Answer: 8 rows
Step-by-step explanation:
112 students
14 students/row
(112 students)/(14 students/row) = 8 rows
Answer:
8
Step-by-step explanation:
Based on the given conditions, formulate: 122÷14
Cross out the common factor: 8
Find the largest integer less than or equal to : 8:8
Answer: 8
Determine the domain of the following graph:
The domain of the given graph is -9 ≤ x ≤ 3.
What is domain?The domain of a function f is the set of all values of x for which f(x) is defined and real.
Now from the given graph it is seen that the graph runs from -9 to 3 on x-axis.
and it is known that the domain of the graph is the set of all possible values of x.
Hence the required domain the given graph is written as,
-9 ≤ x ≤ 3
Thus, the domain of the given graph is -9 ≤ x ≤ 3.
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Plsssss help I will give brainiest to the one with the correct answer.
We can see here that some strategies needed to order and group the factors are:
Prime factorizationCommon factorsWhat are factors?A factor in mathematics is a number that divides another number by itself without producing a residue. As an illustration, 2 is a factor of 6 since 6 divided by 2 equals 3 with no residue.
We can see here that some reasons needed to reorder some factors:
To make the problem easier to solveTo make the problem more visually appealingFactors are an important concept in mathematics and in many other fields. They are used to solve problems, to design things, and to understand the world around us.
Calculating the given factors, we have:
5. 2 × 10 × 5 = 100
6. 2 × 8 × 2 = 32
7. 3 × 9 × 3 = 81
8. 5 × 2 × 6 = 60
9. 4 × 5 × 2 = 40
10. 2 × 9 × 2 = 36
11. 3 × 8 × 3 = 72
12. 4 × 2 × 2 = 16
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A product's demand in each period follows a Normal distribution with mean 50 and standard deviation 6. The order up to level S is 225. Lead time is 3 periods. What is the stock out probability ? Show all calculations, formulas used and results.
The stockout probability is extremely small, as the z-score of 7.22 corresponds to a very high demand compared to the available stock.
What is probability?
Probability is a fundamental concept in mathematics and statistics that quantifies the likelihood of an event occurring. It represents a numerical measure between 0 and 1, where 0 indicates an event is impossible, and 1 denotes the event is certain to happen.
Given:
Mean demand per period\((\(\mu\))\) = 50
Standard deviation of demand per period\((\(\sigma\))\)= 6
Order-up-to level \((\(S\)) = 225\)
Lead time \((\(L\)) = 3 periods\)
We can calculate the demand during the lead time as follows:
Mean demand during the lead time: \(\(\mu_L = \mu \times L\)\)
Standard deviation of demand during the lead time:\(\(\sigma_L = \sigma \times \sqrt{L}\)\)
Substituting the given values, we have:
\(\(\mu_L = 50 \times 3 = 150\)\(\sigma_L = 6 \times \sqrt{3} \approx 10.39\)\)
To calculate the stockout probability, we need to compare the demand during the lead time to the available stock. Since the demand follows a Normal distribution, we can use the z-score formula:
\(\(z = \frac{S - \mu_L}{\sigma_L}\)\)
where \(S\) is the order-up-to level.
Substituting the values, we have:
\(\(z = \frac{225 - 150}{10.39} \approx 7.22\)\)
We can then use a standard Normal distribution table or a statistical software to find the probability of a z-score being greater than 7.22. The stockout probability is equal to this probability.
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1,325,468.097 what is the value of the underline digit?
Answer:
a
Step-by-step explanation:
Answer:
The answer is tenths
Step-by-step explanation:
.0 = tenths
.09 = hundredths
.097 = thousandths
what is 13/2 as an imporper fraction
Answer:
since 13/2 is already an improper fraction.. as a mixed number it would be 6 1/2.
Step-by-step explanation:
Answer:
6 ¹/²
Step-by-step explanation:
hope you have a great day.
brainliest is appreciated
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
The most appropriate measure of center to represent the data in the given line plot is the mode.
The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:
There is one dot above 2, 4, 8, and 9.
There are two dots above 6 and 7.
There are three dots above 3.
Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.
The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.
While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.
Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
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Emily is purchasing a new printer for $180. She can also
purchase a warranty at an additional cost of $25. With the
warranty, Emily can get the printer replaced for free, should it
ever break. If there's a 6% probability that the printer will
break during the time Emily owns it, what is the expected value
of the warranty? Be sure to write your answer to two decimal
places. Also, should she purchase it?
The expected value of the warranty for Emily's printer is $1.50, indicating a potential gain. Whether she should purchase it depends on personal circumstances and the value she places on peace of mind and free replacement.
To calculate the expected value of the warranty, we need to consider the cost of the warranty and the probability of the printer breaking.
The cost of the warranty is $25, and the probability of the printer breaking is 6% or 0.06.
The expected value is calculated by multiplying the cost by the probability of the event occurring. In this case, it is:
Expected Value = Cost of Warranty * Probability of Printer Breaking
Expected Value = $25 * 0.06
Expected Value = $1.50
Therefore, the expected value of the warranty is $1.50.
Now, should Emily purchase the warranty?
If the expected value of the warranty is positive, it means that the potential benefit outweighs the cost, making it a favorable option. In this case, since the expected value is $1.50, which is positive, Emily can expect to gain $1.50 on average by purchasing the warranty.
However, it's important to consider personal circumstances and risk tolerance. If Emily is confident in the printer's quality or already has an alternative plan for potential repairs, she may choose not to purchase the warranty. On the other hand, if she values the peace of mind and wants the assurance of a free replacement, she may decide to purchase the warranty.
Ultimately, the decision to purchase the warranty depends on Emily's individual preferences and circumstances.
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PLEASE PLEASE PLEASE HELP ME. IM STUCK IN A SUMMER SCHOOL AND IF I DONT GET GOOD GRADES ILL GET IN BIG TROUBLE AND IM TOTALLY LOST ON THIS PROBLEM. I ALREADY DID THE FIRST TWO BUT I DONT KNOW HOW TO DO THE LAST ONE. PLEASE HELP ME!!!!
Answer:
We know that in the box there are:
4 twix
3 kit-kat
Then the total number of candy in the box is:
4 +3 = 7
a)
Here we want to find the probability that we draw two twix.
All the candy has the same probability of being drawn from the box.
So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:
p = 4/7
Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.
this time the probability is:
q = 3/6 = 1/2
The joint probability is the product of the individual probabilities, so here we have
P = p*q = (4/7)*(1/2) = 2/7
b) same reasoning than in the previous case:
For the first bar, the probability is:
p = 3/7
for the second bar, the probability is:
q = 2/6 = 1/3
The joint probability is:
P = p*q = (3/7)*(1/3) = 1/7
c) Suppose that first we draw a twix.
The probability we already know that is:
p = 4/7
Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)
q = 3/6
The joint probability is:
P = p*q = (4/7)*(3/6) = 2/7
But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:
Probability = 2*P = 2*2/7 = 4/7
The volume of a cube is decreasing at a rate of 210mm3/s. What is the rate of change of the cube’s surface area when its edges are 70mm long?
The rate of change of the cube's surface area when its edges are 70mm long is -0.014 mm/s.
This indicates that the surface area is decreasing at a rate of 0.014 \(mm^2/s.\)
To find the rate of change of the cube's surface area when its edges are 70mm long, we can use the formulas for the volume and surface area of a cube.
The volume of a cube is given by\(V = s^3,\) where s is the length of the cube's edges.
In this case, the volume is decreasing at a rate of 210mm^3/s.
Differentiating both sides of the equation with respect to time, we get \(dV/dt = 3s^2 ds/dt,\)
where dV/dt represents the rate of change of volume and ds/dt represents the rate of change of the edge length.
Since we are given that \(dV/dt = -210mm^3/s\) and s = 70mm, we can substitute these values into the equation and solve for ds/dt.
\(-210 = 3(70^2) ds/dt\)
-210 = 3(4900) ds/dt
\(ds/dt = -210 / (3 \times 4900)\)
ds/dt = -0.014 mm/s
Therefore, the rate of change of the cube's surface area when its edges are 70mm long is -0.014 mm/s.
This indicates that the surface area is decreasing at a rate of 0.014 \(mm^2/s.\)
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Perform the summation using the following set of data: 2,3,3,4,5 (5 marks). Show formula and calculation. ∑(2x2)+4=
The value of the summation using the given set of data is 42.
Given that the set of data is 2,3,3,4,5.
We are required to perform the summation using the set of data and find ∑(2x2)+4.
Summing the set of data:
2+3+3+4+5 = 17
Now, we can apply the given formula.
∑(2x2)+4 = (2+4)+(2x3)+(2x3)+(2x4)+(2x5)
On solving we get,
∑(2x2)+4 = 12+6+6+8+10
∑(2x2)+4 = 42
Therefore, the value of the summation using the given set of data is 42.
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ow many groups of
1
5
5
1
start fraction, 1, divided by, 5, end fraction are in
4
44?
By the calculations below, there are 20 groups of 1/5 in 4.
Division of Fractions: Finding GroupsTo find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.
Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:
4 ÷ 1/5
To find the reciprocal of 1/5, we flip the fraction:
1/5 → 5/1
Now, we can rewrite the division problem as multiplication:
4 ÷ 1/5 = 4 × 5/1
Multiplying across gives:
4 × 5/1 = 20
Therefore, there are 20 groups of 1/5 in 4.
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Choose all the solids from the list below. Rectangle Pyramid Cylinder Cone Prism Circle
Answer:
Pyramid, cylinder, cone, prism
Step-by-step explanation:
Answer:
Pyramid, cylinder, cone, prism
Step-by-step explanation:
in general, the first step in conducting exploratory research is to group of answer choices assemble a focus group. perform an experience survey. conduct a literature search. perform an analysis of selected cases. narrow a group of hypotheses to one specific hypothesis for investigation.
The first step in conducting exploratory research is to conduct a literature search. (Option 3)
Exploratory research is a type of research design used when the researcher has little or no knowledge about the research problem. The purpose of exploratory research is to gain a better understanding of the problem, identify potential research questions, and develop a hypothesis or research design.
The first step in exploratory research is to conduct a literature search, which involves reviewing existing research and publications related to the research problem. This helps the researcher to identify key concepts and theories related to the problem, as well as to identify any gaps or limitations in the existing research.
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Complete Question:
in general, the first step in conducting exploratory research is to___.
group of answer choices
assemble a focus group. perform an experience survey. conduct a literature search. perform an analysis of selected cases. narrow a group of hypotheses to one specific hypothesis for investigation.A teacher gave a unit test to both of her statistics classes. The mean test grade for Class A was 77 points, with a standard deviation of 5 points, whereas the mean test grade for Class B was 80, with a standard deviation of 7 points. Kyle, in Class A, received an 82 on the test, and Caleb, in Class B, received an 87. Whose performance on the unit test was better relative to their class?
Answer:
i think they would be the same
Step-by-step explanation:
77+5=82 or 77-5=72
so he is within the range of 72-82
80+7=87 80-7=73
so he is also within the range of 73-87
Since both Kyle and Caleb scored 1 standard deviation above their respective class means, we can conclude that their performances were relatively equal.
What is standard deviation?A standard deviation is a measure of how far apart the data is from the mean.
A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation indicates that data is more spread out.
To determine whose performance was better relative to their class, we need to calculate their z-scores, which tell us how many standard deviations a particular score is from the mean.
For Kyle in Class A:
z-score = (82 - 77) / 5 = 1
This means that Kyle's score is 1 standard deviation above the mean for his class.
For Caleb in Class B:
z-score = (87 - 80) / 7 = 1
This means that Caleb's score is also 1 standard deviation above the mean for his class.
Thus, we can conclude that Kyle and Caleb's performances were comparable because they both scored one standard deviation above their respective class means.
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What expression is equivalent to (x2 + 2x − 6) – (5x^2 + 2x − 8)?
The only type of dance performed to jazz music is tap dancing. OA True ов. False
Answer:
False
(I searched it up)
Assume A is an n × n matrix. Answer "True" if the statement is always true, and "False" otherwise. a. If A is a stochastic matrix, then its 1-eigenspace must be a line. Choose ▼ b. If A is a stochastic matrix, then 1 must be an eigenvalue of A. Choose c. If A is a positive stochastic matrix, then repeated multiplication by A pushes each vector toward the 1-eigenspace. Choose d. If A is a square matrix, then A and A" must have the same eigenvalues. Choose ▼
The statements that is always true or false given that A is an n × n matrix are; A. True. B. True C. True, D. True
What should you know about n × n matrix?A. A stochastic matrix always has 1 as an eigenvalue, and the corresponding eigenvector forms a line, the 1-eigenspace. in other words, A stochastic matrix is a matrix whose rows sum to 1. This means that the sum of the elements in each row of A is equal to 1.
B. a stochastic matrix always has 1 as an eigenvalue. The eigenvalues of a matrix are the roots of its characteristic polynomial.
C. A positive stochastic matrix is a stochastic matrix whose entries are all non-negative. If A is a positive stochastic matrix, then repeated multiplication by A pushes each vector toward the 1-eigenspace.
D. For a square matrix, the eigenvalues of a matrix and its transpose are the same.
The above answer for D is based on the assumption that question D is
d. If A is a square matrix, then A and A^T must have the same eigenvalues.
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Find the quotient. 1 3 4- = 1 2 4 1. 3 4 = 1 2 4 h (Type a whole number, fraction, or mixed number.) 42 +13=0
2 4/7
1) Let's turn those mixed numbers into improper fractions, to make our calculations easier:
\(\begin{gathered} 4\frac{1}{2}=\frac{2\times4+1}{2}=\frac{9}{2} \\ 1\frac{3}{4}=\frac{4\times1+3}{4}=\frac{7}{4} \\ \end{gathered}\)2) Now let's divide those improper fractions, reciprocating the second one and multiplying it by the first one:
\(\frac{9}{2}\colon\frac{7}{4}=\frac{9}{2}\times\frac{4}{7}=\frac{36}{14}=\frac{18}{7}\)3) Hence, we can write that the quotient of that division 4 1/2 by 1 3/4 is equal to 18/7. To turn it into a Mixed Number let's divide 18/7 and write our Mixed Number equivalent to 18/7:
On the graph below, draw any line with a slope of *positive* 2 and draw any line with a slope of *negative* 2.
Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
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If the point (0, -3) lies in the solution set of an inequality, which of the following could be that inequality?
Answer:
a
Step-by-step explanation:
a student buys (x) fashion magazines and (y) sports magazines. Each fashion magazine costs $2.00 and each sports magazine costs $1.60. If the student buys a total of 8 magazines for $14.00, which equation best represents the situtation
Answer:
Step-by-step explanation:
the student buys a total of 8 magazines for $14.00
x+y = 8
x = 8-y
2x+1.6y = 14
2(8-y)+1.6y = 14
16-2y+1.6y = 14
16-0.4y = 14
0.4y =16-14 = 2
y = 2/0.4 = 5
x = 8-y = 3
The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A student buys (x) fashion magazines and (y) sports magazines.
And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.
Here, The student buys a total of 8 magazines for $14.00.
Hence, We can formulate;
⇒ x + y = 8
And, 2x + 1.60y = 14.00
Thus, The correct equation best represents the situation is,
⇒ x + y = 8
And, 2x + 1.60y = 14.00
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A direct mail company wishes to estimate the proportion of people on a large mailing list that will purchase a product. Suppose the true proportion is 0.06
If 276 are sampled, what is the probability that the sample proportion will be less than 0.1? Round your answer to four decimal places.
The probability that the sample proportion will be less than 0.1 is 1.0000.
To find the probability that the sample proportion will be less than 0.1 when a direct mail company samples 276 people and the true proportion is 0.06, we can use the normal approximation for the binomial distribution. Here are the steps:
1. Calculate the mean (μ) and standard deviation (σ) of the binomial distribution.
μ = n * p = 276 * 0.06 = 16.56
σ = √(n * p * (1 - p)) = √(276 * 0.06 * 0.94) ≈ 3.94
2. Convert the sample proportion to a z-score.
z = (x - μ) / σ = (0.1 * 276 - 16.56) / 3.94 ≈ 7.01
3. Use a z-table or calculator to find the probability corresponding to this z-score. Since we want the probability that the sample proportion is less than 0.1, we look up the area to the left of the z-score.
P(z < 7.01) ≈ 1.0000 (almost certain)
The probability that the sample proportion will be less than 0.1 when 276 people are sampled is approximately 1.0000, or almost certain.
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how many license plates can be made using either 3 digits followed by 3 letters, or 3 letters followed by 3 digits?
Answer:
infinite
Step-by-step explanation:
the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite
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You are dealt one card from a standard 52-card deck. Find the probability of being dealt the queen of diamonds.
We need to find the probability of being dealt the queen of diamonds when you are dealt one card from a standard 52-card deck.
A standard deck has four queens. And just one of them is a queen of diamonds.
Thus, 1 out of 52 cards is the queen of diamonds.
Therefore, the probability of being dealt the queen of diamonds is given by 1 divided by 52:
\(\frac{1}{52}\)PLEASE HELP!! this is due tonight.
If DM = 35, what is the value of r? DG = r+2. GM = 2r-13.
Based on the given parameters, the value of r is 46/3
How to determine the value of r?
The given parameters are
DG = r + 2
GM = 2r - 13
DM = 35
This means that
DM = DG + GM
So, we have
r + 2 + 2r - 13 = 35
Evaluate the like terms
3r = 46
Divide both sides by 3
r = 46/3
Hence, the value of r is 46/3
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which is an incorrect rounding for 53.864
53.87,54,53.9,50
Answer:
53.87
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
All of the other ones are correct.
rounded to the nearest 100th place, it's: 53.87
rounded to the nearest 10th place its: 53.9
rounded to the nearest whole number its: 54
Brainliest pls. really need it
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The probability of a chance event is 0.8, it is __________ to happen when compared to a chance event with a probability of 0.9. Select one: equally likely less likely more likely both more and less likely
Answer:
less likely
Step-by-step explanation:
In the question, we are to choose which of the options best fit into blank space.
Talking about probabilities, the probability of events ranges from 0 to 1. With 1 being the highest value the probability of an event can take while 0 is the lowest value the probability of an event can take. The probability of an event can neither be negative, nor greater than 1. It lies between 0 and 1
Now, the closer a probability is to 1, the greater the likelihood of that particular event happening. Events having probabilities closer to 1 are more likely to occur than those farther away from 1 or closer to zero.
In this question, 0.9 is a greater value compared to 0.8. Thus, an event of probability 0.9 is more likely to happen compared with an event with probability of 0.8
In other words, an event with probability 0.8 is less likely to occur compared with an event with a probability value of 0.9
Martha is following a recipe for 13 liters of punch that uses 8 liters
of pineapple juice and the rest lemonade.
How much pineapple juice is used for every liter of lemonade?
Answer:
8 : 5
Step-by-step explanation:
for every 5 L of lemonade, there is .625 of a L pineapple juice
5 ÷ 8 = .625
Have a good day i hope this helps can i get a brainiest if right? Stay safe!
Use the rules of equations and Inverse operations to solve the equation.
3x² = 48
04
0 +4
0 -4
0+2
Answer:
Below
Step-by-step explanation:
3 x^2 = 48 divide both sides of the equation by 3 to get
x^2 = 16 Now, sqrt both sides
x = + 4 or -4