a) The cube-shaped sculpture has edges that are 4 ft long, so the volume of the sculpture is 4^3 = 64 ft^3. The density of the marble is 170 lb/ft^3, so the weight of the sculpture is 64 ft^3 * 170 lb/ft^3 = 10,880 lb.
How is this calculated?Since the sculpture weighs more than 10,000 lb, the pedestal should not be able to support it. The sculpture would require a pedestal that can support more than 10,000 lb.
b) The density of the marble is determined by the mass of the marble per unit volume. If the sculpture was half the size, it would have half the volume, but the same mass. So, the density of the marble would not change.
To estimate the number of sticks of butter needed to fill an empty bathtub, we can use the Fermi process.
First, we need to find the volume of the bathtub. A rectangular prism has a length of 60 inches, a height of 40 inches and a width of 20 inches. So, the volume of the bathtub is 604020 = 48000 cubic inches.
Next, we need to find the volume of a stick of butter. A stick of butter has a length of 4 inches, a width of 2 inches, and a height of 2 inches, so the volume of a stick of butter is 422 = 16 cubic inches.
Finally, we can divide the volume of the bathtub by the volume of a stick of butter to find the number of sticks of butter needed to fill the bathtub:
48000/16 = 3000 sticks of butter.
We can estimate that it would take around 3000 sticks of butter to fill an empty bathtub with the given measurements.
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In the cafeteria's refrigerator, there are 11 bottles of orange juice and 22 bottles of apple juice. What is the ratio of bottles of orange juice to bottles of apple juice in the cafeteria's refrigerator?
The ratio of bottles of orange juice to bottles of apple juice in the cafeteria's refrigerator is 2 : 1.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, In the cafeteria's refrigerator, there are 11 bottles of orange juice and 22 bottles of apple juice.
Therefore, The ratio of bottles of orange juice to bottles of apple juice is,
orange juice : apple juice = 22 : 11.
orange juice : apple juice = 2 : 1.
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x race to power 4 minus 8x race to power 2 plus 1 equal to zero (Pls can anybody solve this)
Answer:
×⁴-8ײ+1
Explanation:
kaya yan ung sagot ksi hnd mo na sya mai-sosolve kasi mag kaiba ung upper right side nya kaya i coppy molng un^_^..hope its help...
Find the slope of the line graphed below.
Answer:
Step-by-step explanation:
Uh sorry but there is no picture here
Answer:
no graph is attached
Step-by-step explanation:
In an experiment with probability function f(x) is binomially distributed with probability p that an attribute occurs at a single trial. If in four trials of the experiment, the attribute occurs four times with probability 16/81, find the value of p
Answer:
Step-by-step explanation:
A binomial probability function has two parameters: n, the number of trials and p, the probability of success (or occurrence of the attribute) in a single trial.
In this case, we are given that the attribute occurs four times in four trials, with probability 16/81. Using this information, we can use the binomial probability formula to find the value of p:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
Where k is the number of successes in n trials, and (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n items without replacement.
In this case,
k = 4 (the attribute occurs four times)
n = 4 (there are four trials)
P(k) = 16/81
We can use this equation to find the value of p:
(4 choose 4) * p^4 * (1-p)^(4-4) = 16/81
1 * p^4 * (1-p)^0 = 16/81
p^4 = 16/81
p = √(16/81)
p = √(4/81)
p = √(1/81)
p = 1/9
The value of p is 1/9
This means that in a single trial of the experiment, the probability of the attribute occurring is 1/9 or about 0.111
Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party to choose which type of movie they would like best she decides to survey every other child entering a matinee for a cartoon called three pretty princess the total number of children survey was 40 what is wrong with the way she selected her sample check all that apply
The mistake Sofia did will doing survey is mentioned in option A, B, and D.
Survey:
In human research, a survey is a list of questions designed to extract specific data from a specific group of people. Surveys can be conducted by phone, email, internet, street corner or shopping mall. Surveys are used to gather or generate insights in areas such as social surveys and demographics.
Research studies are commonly used to assess thoughts, opinions, and feelings. Research can be specific and narrow, or it can set more global and broad goals. Psychologists and sociologists often use surveys to analyze behavior, but they also serve the more practical needs of the media, such as evaluating political candidates, public health officials, professional organizations, and advertising and marketers. It is also used to meet Research studies are also used in various medical and surgical fields to gather information about the practice patterns of health care workers and their attitudes towards various clinical problems and diseases. Health professionals who may participate in research studies include, but are not limited to, physician nurses and physical therapists. A questionnaire consists of a series of pre-determined questions for a sample. A representative sample, that is, a sample representative of the larger population of interest, can be used to describe the attitudes of the population from which the sample was drawn. Additionally, you can compare the attitudes of different population groups and look for changes in attitudes over time. Proper sample selection is very important as it allows the sample results to be generalized to the population. This is the overall purpose of the research study. Additionally, it is important to ensure that the survey questions are not biased. B. Use of Obscene Language. This prevents survey results from being inaccurate.
According to the Question:
The survey included 40 children.
The movie Sofia chose was " Three Little Princesses"
The mistake in the way she selected her sample was:
Option A: The sample of 40 children is too small to represent all kindergartners.
Option B: The sample was taken at a specific movie, which will skew data towards that type of movie.
Option D: The sample should include the adults with the children instead of only children.
Therefore, the mistake Sofia did will doing survey is mentioned in option A, B, and D.
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Birr 6,500 were divided equally among a certain number of persons. Had there
been 15 more persons, each would have got Birr 30 less. Find the original number
of persons
So, on solving the question we can say that the equation formed is - 6500 = 15x - 30y x = 433.3333333333
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
the equation formed is -
6500 = 15x - 30y
y = 0
x = 6500/15
x = 433.3333333333
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Explain how the sequence 10.6, 11.8, and 13 is a function even though there are multiple rules that can represent it.A)The sequence is a function because the domain is unrestricted.B)The sequence is a function because more than one rule can represent it.C)The sequence is a function because each rule produces one output for each input.D)The sequence is a function because each rule produces multiple outputs for each input.
The sequence is a function because each rule produces one output for each input, hence option C is the correct answer.
What is a sequence?A sequence is a grouping of any items or a collection of numbers in a specific order that adheres to some norm.
Given sequence, 10..6, 11.8, 13 has a common difference between all the consecutive terms, that is, 12.
Hence, the sequence represents a linear function.
Since, the sequence is a linear function, every input will produce an output according to the rule.
Hence, the sequence is a function because each rule produces one output for each input, hence option C is the correct answer.
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does this approximate a normal distribution? does this confirm the first part of the central limit theorem?
No, this does not approximate a normal distribution.
This does not confirm the first part of the Central Limit Theorem, which states that the sum of a large number of independent random variables will approximate a normal distribution. To calculate the probability of a normal distribution, we need to calculate the mean and standard deviation of the sample. We can then use this information to calculate the z-score of a given value in the sample. The z-score will tell us how many standard deviations away from the mean a certain value is. If the z-score follows a normal distribution then the sample approximates a normal distribution. However, if the z-score does not follow a normal distribution then the sample does not approximate a normal distribution.
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work out the circumference of a circle with a diameter 1.8cm . take pi to be 3.142 and give your answer to 1 decimal place ?
what ratio is equivalent to 2
Two numbers' multiples are shown by a ratio. The required equivalent ratio will therefore be 2a:a
What are ratio of expressions?A ratio displays the multiples of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
a/b can be termed as a ratio b. In order to determine a ratio that is equivalent to 2, the value at the numerator must be twice that of the denominator.
Let the value at the denominator be "a", hence the numerator will be '2a'. The required equivalent ratio will therefore be 2a:a
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How do you write a ratio table in 7th grade?
A ratio table is a way to compare two or more related quantities. To write a ratio table in 7th grade, you need to:
1. Identify the two or more related quantities you are comparing.
2. Create a table with two columns. Label the first column with the first quantity and the second column with the second quantity.
3. Put the combined ratio in the first row of the table.
4. Put the ratio for the first quantity in the second row of the table.
5. Put the ratio for the second quantity in the third row of the table.
6. In the fourth row, put the combined ratio of the ratios from the previous rows.
7. Repeat steps 4-6 until you have the desired number of rows.
8. Check to make sure that all of the ratios in the table are equivalent.
Once you have completed these steps, you should have a completed ratio table
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Which point on the number line shows the position of square root 38
The point on the number line is between 6 and 7
How to determine the location of the pointFrom the question, we have the following parameters that can be used in our computation:
Number = square root 38
The square root of 38 is approximately 6.16441400296898.
This number is between 6 and 7 on the number line, closer to 6.
Also, it should be noted that
It's not a rational number so it's not on the number line with integers, but it can be represented as a decimal or as an irrational number.
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wei buys a lottery ticket. the ticket has several ways to win. the table below shows the different ways to win, the probability of winning each way, and how much money each win results in. every time wei buys a ticket, she can win money each way. ways to win probability winnings way 1 68% $0 way 2 24% $0 way 3 6% $5 way 4 2% $25 given the probabilities and payout values in this table, what is the expected value of wei's ticket?
0.80 is the expected value of wei's ticket. This can be solved by using the concept of probability.
What is probability?The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
As, we know
E(x) = x₁. p(x₁) + x₂ . p(x₂) + ....... + x(n). p(x(n))
From the table it is shown that,
E(x) = (68% × 0) + (24% × 0) + (6% × 5) + (2% × 25)
or, E(x) = 0.80
then the expected value of Wei's ticket is: 0.80
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Find the z-score for the value 93, when the mean is 100 and the standard deviation is 3.
The required z-score of the value 93 when the mean is 100 and the standard deviation is 3 is z = -2.3.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
here,
z = x - μ / σ
Where,
μ = mean and σ = standard deviation
From the question substitute the value in the given above formula,
z = 93 - 100 / 3
z = -2.3
Thus, the required z-score of the value 93, when the mean is 100 and the standard deviation is 3 is z = -2.3.
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find the difference (12m + 5) - (3m - 2) i nee help asap
Answer:
(12m + 5 ) - (3m - 2)
12m + 5 - 3m + 2
12m - 3m + 5 +2
9m + 7
Answer:
[tex] \sf \: 9m + 7 [/tex]
Step-by-step explanation:
Given expression,
→ (12m + 5) - (3m - 2)
Let's simplify the expression,
→ (12m + 5) - (3m - 2)
→ 12m + 5 - 3m + 2
→ (12m - 3m) + (5 + 2)
→ (9m) + (7)
→ 9m + 7
Hence, the answer is 9m + 7.
if f(x)=3x+5 and g(x)=x-2 , what is ( f • g)(x)
Answer:
1/3
Step-by-step explanation:
f(gx)-2
formula use the solve this problem
Each number in the first table represents the points scored by a player on the AOP Academy basketball team. Make a frequency distribution, including relative frequency.
percent of total = frequency/total x 100%
1 5 8 10 11 12
1 6 9 10 12 13
3 7 9 11 12 13
4 8 10 11 12 14
For the relative frequencies below, round to the nearest hundredth. If applicable, include a leading zero.
Score Frequency Relative Frequency
Answer:
1 2 8.33%
3 1 4.17%
4 1 4.17%
5 1 4.17%
6 1 4.17%
7 1 4.17%
8 2 8.33%
9 2 8.33%
10 3 12.5%
11 3 12.5%
12 4 16.67%
13 2 8.33%
14 1 4.17%
total =24
what is the probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour?
The probability that the request is received by the server within the first 5 minutes (300 seconds) after the hour would depend on the rate at which requests are made to the server, as well as any other factors that may affect the timing of requests.
In order to find this probability, you would need additional information such as the average rate of requests per second or minute, and the distribution of request timing.
If the requests are Poisson distributed with a mean rate of λ requests per second, the probability that a request is received within the first 5 minutes (300 seconds) after the hour is
P(X<=300) = 1- e^(-300λ)
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Will the triangle formed with side 6 cm 8 cm and 10 cm be a right angle triangle?
Answer:
Step-by-step explanation:
Yes, by side 6cm, 8cm, 10cm be a right angle triangle.
explain, by pythagoras theorem,
(hypotenuse)^2 = (perpendicular)^2 + (base)^2
=> (10)^2 = (6)^2 + (8)^2
=> 100 = 36 + 64
=> 100 = 100
so, it is verifying the phythagoras theorem, hence it will form a right angle triangle with side 6cm, 8cm, and 10cm.
A system of equations is shown below. y = 3x + 4 y = 7x – 2 What is the solution to the system?
The solution to the system of equations is x = 3/2 and y = 11/2.
What is the linear equation?
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b
We are given two equations:
y = 3x + 4
y = 7x – 2
We can set the two equations equal to each other and solve for x:
3x + 4 = 7x - 2
Subtracting 3x from both sides:
4 = 4x - 2
Adding 2 to both sides:
6 = 4x
Dividing both sides by 4:
x = 3/2
Now we can substitute this value of x back into either of the original equations to find the corresponding value of y. Using the first equation:
y = 3(3/2) + 4 = 9/2 + 4 = 11/2
Therefore, the solution to the system of equations is x = 3/2 and y = 11/2.
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Which graph represents a linear function?
The correct answer would be an option (B) which graph represents a linear function.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.
It represents the line's slope-intercept form, which is written as y = mx+ c.
As per graph (B),
This is a linear function that represents a line, i.e., its graph is a line. Here,
'm' is the slope of the line
'c' is the y-intercept of the line
'x' is the independent variable
'y' (or f(x)) is the dependent variable
Hence, the correct answer would be an option (B).
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1.A prime number is a number which has exactly two factors - 1 and itself. Suhani says, “The only even prime number is 2". Is she right?
Answer:
yes, because there aren't other even prime numbers.
Step-by-step explanation:
2 Is the only even prime number
3 is odd
5 is odd
7 is odd
11 is odd
13 is odd
And so on
antti entered a 10 kilometer race. his goal is to finish in one hour. he starts off sprinting, and completes the first 2 kilometers of the race at an average speed of 12 kilometers per hour. to achieve his goal of a one-hour finish time, what average speed must antti maintain for the last 8 kilometers of the race?
So, Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.
To finish the 10 kilometer race in one hour, Antti must maintain an average speed of 10 kilometers per hour for the entire race. Since he has already completed 2 kilometers at an average speed of 12 kilometers per hour, he must make up for that extra speed by running the last 8 kilometers at a slower pace.
To find out what average speed he must maintain for the last 8 kilometers to finish in one hour, we can use the formula:
(distance) / (time) = (speed)
So, 8 / 1 = 8 kilometers per hour
Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.
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[tex]y= 3x + 13\\y=7x + 17[/tex]
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)
Step-by-step explanation:
Let's solve your system by substitution.y=3x+13; y=7x+17
Step: Solve y = 3x + 13 for y:
y=3x+13
Step: Substitute 3x + 13 for y in y = 7x + 17 :
y=7x+17
3x+13= 7x+17
3x+13+-7x=7x+17+-7x (Add -7x to both sides)
-4x+13=17
-4x+13+-13=17+-13 (Add -13 to both sides)
-4x=4
-4x/-4 = 4/-4 (Divide both sides by -4)
x=-1
Step: Substitute -1 for x in y=3x+13:
y=3x+13
y=(3)(-1)+13
y=10(simplify both sides of the equation)
Answer:
x= -1 and y= 10
(Hope this helped!)
Diana had a coupon for c dollars off of
each box of crackers. Diana bought 2
boxes of crackers for 4.50 – c dollars
each. She also bought 8 cans of soup
for s dollars each. The total amount, in
dollars, she spent on the cans of soup
and boxes of crackers is represented by
the expression below.
2(4.50 – c)+8s
Which expression also represents the
total amount, in dollars, she spent?
A.6.50 – 2c + 8s B. 6.50 – 2c + 10s
C. 9 – c + 8s D. 9–2c + 8s
Answer:
d. 9 - 2c + 8s
Step-by-step explanation:
we can distribute the two by multiplying it by both 4.50 and -c. our result will be 9 and -2c. simply combine that with the 8s that we already had, and we end up with 9 - 2c + 8s.
I need help with these 4 questions
Answer:
1st one: y=x+2
2nd one: y=x/4
3rd one: y=3x
4th one: y=x-5
The area of a rectangle is represented by 32X exponent three it’s a length of a rectangle is 4X then the width is 
Answer:We know that the area of a rectangle is represented by the product of its length and width, so the equation for the area of the rectangle is:
A = l * w
We also know that the area of the rectangle is given as 32X^3 and the length of the rectangle is 4X. Therefore, we can substitute these values into the equation:
32X^3 = (4X) * w
To find the width of the rectangle, we can divide both sides of the equation by 4X:
w = 32X^3 / 4X
Simplifying the equation, we can get the value of w:
w = 8X^2
So the width of the rectangle is 8X^2
Step-by-step explanation:
A plane flying at 2000 ft altitude begins a 25 degree angle of depression to land. What
is the distance the plane will travel before it lands?
The distance the plane will travel before it lands cannot be determined from the information given. You would need to know the speed of the plane and the time it takes to travel in order to calculate the distance.
The spinner above is used in a game. What is the theoretical probability of the given event with one spin? P(a composite number) a. c. b. d.
The spinner above is used in a game. the theoretical probability of the given event with one spin is 1/2.
Given that a circular spinner with equal sectors for the numbers 1 through 8 is present.
Therefore, the likelihood of receiving any number from 1 to 8 is equal.
=1/8
Probability that the number is between 2 and 7 is known as the required probability.
The numbers 3,4,5, and 6 fall between 2 and 7.
So, favorable events equal 4,
Events totaling 8 P(a number between 2 and 7)=4/8 =1/2
The result is 1/2.
Theoretically, there is a 0.50 percent chance that the event, which is the number landing in a range between 2 and 7, will occur after one spin.
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8th grade Mathematics
What is the solution to the system of equations below?
Y=2/5x-3 and x = -10
A. (-10, -7)
B. (-10, -1)
C. (-7, -10)
D. (-1, -10)
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Answer:
A) ( -10, -7)
Step-by-step explanation:
x = -10 is a vertical line going through x = -10
No matter what y is, x will be -10
Plug -10 into the first equation to find the y value
y = 2/5(-10) - 3
y = -4 - 3
y = -7
