Answer: x=18
Step-by-step explanation:
It just does ok
What is the total volume of both boxes if s equals 8 inches
The total volume of both cubed boxes, combined, is of:
612 cubic inches.
What is the volume of a cube?The volume of a cube of side length s is given by the side length s cubed, as shown by the formula presented as follows:
V = s³.
In this problem, the boxes are given as follows:
Cubed box with side length of s = 8 inches.Cubed box with a volume of 100 cubic inches.The volume of the box with side length 8 inches is given as follows:
V = 8³ = 512 cubic inches.
(measure is in inches, hence the cubed measure is in cubic inches).
The total volume is given by the sum of the volumes of the two boxes, hence:
Total volume = 512 cubic inches + 100 cubic inches = 612 cubic inches.
Missing InformationThe image showing the cubes is given at the end of the answer.
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Characterize the slope of the line in the graph.
• A. Zero
• B. Negative
• C. Undefined
• D. Positive
Answer: C Undefined
Step-by-step explanation:
A vertical line never moves left and right, so the run is 0. Because the quotient of a number divided by 0 is undefined, the slope of a vertical line is always undefined.
The slope is positive
D.Positive
In November's Math Meet, the Little Monsters of Beast Academy solved $\frac{1}{5}$ of the problems. In March's Math Meet, they solved $\frac23$ of the problems. (There might be different numbers of problems asked in November and March.)
In total, the Little Monsters solved $13$ of $30$ problems over both Math Meets. How many problems were asked at March's Math Meet?
The Little Monsters of Beast Academy completed 15 problems during the math meet in March.
How to calculate the total number of issues resolved in MarchThe issue is a simultaneous equation involving two equations and two unknowns.
These are the equations that are created:
Let the quantity of questions that the students at the Beast Academy have answered in
March be xNovember be yThe Little Monsters of Beast Academy successfully completed $frac1/5$ of the problems in the November = y/5
In Math Meet. they resolved $frac23$ = 2x/3 problems i
Hence:
y/5 + 2x/3 = 12
x + y = 30
When the equation is solved,
x = y = 15
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Can you explain how you got your answer please
A software company bought 73 laptops and paid a total of $61,274 to buy them. How much money did each laptop cost the company?
Answer:
839.369863
(Might need to round it depending on what the question requests)
Step-by-step explanation:
Step 1: I divided $61,274 by 73.
Step 2: I multiplied 839.369863 by 73, and I got 61,274.
---------------------------------------------------------------
If it asks to explain say this:
"I divided the amount of money spent by the total amount of laptops bought, and i got 839.369863, To make sure it can be multiplied by 73 to get $61,274, I multiplied 839.369863 by 73 to get $61,274."
Hope this helps :)
the center for medicare services reported that there were 295,000 reported appeals for hospitalization and other medicare part a services. for this group, 40% of the first round appeals were successful. suppose ten first round appeals were just received. the results follow a binomial distribution. what is the probability exactly two of the appeals was successful? enter answer to four decimal places.
The probability exactly two of the appeals were successful is 0.9536
We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.
This situation can be represented through Binomial distribution as;
[tex]P(X=r)={}^{n}C_{r}(p)^r(1-p)^r[/tex] where [tex]x=0,1,2,3.....[/tex]
where, n = number of trials (samples) taken = 10
r = number of success
p = probability of success which in our question is % of first-round
appeals that were successful, i.e.; 40%
So, here X ~ Binom(n=10 , p=0.40
Probability that at least two of the appeals will be successful = P(X>=2)
P(X >= 2) = 1 - P(X = 0) - P(X = 1)
= 1 - [tex]^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}[/tex]
= 1 - 0.00605 - 0.0403
= 0.9536
Hence, the probability exactly two of the appeals were successful is 0.9536
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One motorcycle travels 80 mph and the second motorcycle travels 60 mph. if the faster motorcycle travels 1 hr longer than the slower motorcycle and it also travels twice the distance of the slower motorcycle, what distance does each motorcycle travel?
Each motorcycle travel a distance of 240 miles for the faster motorcycle and 120 miles for the slower motorcycle.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
Let x = time it took the faster motorcycle to travel
If the faster motorcycle travels 1 hr longer than the slower motorcycle, then the slower motorcycle travels x - 1 hours.
The product of the rate of speed and time is equal to the distance.
Hence, the distance traveled by the faster motorcycle is 80x, while the distance traveled by the slower motorcycle is 60(x - 1).
If the faster motorcycle travels twice the distance of the slower motorcycle, then the distance traveled by the slower motorcycle is 80x/2.
60(x - 1) = 80x/2
Simplify and solve for x.
60(x - 1) = 80x/2
60x - 60 = 40x
20x = 60
x = 3
distance traveled by the faster motorcycle = 80x = 80(3) = 240 miles
distance traveled by the slower motorcycle = 80x/2 = (80)(3)/2 = 120 miles
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pls send the correct answer
Centriod!
A centroid is also known as the centre of gravity.
Hope this answers your question!
Answer: centroid
Step-by-step explanation:
Please help me with this math problem
Answer: B. ≤
Step-by-step explanation:
≤
a government agency wished to estimate the proportion of drivers aged 16-24 who have been involved in a traffic accident within the last year. the agency wished to make the estimate within one percentage point and at 90% confidence. find the minimum sample size required, using the information that, several years ago, the proportion was 0.12.
The required minimum sample size is 2875
Given that,
A government organization wanted to determine how many drivers between the ages of 16 and 24 had recently engaged in an accident. The agency wanted to make the estimate with a 90% confidence level and within one percentage point.
From the standard normal table, the z-critical value at 90% confidence is 1.65.
The information represent E = 0.01, p = 0.12 and z. =1.65 for finding sample size.
n = (Zc / E )² x P(1-P)
= (1.65 2x0.12(1 - 0.12)0.01
= 2874.96 ~ 2875
Hence, 2875 is the necessary number of samples, minimum.
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let s be the total amount heidi spent for scarves. each of the 4 scarves that she bought cost the same. write an expression for the cost of each scarf
The expression for the cost of each scarf is s/4.
According to the question,
We have the following information:
Let s be the total amount Heidi spent for scarves. each of the 4 scarves that she bought cost the same.
Now, the cost of 1 scarf can be easily found by dividing the total cost of the scarves by the number of scarves.
(If we would have to find the cost of 15 scarves then first we would have used division and then multiplication.)
So, we have the following expression:
4 scarves = s
Cost of one scarf = s/4
Hence, the expression for the cost of each scarf is s/4.
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how many units apart are -6 and 4 on the number line
The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all x-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
The correct statement regarding whether the graph is a one-to-one function is:
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
What is an one-to-one function?An one-to-one function is a function in which each output is related to only one input, that is, there are no horizontally aligned points.
These horizontally aligned points happen when an horizontal line is traced on the graph of the function, and crosses the function more than once.
From the graph of the function given by the image at the end of the answer, it can be seen that this line would cross the function twice for values of y between 0 and 2, hence the correct option is:
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
Missing InformationThe problem asks for the correct statement regarding the function given on the image at the end of the answer.
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the function when x = 3: b(x) = -2x-4
Answer: b(3)=-10
Step-by-step explanation:
Is this what you meant?
Jalen bought 4 bottles of water, 2 bags of chips, and a fruit salad. the cost of the fruit salad was $5. this expression was used to represent the amount jalen should pay. 4x +2x +5 based on the expression, the cost of each bottle of water is the cost of each bag of chips.
The cost of each bottle of water is equal to the cost of each bag of chips.
The expression:
The expression is defined as a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)
Here it is given that 4 bottles, 2 bags of chips, and a fruit salad.
The price of a fruit salad is $5.
The expression given is:
4x + 2x + 5
To find the relation between the price of a bottle and a bag of chips, we have:
Price of bottles = 4x/4 = x
Price of bag of chips = 2x/ 2 = x
Therefore we get that the cost of each bottle and each bag of chips is the same.
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The complete question is:
Jalen bought 4 bottles of water, 2 bags of chips, and a fruit salad. the cost of the fruit salad was $5. this expression was used to represent the amount Jalen should pay. 4x +2x +5 based on the expression, the cost of each bottle of water is ______the cost of each bag of chips.
your sister earns $30 per day selling clothes at the market, but in order to sell at the market, she has to pay $60 to get a license. You earn $20 per day helping rake your neighbors' lawns. How many days will it take for your sister to earn as much as you?
It will take 6 days for the sister to earn as much as the brother.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, the sister earns $30 per day and pays a $60 license fee and the brother earns$20 per day.
The income of the sister in x days is:
30x - 60
The income of the brother in x days is:
20x
The income of the sister and the brother is equal when:
30x - 60 = 20x
30x - 20x = 60
10x = 60
x = 6
Hence, It will take 6 days for the sister to earn as much as the brother.
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a salesman keeps 20% of his sales as a commission. how much does he have to sell to earn $1,000?
Answer:
He has to sell 5000 to earn $1000
Step-by-step explanation:
1000/0.2 = 5000
Your broker charges you 2.5% commission on the market value of bonds you buy or sell. if you wish to buy a par value $1,000 bond from cuyahoga county with a market rate of 86.681, approximately how much will you owe your broker? a. $25.00 b. $21.67 c. $89.18 d. $27.17
The amount to be paid to the broker is 2167.025. Therefore option b is correct.
Percentage:
A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, and none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.
Here we have to find the amount to pay to the broker.
The given values are:
Market rate = 86.681
The commission charges by broker = 2.5%
The broker has to pay = 86.681 × 2.5% × 1000
= 86.681 × 2.5/100 × 1000
= 86681 × 0.025
= 2167.025
Therefore the amount paid to the broker is 2167.025.
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Answer:
B
I got it right
Step-by-step explanation:
which is an example of a categorical random variable? a. the weight of a package of meat b. the length of the display shelf where the meat is displayed c. the color of a piece of meat d. the number of steaks sold by a supermarket
A six-sided die is rolled, with the potential results being 1, 2, 3, 4, or 6. Gender and illness status are examples of categorical random variable data. A, B, AB, or O correspond to a person's blood type. A voter's potential choice for a political party, e.
What is categorical random variable data?A categorical distribution, also known as a generalized Bernoulli distribution or a multinoulli distribution[1], is a discrete probability distribution used in probability theory and statistics to describe the potential outcomes of a random variable that can fall into one of K different categories, with the probability of each category being true being specified separately. Although numerical labels are frequently used to describe the distribution, there is no inherent ordering to these results (e.g. 1 to K). The most typical distribution over a K-way event is the K-dimensional categorical distribution; any other discrete distribution over a size-K sample space is a special instance.The only restriction on the parameters indicating the probability of each potential event is that they must all fall between 0 and 1.Hence, the example is . the color of a piece of meat
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The fraction of a mile that Evan has to hike and the fraction he has hiked, gives the completed statement as follows;
[tex]\frac{5}{6}[/tex] is closest to 1 and [tex]\frac{2}{5}[/tex] is closest to [tex]\frac{1}{2}[/tex]. So the difference is closest to [tex]\frac{1}{2}[/tex]
What is a fraction in mathematics?A fraction is a representation of the part of a whole of an item or collection of items. The distance Evan's hiking trail of [tex]\frac{5}{6}[/tex] miles is a fraction of a mile.
The length of the trail = [tex]\frac{5}{6}[/tex] mile
The distance Evan has hiked = [tex]\frac{2}{5}[/tex] mile
The distance Evan has left to hike is given by the difference between the length of the trail and the distance Evan has hiked as follows;
Distance remaining = [tex]\frac{5}{6} -\frac{2}{5} = \frac{13}{30}[/tex]
Representing the numbers in decimal form, we have;
[tex]\dfrac{5}{6} = 0.8\overline 3[/tex]
The value of [tex]\frac{5}{6}[/tex] is close to 1
[tex]\dfrac{2}{5} = 0.4[/tex]
The value of [tex]\frac{2}{5}[/tex] is closest to 0.5
[tex]\dfrac{13}{30} = 0.4\overline 3[/tex]
The difference between [tex]\frac{5}{6}[/tex] and [tex]\frac{2}{5}[/tex], which is [tex]\frac{13}{30}[/tex] is therefore closest to [tex]\frac{1}{2}[/tex]
The completed statement is therefore;
[tex]\frac{5}{6}[/tex] is closest to 1 and [tex]\frac{2}{5}[/tex] is closest to [tex]\frac{1}{2}[/tex] so the difference is closest to [tex]\frac{1}{2}[/tex]
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A company orders 15 boxed lunches from a deli for $175.50. If each boxed lunch costs
the same amount, how much do 5 boxed lunches cost?
Answer: $58.50
Step-by-step explanation:
We will set up a proportion to help us solve.
[tex]\displaystyle \frac{15\; \text{boxed lunches}}{\$175.50} =\frac{5\; \text{boxed lunches}}{\$x}[/tex]
Next, we will cross-multiply.
15 * x = 175.5 * 5
15x = 877.5
x = $58.50
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3) an applicant for a job has to take an aptitude test. suppose that the time it takes to finish the test is normally distributed with mean time 69 minutes and standard deviation 8 minutes. determine how much time an applicant should be given so that 97 percent of them will be able to complete the test.
An applicant needs 84.04 minutes to finish the test in order for 97 percent of them to pass.
An aptitude test is required of job candidates. Let's assume that the test's completion time has a mean of 69 minutes and a standard deviation of 8 minutes.
To get how much time an applicant should be given so that 97 percent of them will be able to complete the test.
Mean (μ) = 69
standard deviation (σ) =8
Hence, due to population standard deviation (σ) is known to use the normal distribution.
x_ Norm (μ,σ)
x_ Norm (69,8)
Therefore, x_ random variable that represents the time of applicant;
P(X<x) = 0.97
Corresponding to the left tail area of 0.97 lies in the z-table of z row of 1.8 and column 0.08.
P(z < 1.88) = 0.97
z < 1.88
(X - μ)/σ < 1.88
X < 1.88 (8) + 69
X < 84.04
The time taken by an applicant so that 97 percent of them will be able to complete the test is 84.04 minutes.
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The difference between 2 times an angle's
supplement and 120 is 30. Find the measure of
the angle.
Answer:
105
Step-by-step explanation:
the product of 180 and the positive integer n is a perfect cubic number. what is the least possible value of n?
The least possible value of n, where the product of 180 and the positive integer n is a perfect cubic number is 150.
so, by the question,
n×180 is a perfect cube
on the prime factorization of 180, we get
180 = 2²×3²×5
so the number should be
n = 2 × 3 × 5² =150
when we multiply both of them we get
180×n = (2²×3²×5)×(2 × 3 × 5²)
= (2³×3³×5³)
=(2×3×5)³
=(30)³
=27000
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Round 41.86632 off each number
to two (2) Decimal Place
Answer:
2 d.p = 41.87
Step-by-step explanation:
41.86/632
check whether its below or above 5 then round it to the nearest number
2 d.p = 41.87
Answer: 41.87
Step-by-step explanation:
41.86632 to 2 dp is 41.87
Which graph shows how to graph a line with a slope of 3 and y intercept of -2
The equation of the line is y=3x-2 where the slope is 3 and the y-intercept is -2.
What is meant by the graph?A diagrammatic depiction of a set of facts is called a graph, chart, or diagram.
Graphs need to be accurate and effective in communicating information. They ought to be legible at different computer screen resolutions. Graphs should ideally be pleasing to the eye.
Please be aware that the terms graph, chart, and diagram can be imprecise and are sometimes used synonymously.
Graphs need to be accurate and effective in communicating information. They ought to be legible at different computer screen resolutions.
Given,
Slope m=3
y-intercept (c)=-2
The slope-intercept form is given as
y=mx +c
Therefore, y=3x-2
The equation of the line is y=3x-2 where the slope is 3 and the y-intercept is -2.
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given p (1,3) q(8,-4), r(2,9) and s(7,y). find y such that pq || rs
By secant line formula, the missing value of the point S is equal to 4.
How to determine the missing coordinates of a point related to two parallel line segments
Two line segments are parallel if and only if both line segments have the same slope. Slopes can be determined by secant line formula, defined below:
m = Δy / Δx
Where:
Δx - Change in the variable x. Δy - Change in the variable y.Then, the missing value of the variable y in the point S is:
(- 4 - 3) / (8 - 1) = (y - 9) / (7 - 2)
- 7 / 7 = (y - 9) / 5
- 1 = (y - 9) / 5
- 5 = y - 9
y = 4
The missing value of the variable y is 4.
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using a z-table like the one found in lectures, or a z-score calculator, approximately what is the probability of randomly drawing a value greater than 3.0 from a z-distribution? question 3 options: .9995
The probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013
What does z-score mean?The Z-score, commonly referred to as the standard score, expresses how far away from the mean an object is.
An element that is below the mean is indicated by a z-score that is less than 0.
An element bigger than the mean is indicated by a z-score greater than 0.
An element that is equal to the mean is represented by a z-score of 0.
P(Z > a) = 1-P(Z<a)
Let's say we want to know, for instance, the likelihood that a z-score will be higher than 3.00.
We learn from the table, that
P(Z < 3.00) = 0.9987.
Therefore,
P(Z > 3.00) = 1 - P(Z < 3.00)
= 1 - 0.9987
= 0.0013.
Therefore, the probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013
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The solutions of the equation x^2 - 6x + d = 0 are both integers. d is a prime number. Find d
The solutions of the equation x^2 - 6x + d = 0 are both integers and d is a prime number is 5.
How to determine the value of d?From the information, the solution of the equation x^2-6x+d=0 are integers
To find d, the numbers which can be added or subtracted to get -6 is needed which when multiplied will give a prime number
In this case - 5- 1 = -6
And when multiplied (-5×-1) will give +5 which is a prime number.
Therefore, x^2-6x+5=0
This illustrates that d is 5.
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Randy and two of his friends have rectangular desks of the exact same size. The sum of the perimeters of the 3 desks is 324 inches.
If the width of each of the desks is 30 inches, what is the length of each desk?
The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.
How to calculate the length?From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.
The perimeter for each desk will be:
= 324 / 3
= 108
The perimeter is calculated as:
= 2(length + width)
This will be
2(length + width) = 108
2(length + 30) = 108
2l + 60 = 108
Collect like terms
2l = 108 - 60
2l = 48
Divide
l = 48/2
l = 24
The length is 24 inches.
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