Solving a linear equation, we can see that each box has 15 jars.
Which equation can be used to find the number of jars in each box?
We know that Neve has 12 full boxes of jars of slime, and 7 jars of slime, then if each box has N jars, the total number of jars that Neve has is given by the linear equation:
12*N + 7
Now we know that Neve has 187 jars in total, then we can write:
12*N + 7 = 187
We want to find the value of N, which is the number of jars in each box, so we need to solve the linear equation:
12*N + 7 = 187
12*N = 187 - 7
12*N = 180
N = 180/12 = 15
We conclude that there are 15 jars in each full box.
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find the area of this circle
Answer:
A= πr²
where pi = 3
and r = 3
A = 3 x 3²
3 x 9
area = 27 ft²
the following dotplot shows the centuries during which the 111111 castles whose ruins remain in somerset, england were constructed. each dot represents a different castle. 101012121414161618182020century of construction here is the five-number summary for these data: five-number summary min \text{q} 1q 1 start text, q, end text, start subscript, 1, end subscript median \text{q} 3q 3 start text, q, end text, start subscript, 3, end subscript max 121212 131313 141414 171717 191919 according to the 1.5\cdot \text{iqr}1.5⋅iqr1, point, 5, dot, start text, i, q, r, end text rule for outliers, how many high outliers are there in the data set?
There are no high outliers in this dataset. According to the given statement The number of high outliers in the data set is 0.
To determine the number of high outliers in the data set, we need to apply the 1.5 * IQR rule. The IQR (interquartile range) is the difference between the first quartile (Q1) and the third quartile (Q3).
From the given five-number summary:
- Min = 10
- Q1 = 12
- Median = 14
- Q3 = 17
- Max = 19
The IQR is calculated as Q3 - Q1:
IQR = 17 - 12 = 5
According to the 1.5 * IQR rule, any data point that is more than 1.5 times the IQR above Q3 can be considered a high outlier.
1.5 * IQR = 1.5 * 5 = 7.5
So, any value greater than Q3 + 7.5 would be considered a high outlier. Since the maximum value is 19, which is not greater than Q3 + 7.5, there are no high outliers in the data set.
Therefore, the number of high outliers in the data set is 0.
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The dotplot provided shows the construction centuries of 111111 castles in Somerset, England. Each dot represents a different castle. To find the number of high outliers using the 1.5 * IQR (Interquartile Range) rule, we need to calculate the IQR first.
The IQR is the range between the first quartile (Q1) and the third quartile (Q3). From the given five-number summary, we can determine Q1 and Q3:
- Q1 = 121212
- Q3 = 171717
To calculate the IQR, we subtract Q1 from Q3:
IQR = Q3 - Q1 = 171717 - 121212 = 5050
Next, we multiply the IQR by 1.5:
1.5 * IQR = 1.5 * 5050 = 7575
To identify high outliers, we add 1.5 * IQR to Q3:
Q3 + 1.5 * IQR = 171717 + 7575 = 179292
Any data point greater than 179292 can be considered a high outlier. Since the maximum value in the data set is 191919, which is less than 179292, there are no high outliers in the data set.
In conclusion, according to the 1.5 * IQR rule for outliers, there are no high outliers in the given data set of castle construction centuries.
Note: This explanation assumes that the data set does not contain any other values beyond the given five-number summary. Additionally, this explanation is based on the assumption that the dotplot accurately represents the construction centuries of the castles.
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Area and Length of Sectors of Circles
I want
serve
cookie саке
at my
party.
Each cookie cake is 8 inches long. Fill in the chart below with the missing information
then calculate how many cookie cakes I should buy.
The missing information are,
Person Percentage Fractional Central angle Amount Amount of
amount of cookies frosting
Cousin 50% 1/2 180° 25.15 in² 12.55 in²
Jacob
Sister1 25% 1/4 90° 12.58 in² 6.275 in²
Uncle 75% 3/4 270° 37.73 in² 18.83 in²
Aunt 10% 1/10 36° 5.03 in² 2.51 in²
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
I want serve cookie саке at my party.
And, Each cookie cake is 8 inches long.
Hence, The missing information are,
Person Percentage Fractional Central angle Amount Amount of
amount of cookies frosting
Cousin 50% 1/2 180° 25.15 in² 12.55 in²
Jacob
Sister1 25% 1/4 90° 12.58 in² 6.275 in²
Uncle 75% 3/4 270° 37.73 in² 18.83 in²
Aunt 10% 1/10 36° 5.03 in² 2.51 in²
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The information below relates to Kenya and Uganda and production of products A and B. Labour expenditure – Hrs. 1 Kg of product A 1 Kg of product B Kenya 90 100 Uganda 130 110 Required; By the use of comparative cost advantage, show mathematically which product each of the country should produce. (6 Marks
Kenya should specialize in producing product A (with an opportunity cost of 90 labor hours/kg), while Uganda should specialize in producing product B (with an opportunity cost of 110 labor hours/kg).
To determine which product each country should produce based on comparative cost advantage, we need to calculate the opportunity cost of producing each product in each country. The country with the lower opportunity cost for a particular product should specialize in producing that product.
Opportunity cost is the value of the next best alternative foregone. In this case, it represents the number of labor hours that could have been used to produce the other product.
Let's calculate the opportunity cost for each product in each country:
Kenya:
Opportunity cost of producing 1 kg of product A = Labor expenditure / (Labor hours for product A)
Opportunity cost of producing 1 kg of product B = Labor expenditure / (Labor hours for product B)
Opportunity cost of producing 1 kg of product A in Kenya = 90 / 1 = 90 labor hours/kg
Opportunity cost of producing 1 kg of product B in Kenya = 90 / 1 = 100 labor hours/kg
Uganda:
Opportunity cost of producing 1 kg of product A in Uganda = 130 / 1 = 130 labor hours/kg
Opportunity cost of producing 1 kg of product B in Uganda = 130 / 1 = 110 labor hours/kg
Comparing the opportunity costs:
Kenya:
Opportunity cost of product A: 90 labor hours/kg
Opportunity cost of product B: 100 labor hours/kg
Uganda:
Opportunity cost of product A: 130 labor hours/kg
Opportunity cost of product B: 110 labor hours/kg
Based on comparative cost advantage, each country should specialize in producing the product with the lower opportunity cost.
This specialization allows each country to allocate its resources efficiently and take advantage of their comparative cost advantages.
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A recent national survey found that high school students watched an average (mean) of 7.2 movies per month with a population standard deviation of 0.7. The distribution of number of movies watched per month follows the normal distribution. A random sample of 47 college students revealed that the mean number of movies watched last month was 6.2. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students
The population mean (μ) of high school students watching 7.2 movies per month, with a population standard deviation (σ) of 0.7. The sample size (n) of college students is 47, with a sample mean (x) of 6.2 movies per month.
We want to test if college students watch fewer movies per month than high school students at a 0.05 significance level.
To conduct this hypothesis test, we will use the one-sample z-test. The null hypothesis (H ₀) states that the mean number of movies watched by college students is equal to the population mean of high school students (μ = 7.2). The alternative hypothesis (H₁) states that the mean number of movies watched by college students is less than the population mean of high school students (μ < 7.2).
First, we need to calculate the standard error (SE) using the formula SE = σ/√n, where σ = 0.7 and n = 47. Next, we compute the z-score using the formula z = (x - μ)/SE. Once we have the z-score, we compare it to the critical value corresponding to the 0.05 significance level. If the z-score is less than the critical value, we reject the null hypothesis in favor of the alternative hypothesis.
By performing these calculations, we can determine whether there is enough evidence to conclude that college students watch fewer movies per month than high school students at the 0.05 significance level.
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A solid of constant density is bounded below by the plane z=0 , above by the cone z=2r ,r≥=0 , and on the sides by the cylinder r=1 . Find the center of mass.
The centre of mass is (x,y,z) = (__,___,___)
To find the center of mass of the given solid, we need to calculate the coordinates (x, y, z) where the mass is evenly distributed.
The solid is bounded below by the plane z = 0, above by the cone z = 2r (where r ≥ 0), and on the sides by the cylinder r = 1.
Since the solid has constant density, the center of mass can be determined by finding the centroid of the solid. The centroid is the average position of all the points in the solid.
In this case, the centroid lies in the xy-plane (z = 0) because the cone and cylinder intersect at z = 0.
The centroid coordinates (x, y, z) can be calculated using the formula:
x = (1/M) ∫∫∫ xρ dV
y = (1/M) ∫∫∫ yρ dV
z = (1/M) ∫∫∫ zρ dV
where ρ is the constant density and M is the total mass of the solid.
To evaluate these integrals, we need to determine the limits of integration for the volume integral. From the given conditions, we can observe that the solid is bounded in the region 0 ≤ r ≤ 1, 0 ≤ θ ≤ 2π, and 0 ≤ z ≤ 2r.
By performing the necessary calculations, we can find the values of (x, y, z) that represent the center of mass.
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Please help! First to answer with full explanation gets Brainliest!
Answer:
option 1 is true. y^5/8
a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints. True/False?
The statement "a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints." is True because a line segment is defined as a part of a line that is bounded by two distinct end points and contains all the points on the line between those endpoints.
A line segment is a part of a line that has two endpoints and connects them. It is the shortest distance between two points and has a definite length, but no width or height. A line segment can be part of a straight line or a curved line.
A line segment is a section of a line that is defined by two distinct end points and includes every point on the line between them. It is the basic building block of geometry and can be used to measure distances, angles, and shapes.
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plz help with everything in the pic
HERE I TOOK PICTURES
i only understand number 11
Prove the algebraic identity with the left hand side and supplying a sequence of equivalent expressions that ends with the right hand side. X^3-x^2/x -(x-1)(x+1)=1-x
Answer:
See Prove
Step-by-step explanation:
Given the expression: \(\dfrac{x^3-x^2}{x} -(x-1)(x+1)\)
To Prove: \(\dfrac{x^3-x^2}{x} -(x-1)(x+1)=1-x\)
Taking the Left-Hand side
\(\dfrac{x^3-x^2}{x} -(x-1)(x+1)\\=\dfrac{x(x^2-x)}{x} -[x(x+1)-1(x+1)]\\=x^2-x-[x^2+x-x-1]\\=x^2-x-x^2+1\\=-x+1\\=1-x\)
This is the right-hand side as required.
We have proved the given algebraic identity.
dy/dt =y+2u, y(0)=5, u= step change of unity
The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2
The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.
To solve this differential equation, we can use the method of integrating factors.
First, let's rearrange the equation in the standard form:
\(\[\frac{{dy}}{{dt}} - y = 2u\]\)
Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.
In this case, the coefficient of y is -1:
Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)
Multiplying both sides of the equation by the integrating factor gives:
\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)
The left side of the equation can be rewritten using the product rule of differentiation:
\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)
Integrating both sides with respect to t gives:
\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)
Since u is a step change of unity, we can split the integral into two parts based on the step change:
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)
Simplifying the integrals gives:
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)
Evaluating the integral on the right side gives:
\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)
\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)
Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:
\(\[e^{-t}y = 2(-e^{-t})\]\)
Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2
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I need help on this
A quarter circles fits exactly into a square of side 4 cm, as shown.
Determine the area of the shaded region, giving your answer correct to 3 significant figures.
Side of square = Radius of circle = 4cm
Area of full circle
= πr²
= (22/7) × 4cm × 4cm
= 352/7 cm²
Area of the quarter of circle
= Area of full circle/4
= (352/7)/4
= (352/7) × (1/4)
= 352/28
= 12.571 {approximately}
does anybody know the answer?
Answer:
while answering this my brain stop working so i had to think fast so i remove my brain put some soil inside to light it up problem not solve im an alpha kid
A model boat i 15 inche long if the boat i bulit to a cale of 1 : 250 inche how long i the real boat
define a variable
write a porortion
olve the porportion
anwer with word
If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.
What does a scale look like in math?The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.
Briefing:The scale of drawing the horse = 1 inch :
Therefore in scale
Horse height in drawing equals one inch
The height of the horse = 250 inche
The original height of the horse = 15 inche
The height in the picture = x inches
To find the height the horse in the picture, we have to use proportion
1 inch : 250 inche = x inches : 15 inche
1 / 250 = x / 15
1 × 15= 250x
250x = 15
x = 15/250
x = 0.06 inches
Therefore, the height of the horse in drawing is 0.06 inches
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hey can anyone help me?
factorize (x+2)^3-27
Answer:
\((x-1)(x^{2} +7x+19)\)
Step-by-step explanation:
See attached work. Appologies for earlier confusion. Please mark Brainliest.
Apply linear programming to this problem. A one-airplane airline wants to determine the best mix of passengers to serve each day. The airplane seats 25 people and flies 8 one-way segments per day. There are two types of passengers: first class (F) and coach (C). The cost to serve each first class passenger is $15 per segment and the cost to serve each coach passenger is $10 per segment. The marketing objectives of the airplane owner are to carry at least 13 first class passenger-segments and 67 coach passenger-segments each day. In addition, in order to break even, they must at least carry a minimum of 110 total passenger segments each day. Which of the following is one of the constraints for this linear program? a. 15 F + 10 C => 110 b.1 F+1C=> 80 c. 13 F +67 C=> 110 d. 1 F => 13
The option (a) 15 F + 10 C => 110 is the correct answer. A linear programming is a mathematical method used to optimize an objective function with constraints expressed as linear equations or inequalities.
Linear programming has several uses, including determining the best mix of passengers for a one-airplane airline per day.
In this scenario, there are two types of passengers, first-class and coach passengers, and the goal is to optimize the mix of passengers to ensure that the company's marketing objectives are met while also breaking even.The constraints of the linear programming problem for a one-airplane airline seeking to determine the best mix of passengers to serve each day are:
13 F + 67 C => 110
To break even, they must at least carry a minimum of 110 total passenger-segments each day.
This equation is a constraint because it represents a minimum requirement for the company. If the minimum isn't met, the company won't break even, and so this equation must be satisfied.
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a) what is the cumulative frequency for a weight of 27.5 pounds?
Cumulative frequency for a weight of 27.5 pounds is 42.
1. First, arrange the data in ascending order.
2. Identify the weights given and their corresponding frequencies.
3. Calculate the cumulative frequency by adding up the frequencies for weights less than or equal to 27.5 pounds.
4. In this case, the cumulative frequency for 27.5 pounds would be the sum of the frequencies for all weights less than or equal to 27.5 pounds.
5. If the given data is in a frequency table, simply find the cumulative frequency value corresponding to the weight of 27.5 pounds.
6. If the data is not given in a frequency table, you can create one by counting the occurrences of each weight and then calculating the cumulative frequencies.
7. Once you have the cumulative frequencies for all weights, find the value corresponding to 27.5 pounds.
8. The obtained value is the cumulative frequency for a weight of 27.5 pounds.
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2) Find the number that makes the ratio equivalent to 1:4.3:
2 points
4
3
оооо
12
16
9514 1404 393
Answer:
12
Step-by-step explanation:
Maybe you want the equivalence ...
1 : 4 = 3 : 12
(Multiply both reduced ratio numbers by 3.)
f(x)=4x+1 and g(x)=x^2-5 find f+g (x)
Answer & Step-by-step explanation:
When we see (f + g)(x), it means that we are adding together f(x) and g(x).
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) = (4x + 1) + (x² - 5)
Combine like terms and make sure x² is in the front of the expression so you are following the rules of exponents when in standard form.
(f + g)(x) = x² + 4x - 4
So, (f + g)(x) equals x² + 4x - 4
An angle whose measure equals 180 degrees.
Answer:
Its a straight line
Step-by-step explanation:
<-------------------------->
Answer:
uhh not sure dude
Step-by-step explanation:
Point P is the centroid of △ABC and BD⊥AC. Find the following:
1. Find PD.
2. Find AP.
3. Find FC.
4. Find AC.
5. Find the perimeter of △BDC
Therefore , the solution of the given triangle comes out to be AC = 10 units and PD = 6 units.
Triangle definitionTriangles, which have three sides and three angles, can be made by joining any three points in a plane. They are among the earliest geometric shapes to be studied. Triangles are especially important since they may be divided into each polygon, whether it has four, five, six, or n sides.
Here,
Let AD and DC are 2x and x respectively.
We have, BC = 10 units
=> 2x =10
=> x = 10/2
=> x= 5
Now ,
=> AP + PF = 8 + y
=> 8 + y = 12
=> y =4
Therefore , the solution of the given triangle comes out to be AC = 10 units and PD = 6 units.
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What is the equation of the linear function?
Answer:
D. y= -1/2x + 3
Step-by-step explanation:
It is a negative slope so we can immediately eliminate option C. Slope is rise over run and on the graph it looks like - 1/2 is your slope. As for the other part, we look at where it aligns on the y axis, which looks like 3. hope this helps!
HELPP I GIVE BRAINLIEST <3
Answer: 3/50
Step-by-step explanation:
A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount. To the nearest dollar, what is expected payout of the game?
The expected payout of the game to the nearest dollar is $165.
Define the term probability?Probability is a branch of mathematics that studies random events and their probability.
It involves quantifying uncertainty and using mathematical models to predict outcomes based on data and assumptions.
The concept of probability is essential in decision-making, risk management, and scientific inquiry.
To find the expected payout, we need to multiply each payout amount by its corresponding probability, and then add up all the products:
Expected Payout = (180 x 0.151) + (1000 x 0.029) + (155000 x 0.0007)
Expected Payout = 27.18 + 29 + 108.5
Expected Payout = 164.68
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The complete question is given below.
Which is the best estimate of 22 x 97 by using rounding or compatible numbers? F. 1.800 G. 2,000 H. 2.300 1. 2.400
Answer:
G
Step-by-step explanation:
2,134 is the answer to 22 times 97.
So, the estimate would have to be; G. 2,000
( 2,134 rounds to 2,000.)
What’s the reason for number 4?
A.) ASA
B.) AAS
C.) SAS
D.) not enough information to prove congruent triangle
E.) HL
F.) SSS
Please help brainlist in return thank u
Answer:
C) SAS
Lines BC and CD are congruent, Angles 1 and 2 are congruent, and the triangles share a side. Thus, the triangles are congruent because of Side-Angle-Side.
He following cards are dealt to three people at random, so that everyone gets the same number of cards. what is the probability that everyone gets a red card?
The probability that everyone will get a red card is 0.5.
What probability exactly is?Probability is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting certainty.The probability is the likelihood that something will happen, to put it simply.The likelihood or likelihood of various outcomes can be discussed when we don't know how an event will turn out.The study of events that fit into a probability distribution is known as statistics.So, the probability that everyone gets a red card:
Probability formula: P(E) = Favourable events/Total number of eventsAs cards are distributed to 3 people, divide both favorable events and total events by 3.Then,
P(E) = Favourable events/Total number of eventsP(E) = (26/3)/(52/3)P(E) = 26/3 × 3/52P(E) = 26/52P(E) = 0.5Therefore, the probability that everyone will get a red card is 0.5.
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Why does the pascal's triangle work?
EXPLANATION
We should think about it in terms of shortest paths on a lattice, such as the one on the left with example coordinates. The number of shortest paths to each lattice coordinate is seen in the grid on the right, but we'll get to that later.
Each rossing point of the grid lines has integer coordinates (x,y), where x represents the horizontal coordinate and y represents the vertical coordinate. Imagine traversing a path from the origin O(0,0) to any coordinate (x,y) that runs through the grid lines, following the shortest path to (x,y). These are the "shortest paths."
There may be several such paths leading to the same general point (x,y), but they all have x horizontal and y vertical measures. The target is to count the total number of shortest paths linking each (x,y) point on the lattice. The first method is to simply count the shortest paths between each lattice point. However, we don't go about it in a random manner; instead, we take the simple route and begin at the origin, working our way through and up the grid:
-There is 1 shortest path from (0,0) to (0,0) this is the path where we don't move.
-There is 1 shortest path from (0,0) to (1,0) and 1 shortest path to (0,1) in fact we can see that there will be only 1 path to each point on the x-axis and each point on the y-axis. So we will fill in those numbers on each lattice point along axes (like the right hand grid above).
A boy's weight increased by 15% between his fifteenth and sixteenth birthdays. If he weighed 55kg on his fifteenth birthday, what did he weigh on his sixteenth birthday?
Answer:
63.25 KG
Step-by-step explanation:
Convert 15% to a decimal, then add 1 and multiply 15.
\(55 \times (1 + 0.15) = 63.25\)