The probability of selecting a yellow, black, or teal gumball is 0.3, indicating a 30% chance of randomly picking one of these three colors from the bag. Option B
To determine the probability of selecting a yellow, black, or teal gumball, we need to calculate the ratio of the number of favorable outcomes (yellow, black, or teal gumballs) to the total number of possible outcomes (the total number of gumballs in the bag).
Given that the bag contains an equal amount of each color gumball, we can assume that there are 10 gumballs of each color. Therefore, the total number of gumballs in the bag is 10 * 10 = 100.
The number of favorable outcomes is the sum of the number of yellow, black, and teal gumballs, which is 10 (for each color).
Hence, the probability of selecting a yellow, black, or teal gumball is:
P(yellow, black, or teal) = (Number of favorable outcomes) / (Total number of possible outcomes)
= (10 + 10 + 10) / 100
= 30 / 100
= 0.3
Therefore, the correct answer is B. 0.3.
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Samuel buys office supplies for his home buissness
Answer:
What supplies?
Step-by-step explanation:
14. How many ways can 3 green marbles and 6 red marbles be arranged?
To find out how many ways we have to order 3 green marbles (G) and 6 red marbles (R) we use the formula the combination
\(\frac{(G+R)!}{G!R!}\)\(\frac{(3+6)!}{3!\cdot6!}=\frac{9!}{3!\cdot6!}=\frac{362,880}{(6)\cdot(720)}=\frac{362,880}{4320}=84\)There are 84 ways to organize the red and the green marblesMake up a word problem or scenario that uses the equation 7p+10=24. Make sure to elaborate as much as possible.
Given:
The equation is \(7p+10=24\).
To find:
The scenario that uses the given equation.
Solution:
If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units.
According to this scenario,
Total supply = 10+7p
Equate total supply with 24, to find the price at which the supply will be 24 units.
\(7p+10=24\)
Therefore, the required scenario is "If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units."
you can speed from 0 to 25 m/s in 25 seconds and your friend can speed up from 0 to 6 m/s in 6 seconds. who is faster
Answer:
Neither; see below
Step-by-step explanation:
Your acceleration: \(a=\frac{\Delta v}{\Delta t}=\frac{25-0}{25}=1m/s^2\)
Your friend's acceleration: \(a=\frac{\Delta v}{\Delta t}=\frac{6-0}{6}=1m/s^2\)
Therefore, since both you and your friend accelerate at the same rate, neither is faster.
What is the shape of the cross section formed by a plane slicing parallel to the base?
A) rectangle
B) square
C)circle
D) triangle
Answer:
triangle
Step-by-step explanation:
Answer:
triangle
Step-by-step explanation:
Please can someone who knows the right answer help me? From a group of 5 boys and 3 girls, a boy and a girl will be selected to attend a conference. In how many ways can the select be made?
The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.
To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.
The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.
To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.
Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.
Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).
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whats the greatest common factor of 40,80 and 100?
Answer: 20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
Factors of 40: 1,2,4,5,8,10,20,40
Factors of 80: 1,2,4,5,8,10,16,20,40,80
Factors of 100: 1,2,4,5,10,20,25,50,100
The greatest common factor is 20
For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling
The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling
What is a Ratio?
A quantitative relation between two amounts showing the number of times one value contains in another
1 part produced ⇒ 5 ounces scrap aluminium recycled.
So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)
Let us assume for m parts produced , 1 ton of scrap is recycled.
Also, 1 ton = 2, 000 pounds
and 1 pound = 16 ounces
⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces
So, for m parts made in the factory, 32,000 ounces scrap is recycled.
So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)
From both the given ratio, we get
1 : 5 = m : 32,000
m=32000/5
m=6400
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Given that u=(2, - 1,1),v=(1,1)
Hi i would like some help with this asap
The constant of variation for the given graph is 1/4.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given that the equation of the line in the graph is a direct variation equation.
Direct variation equations are of the form,
y = k x, where k is a constant number called constant of variation.
We have to find the value of k.
y = k x is an equation in slope intercept form where k is the slope and the value of y intercept is 0, since the line passes through origin (0, 0).
It is enough to find the slope of the given line.
Take two points from the graph, let it be (4, 1) and (-4, -1).
Slope = (-1 - 1) / (-4 - 4) = -2 / -8 = 1/4
The value of k is 1/4.
Hence the value of constant of variation is 1/4.
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How to find the marginal cost
Answer:
Marginal Cost=Change in Total Cost/Change in Total Quantity
Step-by-step explanation:
Marginal cost is calculated by dividing the change in total cost by the change in quantity. Let us say that Business A is producing 100 units at a cost of £100. The business then produces at additional 100 units at a cost of £90. So the marginal cost would be the change in total cost, which is £90. Divided by the change in quantity, which is the additional 100 units. That gives us: £90/100, which equals £0.90 per unit as the marginal cost.
A coordinate grid with a line passing through (negative 4, 0) and (0, negative 8)
The line y = –2x – 8 is graphed. Which ordered pairs are solutions to the equation? Check all that apply.
(–8, 8)
(–6, 2)
(–2, 4)
(0, –4)
(2, –12)
Answer: The answers are (-8,8) and (2,-12)
Step-by-step explanation: I substituted the coordinates into the equations and on both sides they matched!
Hope this helps! :3
The graph below shows the price charged by a small-engine repair company for repairing lawn mowers. What is the rate of change?
To find the rate of change
Simply calculate the slope of the line
From the graph the two points are given
\((0,0),(5,150)\)The slope of the line can be calculated using
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where m is the slope of the line
From the given points
\(\begin{gathered} x_1=0,x_2=5 \\ y_1=0,y_2=150 \end{gathered}\)Substitute the values into the equation
This gives
\(m=\frac{150-0}{5-0}\)Simplify further
\(\begin{gathered} m=\frac{150}{5} \\ m=30 \end{gathered}\)Since the slope og the line is 30
This implies that the rate of change is $30
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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What operation sign do I put between 1 9 6 2 1 8 = 109?
Therefore , the solution of the given problem of expressions comes out to be the operation sign to put between the numbers is a combination of addition (+), subtraction (-), multiplication (*).
Expression : What is it?With shifting variables, estimates that mix joining, deactivating, and random division should be made. They could accomplish the following if they united: A math problem, some facts, and software. Formulas, parts, and arithmetic operations like additions, subtractions, omissions, and groupings can all be found in a declaration of truth. Both words and sentences can be evaluated and analysed.
Here,
The given numbers must be separated by operation signs to make the equation 1 9 6 2 1 8 = 109, which is a true mathematical expression.
There are numerous possible operations that could be combined to produce the number 109, but one is feasible:
=> 1 + 9 - 6 * 2 + 1 * 8 = 109
By combining these processes, we obtain:
=> 1 + 9 = 10
=> 6 * 2 = 12
=> 1 * 8 = 8
=> 10 - 12 + 8 = 6
=> 6 + 1 = 7
=> 7 * 2 = 14
=> 14 + 8 = 22
=> 22 * 5 = 110
=> 110 - 1 = 109
Therefore, the operation sign to put between the numbers is a combination of addition (+), subtraction (-), multiplication (*), and parentheses to indicate the order of operations.
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Cafeteria A has 7 packs of granola bars and 12 loose granola bars. Cafeteria B has 3 packs of granola bars and 84 loose granola bars. If the cafeterias have
the same number of granola bars, how many are in each package?
Each package has 18 granola bars.
Step-by-step explanation:This problem can be solved through a system of linear equations.
1. Form the equations.Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.
For cafeteria A: \(7x+12=y\)
For cafeteria B: \(3x+84=y\)
Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.
\(7x+12=3x+84\).
3. Solve for x.\(7x+12=3x+84\)
\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.
\(4x=72\) --> Simplify by solving the substraction.
\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.
\(x= 18\)
4. Substitute the vallue of x by x on any of the equations.\(y=7(18)+12\\ \\y=138.\)
5. Interpret the results.If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.
increase 240 by 46%
i csnt do this question
Answer:
Step-by-step explanation:
for the following reasons we need a new way of calculating a value for a value that we are using in our own example of the function we use to define the function we are calling to the object we want in the function of our own object in our example.
In the last year,a total of 14,905 earthquakes occurred in a country. Of these,88.8% were minor tremors with magnitude of 4.9 or less on the Richter scale. How many minor earthquakes occurred in the country in the last year?
Answer:
13,236 minor earthquakes occurred
Step-by-step explanation:
\(\frac{Part}{Total}\)
"x" part amount of earthquakes
14,905 total amount of earthquakes
88.8 % part percentage of earthquakes
100% total percentage of earthquakes
\(\frac{x}{14905}\) = \(\frac{88.8}{100}\)
x = 14,905 × \(\frac{88.8}{100}\)
x = 14,905 × 0.888 = 13,235.64 ≈ 13,236 minor earthquakes occurred
A triangle has side lengths of (8s + 8) centimeters, (s +9) centimeters, and
(8t - 1) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answer:
Step-by-step explanation:
(16.2t+3.4u+2.9)cm
Step-by-step explanation:
A triangle is a plane shape that has three sides. The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm
find the measure of angle A
Answer:
do 5x-27+7x-26=10x-23 because sum of two interior angle of a triangle is equal to the sum of one exterior angle and don't forget because it comes daily in exam
I need help! (show how you got the answer) -1\2x
Answer:
please explain what you mean better
Step-by-step explanation:
PLEASE ANSWER ASAP
Each month your cell phone company charges you $ 50 for your plan plus 4 cents for each text you send. You have $ 90 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send _____________ texts this month in order to stay within your budget.
Answer:
I think you can send 1000 texts
Step-by-step explanation:
cuz you have 90 dollars take away 50 that the phone bill costs you're left with 40 the text costs 4 cents every time that means if you multiply 0.04 by 1000 is 40 dollars thas all I got hope it helps
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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Factor 48-6 using GCF
Answer:
I think the answer is six i just searched it or it could be 12
Step-by-step explanation:
The greatest common factor (GCF) of 48 and 6 is 6, so:
48 - 6 = 42.
this isn't college level *laugh*
how much is 40% out of 16.32
Answer:
6.528
Step-by-step explanation:
just multiply 16.32 by .4
74,626,831.08 ROUNDED TO THE TENTH.
Answer:
74,626,831.1
Step-by-step explanation:
You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.
What are the numbers and called in a number line ??
Answer:
numbers
Step-by-step explanation:
numbers
Question 1: A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse?
A)Right
B)Obtuse
C)Can't be determined
D) Acute
Question 2: A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?
A)0.33 feet
B)3.75 feet
C)3 feet
D)5 feet
Question 3: A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
A)Acute
B)Right
C)Can't be determined
D)Obtuse
Question 4: Two friends are standing at opposite corners of a rectangular courtyard. The dimensions of the courtyard are 12 ft. by 25 ft. How far apart are the friends?
A)21.34 ft.
B)21.93 ft.
C)27.73 ft.
D)19.21 ft.
Answer:
Question 1 = D) Acute
Question 2 = C)3 feet
Question 3 = D) Obtuse
Question 4 = C)27.73 ft.
Step-by-step explanation:
Question 1: A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse?
In order to be able to accurately classify that a triangle with 3 given sides is either a right , acute or obtuse angle, we use the Pythagoras Theorem
Where:
If a² + b² = c² = Right angle triangle
If a² +b² > c² = Acute triangle.
If a² +b² < c² = Obtuse triangle.
It is important to note that the length ‘‘c′′ is always the longest.
Therefore, for the above question, we have lengths
5 = a, 6 = b and c = 7
a² + b² = c²
5² + 6² = 7²
25 + 36 = 49
61 = 49
61 ≠ 49, Hence 61 > 49
Therefore, this is an Acute Triangle
Question 2: A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?
This is question that deals with proportion.
The formula to solve for this:
Height of the statue/ Length of the shadow of the person = Height of the person/ Length of the shadow of the person
Height of the statue = 15 feet
Length of the shadow of the person = 20 feet
Height of the person = unknown
Length of the shadow of the person = 4
15/ 20 = Height of the person/4
Cross Multiply
15 × 4 = 20 × Height of the person
Height of the person = 15 × 4/20
= 60/20
Height of the person = 3 feet
Therefore, the person is 3 feet tall.
Question 3: A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
In order to be able to accurately classify that a triangle with 3 given sides is either a right , acute or obtuse angle, we use the Pythagoras Theorem
Where:
If a² + b² = c² = Right angle triangle
If a² +b² > c² = Acute triangle.
If a² +b² < c² = Obtuse triangle.
It is important to note that the length ‘‘c′′ is always the longest.
Therefore, for the above question, we have lengths 17, 12, 9
9 = a, 12 = b and c = 17
a² + b² = c²
9² + 12² = 17²
81 + 144 = 289
225 = 289
225 ≠ 289
225 < 289
Hence, This is an Obtuse Triangle.
Question 4: Two friends are standing at opposite corners of a rectangular courtyard. The dimensions of the courtyard are 12 ft. by 25 ft. How far apart are the friends?
To calculate how far apart the two friends are we use the formula
Distance = √ ( Length² + Breadth²)
We are given dimensions: 12ft by 25ft
Length = 12ft
Breadth = 25ft
Distance = √(12ft)² + (25ft)²
Distance = √144ft²+ 625ft²
Distance = √769ft²
Distance = 27.730849248ft
Approximately ≈27.73ft
Therefore, the friends are 27.73ft apart.
Determine whether (1,1) and (-1,4) are solutions to 2x+5y<7
Answer:
Step-by-step explanation:
1,1 is a solution