So, 600 full cup would be able to be filled from the cooler. This can be solved using the concept of volume of cylinder.
What is volume of cylinder?The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The measure of space within a cylinder is measured by its volume. Find it by dividing the base area by the height. V = πr²h is the formula for the volume of a cylinder with base radius "r" and height "h."
Given that,
diameter of cylinder = 30 inch
diameter of cup = 3 inch
height of cylinder = 24 inch
height of cup = 4 inch
Calculate the volume of the cylinder:
Volume = πr²h
putting the values we get:
Volume = (3.14)(30/2)²(24)
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
Volume = 16959 in³
Calculate the volume of the cup:
Volume = (3.14)(3/2)²(4)
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
Result
Volume = 28.26 in³
Divide the volume of the cylinder by the volume of the cup, we get:
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
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In a jar, the ratio of dimes to nickels is 3.4. Given that there are 60 nickels in the jar, how many more nickels are in the jar than dimes?.
Answer:
15
Step-by-step explanation:
the nickels ratio is 4. I then divided 60 : 4 = 15. I then timesed 15 with 3 and then came out 45. I then subtracted 60 with 45 which gave me the answer of 15.
in a deck of 52 cards, how many different groups five cards can you be dealt
Question: in a deck of 52 cards, how many different groups five cards can you be dealt.
Answer: the number of ways of choosing an unordered set of 5 cards from a 52-card deck. Your 52! 47! is the number of ways to deal 5 cards: it counts each of the 5! =120 possible dealing orders of a given hand separately.
have a good day
A bag contains 10 pieces of paper, numbered 1 through 10with a different number on each piece of paper. A second bag contains 8 pieces of paper, numbered 20 through 27with different number on each piece of paper. One piece of paper is drawn random from each bag. What is the expected value of the sum of the numbers on the two selected pieces of paper
To find the expected value of the sum of the numbers on the two selected pieces of paper, we need to calculate the probability of each possible outcome and then multiply that probability by the value of the outcome. The expected value of the sum of the numbers on the two selected pieces of paper is 6.1625.
Therefore the answer is 6.1625.
The possible outcomes for the first bag are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, each with a probability of 1/10.
The possible outcomes for the second bag are 20, 21, 22, 23, 24, 25, 26, 27, each with a probability of 1/8.
The possible outcomes for the sum of the numbers on the two selected pieces of paper are:
(1,20) ,(1,21) ,(1,22) ,(1,23) ,(1,24) ,(1,25) ,(1,26) ,(1,27)
(2,20) ,(2,21) ,(2,22) ,(2,23) ,(2,24) ,(2,25) ,(2,26) ,(2,27)
(3,20) ,(3,21) ,(3,22) ,(3,23) ,(3,24) ,(3,25) ,(3,26) ,(3,27)
...
(10,20) ,(10,21) ,(10,22) ,(10,23) ,(10,24) ,(10,25) ,(10,26) ,(10,27)
The expected value of the sum of the numbers on the two selected pieces of paper is the sum of the products of each possible outcome and its corresponding probability.
The probability of each outcome is (1/10) * (1/8) = 1/80
So the expected value of the sum of the numbers on the two selected pieces of paper is
(1 + 21)×(1/80) + (1 + 22)×(1/80) + (1 + 23)×(1/80) + (1 + 24)×(1/80) + .... + (10 + 27)×(1/80) = (21 + 22 + 23 + 24 + ... + 37)/80
= (20×17 + 1 + 2 + ... + 17)/80
= (340 + 17×(17 + 1)/ 2)/ 80
= (340 + 17×9)/ 80
= 6.1625
So the expected value of the sum of the numbers on the two selected pieces of paper is 6.1625
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Order these numbers from least to greatest.
2.24, 2.204, 2.2412, 2.3
Answer:
(Least)
2.204
2.24
2.2412
2.3
(Greatest)
Answer:
2.3 2.2412 2.24 2.204
Step-by-step explanation:
The baseball team has a double-header on Saturday. The probability that they will win both games is 42%. The probability that they will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?
Answer:
24%
Step-by-step explanation:
assign a variable x:
Find the average and solve for x by isolating the variable:
(x+60%)÷2=42%
multiply on both sides, left side cancels, multiply right side
(x+60%)÷2 *2= 42%*2
x+60% = 84%
subtract on both sides, left side cancels, subtract right side
x+60% - 60%=84% - 60%
x=24%
Q2.In how many hours can they bake 250 bagels?
Answer:
2 hours!
Step-by-step explanation:
Swimming Pool On a certain hot summers day, 498 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adult. The receipts for admission totaled $920.00. How many children and how many adults swam at the public pool that day?
If Swimming Pool On a certain hot summers day, 498 people used the public swimming pool. The number of children is 325 and the number of adult is 173.
How to find the number of children and adult that swam?Children = x
Adults = y
x + y = 498 Equation .....1
1.50x + 2.50y = 920 Equation ...2
Multiply (1) by 2.50
2.50x + 2.50y = 1,245 Equation Equation ....3
1.50x + 2.50y = 920 Equation ...2
Subtract (2) from (3)
1x = 325
x = 325/1
x = 325 (Children)
Substitute x = 325 in (1)
x + y = 498
325 + y = 498
y = 498 - 325
y = 173 (Adult)
Therefore 325 children and 173 adults swam at the pool.
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I need it fast/ no jokes or links please just the answer
Answer:
J
Step-by-step explanation:
4x + 4y = -8
-2x - 2y = 4
Answer: To solve this system of equations, you can use the substitution method.
First, you can solve one of the equations for one of the variables in terms of the other. For example, you can solve the first equation for y:
y = (-4x - 8)/4
Then, you can substitute this expression for y into the second equation to find the value of x:
-2x - 2((-4x - 8)/4) = 4
-2x + 4x + 8 = 4
2x = -4
x = -2
You can then substitute this value of x back into the first equation to find the value of y:
y = (-4(-2) - 8)/4 = (8 - 8)/4 = 0
Thus, the solution to the system of equations is x = -2 and y = 0.
Step-by-step explanation:
A company sells bicycle locks with a combination made of 3 numbers. Each number can be any digit from 0 to 9 and the digits may be
repeated.
One of these locks is chosen at random. What is the probability that the middle digit is 0?
A
1000
B. 27
CHO
Answer:
1/10
Step-by-step explanation:
There can be 10 total digits in the tens place: 0,1,2,3,4,5,6,7,8,9
if the middle is 0 the probability is 10%
The probability that the middle digit is 0 is 1/10.
What is the combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
A company sells bicycle locks with a combination made of 3 numbers.
Each number can be any digit from 0 to 9 and the digits may be repeated.
One of these locks is chosen at random.
There can be 10 total digits in the tens place: 0,1,2,3,4,5,6,7,8,9.
The probability that the middle digit is 0 is given by;
[tex]\rm Probability=\dfrac{Probability \ of \ middle \ digit \ 0}{Total \ number \ of \ digits}\\\\\ Probability=\dfrac{1}{10}[/tex]
Hence, the probability that the middle digit is 0 is 1/10.
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Approximate the value of √5 to the nearest hunderedth.
Answer:
2.27
Step-by-step explanation:
The day before Gerardo returned from a two-week trip, he wondered if he left his plants inside his apartment or outside
on his deck. He knows these facts:
• If his plants are indoors, he must water them at least once a week or they will die.
• If he leaves his plants outdoors and it rains, then he does not have to water them. Otherwise, he must water them at
least once a week or they will die.
. It has not rained in his town for 2 weeks.
When Gerardo returns, will his plants be dead? Explain your reasoning.
If his plants are indoors, he must water them at least once a week or they will die.
What would you say about an indoor plant?A houseplant is an attractive plant that is cultivated indoors. It is sometimes referred to as a potted plant, potted plant, or an indoor plant. As a result, they are typically seen for ornamental reasons in settings like homes and businesses.Not only do indoor plants improve a room's overall beauty, but studies have also shown that they improve emotions, promote creativity, lower stress levels, and remove air pollutants, all of which contribute to a happier and healthier you. Indoor plants may improve our mood in addition to improving their appearance.If his plants are indoors, he must water them at least once a week or they will die.To learn more about houseplant refer to:
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help pls this thing has to be 20 characters sooooo
Answer:
3 x 2.5 x 2.5 = 6.325 centimeter cubed
Step-by-step explanation:
mark me brainliest please
formula for a prism is L x W x H
Answer:
18.75 cm³
Step-by-step explanation:
3 × 2.5 × 2.5
18.75
If a1 = 7 and an = An-1 – 3 then find the value of a4.
Answer:
-2
Step-by-step explanation:
If a1 = 7 and an = An-1 – 3
a4 = a3 - 3
Get a2;
a2 = a1 - 3
a2 = 7 - 3
a2 = 4
Get a3;
a3 = a2 - 3
a3 = 4 - 3
a3 = 1
GEt the required a4
a4 = a3 - 3
a4 = 1 - 3
a4 = -2
Hence the value of a4 is -2
What is complete angle Class 7?
The angle with the measure 360° is known as a complete angle. A complete angle is one full rotation measuring 360°.
When the final point coincides with the initial point, after one whole rotation, then the angle so created is known as the complete angle. A complete angle is also known as a full angle or a round angle.
The measure of a complete angle is equal to 2π radians = 360 degrees which is the central angle of a circle. Also, if we combine four right angles or two straight angles it makes a complete angle. A complete angle is identical to a zero angle but the difference is only the amount of rotation.
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Hey I need help with this problem here in the picture, would rlly appreciate some quick help
Using the Pythagoras Theorem the value of c=11.40 and the number that goes beneath the radical is 130.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
The rectangle is divided into two triangles which have exactly same sides.
So take any one triangle.
Apply the Pythagoras theorem since it is a right-angled triangle with base = 9 and perpendicular = 7.
So, according to Pythagoras theorem -
(Hypotenuse)^2=(Base)^2+(Perpendicular)^2
Plugging in the values in the equation -
c^2=(9)^2+(7)^2
c^2=81+49
c^2=130
c=[tex]\sqrt{130}[/tex]
c=11.40
Therefore, the value of c is obtained as 11.40.
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Genesis has a points card for a movie theater.
• She receives 70 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 155 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Genesis can make to earn her first free movie ticket.
'v' visits.... would get her 12.5v points
She needs at least 155 points... Meaning the least she needs is 155. Also meaning she needs 155 or More...
We would represent that with a "Greater than or Equal to Sign ≥"
12.5v + 70 ≥ 155
12.5v≥155-70
v= 85/12.5
v=6.8.
Our answer can't be in decimal. She can't make 6.8 visits... Rather
The answer would be 7 Visits.
She needs a Minimum of 7visits.
The inequality that can be used to represent the number of visits is
12.5v + 70 ≥ 155.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Genesis has a points card for a movie theater.
Assuming no. of visits to the movie theater to be 'v'.
∴ An inequality that can be used to determine v, the number of visits
Genesis can make to earn her first free movie ticket as she needs 155 points and already has 70 points is,
12.5v + 70 ≥ 155 we have chosen greater than or equal to as she needs at least 155 points.
12.5v + 70 ≥ 155.
12.5v ≥ 85.
v ≥ 85/12.5.
v ≥ 6.8 but she needs to visit at least 7 times.
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Consider the triangle to the right. a. Write an equation that can be used to find the value of y b. What is mZK? a. Write the equation below. (Do not simplify. Do not combine like terms.) K L (5y - 19)˚. M COLELER
The value of y is 15 and angle is 68°
What is a triangle?A triangle is a polygon with three edges and three vertices.
Given that, a triangle KLM
We have, KL = MK
We know that, In a triangle, sides opposite to equal angles are equal, therefore,
∠ M ≅ ∠ L
5y-19 = 56
5y = 75
y = 15
We know, Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
∠ M + ∠ L + ∠ K = 180°
56° + 56° + ∠ K = 180°
∠ K = 180° - 112°
∠ K = 68°
Hence, the answers are; ∠ K = 68° and y = 15
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Solve the system of equation using the elimination multiplication method 3c+6d=18
6c-2d=22
show your work
So the solution to the system of equations is:
c = 4, d = 1
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.
Define quadratic equation.x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given equation I is [tex]3c+6d=18[/tex] and equation II is [tex]6c-2d=22[/tex]
We can start by multiplying the first equation by -2 and adding it to the second equation. This will eliminate the d variable:
[tex]-6c - 12d = -36[/tex]
[tex]6c - 2d = 22[/tex]
[tex]0c - 14d = -14[/tex]
solving this we know value of [tex]d=1[/tex]
So we know that d = 1, and we can substitute that into the first equation to find the value of c:
[tex]3c + 6d = 18[/tex]
[tex]3c + 6(1) = 18[/tex]
[tex]3c = 12[/tex]
[tex]c = 4[/tex]
So the solution to the system of equations is:
[tex]c = 4, d = 1[/tex]
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Which ordered pairs are solutions to the inequality?
y < -4x +11
O (-4.-11)
O (-1.5)
0 (0,0)
O (2,3)
Answer:
(-4,-11)
Step-by-step explanation:
-11<-4(-4)+11
-11<16+11
-11<27 which is true
I need to know how to solve e,d,f im so confused it’s about angles in a circle
When two inner angles are stated as 61° and 52° in the sixth figure, x and y are both set to 67°.
what is circle ?A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.
given
in 6th figure
61° + 52° + x = 180° ( sum of exterior angle )
113° + x = 180°
x = 67°
y = 67°
When two inner angles are stated as 61° and 52° in the sixth figure, x and y are both set to 67°.
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Jamie is jogging from park to the school he has jogged 1.62km so far . He has 0.38km left to jog how far is the park located away from the school
Answer:
2km
Step-by-step explanation:
Jamie is jogging from the park to the school
He has jogged 1.62 km so far
He has 0.38 km left
Hence he distance of the park from the school Is
1.62+0.38
= 2km
What is the solution of 3 root?
Answer: 1.442
Step-by-step explanation:
Help me, worth 30 points
Answer:
AC=10 BC=8
Step-by-step explanation:
Use Soh Cah Toa.
sin=opposite/hypotenuse
Cosine=adjacent/hypotenuse
Tangent=opposite/adjacent
PLZ HELP ASAP!! 16 points!! What are the domain and range of the function graphed below?
Answer:
B. Domain: {-∞ < x < ∞}; Range: {y ≤ 2}
Step-by-step explanation:
In simple terms, the domain of a graphed function refers to all the possible x-values while the range refers to all the possible y-values. Therefore, based on the graph the answer would be.
B. Domain: {-∞ < x < ∞}; Range: {y ≤ 2}
This is because x is in a slope and extends infinitely both to the left and to the right, therefore having all possible values. The y-axis starts at and includes the value 2 and all values less than 2. A black filled in dot in a graph indicates that the value is included.
SO MANY POINTS
Each of the problems below describes two different games you can play with a random number generator. In each case, you will win if the random number generator gives you the indicated kind of number. Find the theoretical probability that you win each game below. Decide and justify whether Game I or Game II in each part, (a) through (c), gives you a better chance of winning.
Picking a prime number from the integers between 1 and 20
Picking a multiple of from the integers between 1 and 20
Picking a multiple of from the integers between 1 and 40
Answer:
Game 1
Equal chance
Game 2
Step-by-step explanation:
A BETTER CHANCE OF WINNING
Each of the problems below describes two different games you can play with a random number generator. In each case, you will win if the random number generator gives you the indicated kind of number. Find the theoretical probability that you win each game below. Decide and justify whether Game I or Game II in each part, (a) through (c), gives you a better chance of winning.
Game I
a.Picking a prime number from the integers between 1 and 20
b.Picking a multiple of 5 from the integers between 1 and 20
c.Picking a multiple of 7 from the integers between 1 and 40
Hint:
Find the percent chance that each event will occur and compare the results.
a.Picking a prime number from the integers between 21 and 40
b.Picking a multiple of 5 from the integers between 1 and 40
c.Picking a multiple of 6 from the integers between 1 and 25
Answer:
Game 1
Equal chance
game 2
What is the theoretical probability that an even number will be rolled on a number cube?
Answer:
1/2
Step-by-step explanation:
becky is doing research in which she needs 28 g of a substance that is 30% protein how many grams of each two ingredients one that is 50% protein in the other 25% protein should she mix together
Therefore, Becky must combine 25.6 grams of the second ingredient (25 percentage protein) with 2.4 grams of the first ingredient (50 percent protein) to create 28 grams of
Define percentage.A percentage (%) is a number that can alternatively be written as a decimal or fraction and represents a quantity as a proportion of 100. You can change a percentage to a fraction by putting 100 in the numerator and also the percentage number in the numerator.
Here,
Becky will need to blend several substances to obtain the necessary level of protein in order to generate 28 grams of a material that is 30% protein.
Let's name the first ingredient's percentage of protein (50%) "x" and the second ingredient's percentage of protein (25%) "y".
That which we are aware of is
28 grams of the combination are present in total.
It has 30% protein.
50% of the first component is protein.
25% protein makes up the second component.
To express the issue, we can build up the following equations:
x + y = 28 (the total amount of the mixture is 28 grams) (the total amount of the mixture is 28 grams)
(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)
Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:
y = 28 - x
We can substitute this into the second equation:
(0.50)x + (0.25)y = 0.30(28) (28) (30% of the mixture is protein)
We may now solve for one variable in terms of the other using the first equation. If we figure out y, we obtain:
y = 28 - x
This can be used as a substitution in the second equation:
(0.50)x + (0.25)(28-x) = 0.30(28) (28)
which results in:
0.50x + 7 - 0.25x = 8.4
And simplifying even more
0.25x = 0.6
x = 2.4
We now know that 2.4 grams of the combination are made up of the first component, which is 50% protein. Using this knowledge, we can calculate the quantity of the second ingredient:
y=28 - x=28 - 2.4=25.6 grams
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Gregory(g) is 20 years older than his cousin Mark(m). Mark is 6 years younger than his
sister Louanne(L). Write an expression to represent the sum of their ages.
Answer:
Step-by-step explanation:
Let's make Mark x as he is in both equations.
For Gregory in Marks view = x+20
For Marks's sister Louanne = x-6
Now you just add everything!
> x+x+20+x-6
> 3x+14
The sum of their ages is 3x+14
Hope that helped!