/953809
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The complete question is;
Henry sold some books at 24 dollars each and had enough money to buy some tickets for a concert at 50 dollars each. Henry ran out of money after buying the tickets. What is the minimum amount of money that he could have earned by selling the books? What is the minimum number of books he could have sold?
A jar has five red balls and five blue balls. You have to draw any two balls from the jar. You do not replace the first ball in the jar before drawing the second ball. If the first ball is red and is not replaced in the jar, what is the probability that the second ball is blue?
Answer:
5/9ths or 0.5556
Step-by-step explanation:
because you have already removed one red ball, that means that there are 4 red balls and 5 blue balls. Adding the balls together, you have 9 balls. therefore you have a 5/9 chance to pick a blue ball.
