Answer:
45002
Explanation:
Create all of the possible arrays for modeling a rectangular quilt with
the 24 paper squares. Write an equation to accompany each array.
You can use the attached pre-made quilt squares by cutting and
pasting them, or you can draw the arrays with your own designs on a
separate sheet of paper?
An equation to accompany each array is as follows;
(r³ - 3) × 1 = 24, (r² + 3) × 2 = 24, (r² - 1 ) × 3 = 24, (r² - 3 ) × 4 = 24, (r) × 8 = 24, (r - 1 ) × 12 = 24, and (r - 2) × 12 = 24 where, r = 3.
How to model a rectangular array?The rectangular array will be considered as rows.
Now, when we take the first side as the length represented by L and the second side as the width represented by W.
Area of a rectangle is given by the formula;
Area = length * width
Area = L * W
We are modeling a rectangular quilt with the 24 paper squares and as such the total area of the quilt is 24 squares which means;
24 × 1 = 24
All squares are arranged in a single row;
(r³ - 3) × 1 = 24
12 × 2 = 24
12 squares arranged in 2 rows.
(r² + 3) × 2 = 24
8 × 3 = 24
8 squares arranged in 3 rows.
(r² - 1 ) × 3 = 24
6 × 4 = 24
6 squares arranged in 4 rows.
(r² - 3 ) × 4 = 24
3 × 8 = 24
3 squares arranged in 8 rows.
(r) × 8 = 24
2 × 12 = 24
2 squares arranged in 12 rows.
(r - 1 ) × 12 = 24
1 × 24 = 24
1 square arranged in 24 rows.
(r - 2) × 12 = 24
In all of the above r = 3.
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What is the purpose of taking a personality inventory assessment?
O A.
OA. to find out what personality traits you should acquire for a successful career
B.
to identify your personality traits and relate them to a suitable career
O.C. to compare your personality traits with those of successful people in different
O D.
Identify aspects of your personality that you can improve with the help of am
Find the sample variance and the standard deviation for the following sample. Round the answers to at least two decimal places as needed. 16 30 20 18 13
Answer:
The sample variance is 41.8
The standard deviation is 6.465
Explanation:
Given: \(\text{n}=5\)
Formulas used:
\(\begin{aligned}\text{Sample Mean} \;\left(\text{X} \right )&=\frac{\sum X}{\text{n}}\\\text{Sample Variance}\;\left(\text{S}^2 \right )&=\frac{\sum \left(\text{Xi-X} \right )^2}{\text{n}-1}\\\text{Sample Standard Deviation}&=\sqrt{\text{S}^2}\\\end{aligned}\)
Computation:
\(\begin{aligned}\text{Sample Mean} \;\left(\text{X} \right )&=\frac{16+30+20+18+13}{5}\\&=19.4\\\text{Sample Variance}\;\left(\text{S}^2 \right )&=\frac{\left(16-19.4 \right )^2+\left(30-19.4 \right )^2+\left(20-19.4 \right )^2+\left(18-19.4 \right )^2+\left(13-19.4 \right )^2}{5-1}\\&=41.8\\\text{Standard Deviation}&=\sqrt{41.8}\\&=6.465\\\end{aligned}\)
A type of capacitor has resistances that vary according to a normal distribution, with a mean of 600 mega ohms and a standard deviation of 150 mega ohms. A certain application specifies capacitors with resistance of between 850 and 1000 mega ohms. What proportion of these capacitors will meet this specification?
Answer:
introduction to Probability and Its Applications (3rd Edition) Edit edition ... vary according to a normal distribution, with a mean of 800 megohms and a standard deviation of 200 ... a What proportion of these capacitors will meet this specification? ... Specifications dictate values should be between 900 and 1,000 megohms.
Explanation:
The number of tickets purchased by an individual for Beckham College’s holiday music festival is a uniformly distributed random variable ranging from 2 to 10. Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.)
Answer:
The mean of the distribution is 4.00 and the standard deviation is 2.31
Explanation:
Given
Range = 2 to 10
Type of distribution = uniform distribution
Required
1. Mean
2. Standard Deviation
The mean of uniform distribution is calculated as thus;
\(Mean = \frac{1}{2}(a + b)\)
Where b and a are the intervals of the distribution
b = upper bound = 10
a = lower bound = 2
So,
\(Mean = \frac{1}{2}(a + b)\)
Substitute 10 for b and 2 for a
\(Mean = \frac{1}{2}(2 + 10)\)
\(Mean = \frac{1}{2}(12)\)
\(Mean = \frac{1}{2} * 12\)
\(Mean = 6\)
\(Mean = 6.00\) (Approximated to 2 decimal places)
The standard deviation of uniform distribution is calculated as thus;
σ = √σ²
Where σ represents the standard deviation and σ² represents the variance.
Calculate variance
σ² = Var
\(Var = \frac{(b-a)^2}{12}\)
Substitute 10 for b and 2 for a
\(Var = \frac{(10 - 2)^2}{12}\)
\(Var = \frac{8^2}{12}\)
\(Var = \frac{64}{12}\)
\(Var = 5.33\)
Recall that
σ = √σ² = √Var
Substitute 5.33 for Var
σ = √5.33
σ = 2.309401076758503
σ = 2.31 (Approximated)
Hence, the mean of the distribution is 4.00 and the standard deviation is 2.31
John takes out a loan for $ 12 , 000 at a simple interest rate of 4.5 % to be paid back in 36 monthly installments. What is the amount of the monthly payments? Round the answer to the nearest cent if necessary.
Answer:
M = 4,500
Explanation:
P = 12,000
i = 4.5% / (12 months) = 0.375
L = 36 months
0.375
M = 12, 000 * -----------------------------
-36
1 - ( 1 + 0.375)
M = 4,500
To what extent are communities benefiting from the various legislations put in place to ensure safe and healthy living environments in South Africa? ocial
The degree of benefit that South African communities are deriving from laws aimed at guaranteeing secure and salubrious living conditions is not uniform.
How can this be explained?Although these laws have the ability to create a beneficial effect, hurdles still exist with regards to their execution and adherence.
The complete realization of the advantages of a particular thing may be impeded by various factors like scarcity of resources, corruption, and disparity. Nevertheless, certain communities have undoubtedly observed advancements in critical aspects such as the availability of safe drinking water, hygienic facilities, and habitation, all of which augment the overall well-being of its inhabitants.
Persistent action is necessary to tackle prevailing disparities and ensure fair allocation of these advantages among all populations.
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Question 6 of 20
Signs of test.
include insomnia, headaches, and panic.
OA. exhilaration
O B. anxiety
O C. depression
OD. fatigue
Answer:
B. Anxiety
Explanation:
in case of distance judgment the brain receives blank from the two eyes
Answer:
two slightly different images
Explanation:
Show the effect of this change on the market for peanut butter by shifting one of the curves on the following graph, holding all else constant.
Answer:
Whaaaat???
Explanation:
Thomas wants to estimate the mean height of students attending his college. He records the heights of 25 randomly selected students attending the college. What is the parameter?
Answer:
He records the heights of 25 randomly selected students attending the college. What is the parameter? A parameter is a number that is used to represent a population characteristic. In this case, the parameter is the mean height of all students attending the college.
Is jingle bells sacred or secular?
2. In its first year, “DM Trading” had the following experience: Unit selling price birr 100 Sales 50,000 units Total fixed cost birr 400,000 TVC birr 3,000,000 Required: a) Develop TR, TC and profit functions for the company in terms of quantity b) Find the breakeven point in terms of quantity and sales volume.
a) The total revenue (TR) function can be calculated by multiplying the unit selling price by the quantity sold.
In this case, TR = 100 * Q, where Q represents the quantity sold. The total cost (TC) function consists of the sum of fixed costs (FC) and total variable costs (TVC). Given that the fixed costs are 400,000 birr and the TVC is 3,000,000 birr, the TC function can be expressed as:TC = FC + TVC = 400,000 + 3,000,000 = 3,400,000 birr.
The profit function (P) can be determined by subtracting the total cost from the total revenue, so P = TR - TC = 100Q - 3,400,000 birr.
b) The breakeven point can be found by setting the profit function equal to zero, as this is the point where total revenue equals total cost.
In this case, 100Q - 3,400,000 = 0. Solving for Q, we find Q = 3,400,000 / 100 = 34,000 units. Therefore, the breakeven point in terms of quantity is 34,000 units. To calculate the sales volume at the breakeven point, we can multiply the breakeven quantity by the unit selling price:Sales Volume = 34,000 units * 100 birr/unit = 3,400,000 birr. Hence, the breakeven point in terms of sales volume is 3,400,000 birr.
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what are symptoms of the dutch disease
Find the sample variance and standard deviation for the following sample. Round the answers to two decimal places as needed.
15, 37, 23, 18, 17, 10
Please show work.
Answer:
Explanation:
To find the sample variance and standard deviation, we need to first find the mean of the sample, and then use that to calculate the variance and standard deviation.
The mean of the sample is:
(15 + 37 + 23 + 18 + 17 + 10) / 6 = 16
Next, we'll find the difference between each value and the mean, square those differences, and divide the sum of the squared differences by the sample size minus one (n - 1):
(15 - 16)^2 = 1
(37 - 16)^2 = 361
(23 - 16)^2 = 49
(18 - 16)^2 = 4
(17 - 16)^2 = 1
(10 - 16)^2 = 36
The sum of the squared differences is: 1 + 361 + 49 + 4 + 1 + 36 = 452
The sample variance is: 452 / (6 - 1) = 452 / 5 = 90.4
Finally, the sample standard deviation is the square root of the sample variance:
The sample standard deviation is: sqrt(90.4) = 9.49
So, the sample variance is 90.40 and the sample standard deviation is 9.49.
Answer:
sample variance is 90.40 and the sample standard deviation is 9.49
Explanation:
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Answer:
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Explanation:
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Answer:
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Explanation:
Suppose you were making a dichotomous key to identify the three types of leaves shown below. Which of the following traits could you use to classify these leaves into separate groups?
Question 3 options:
Presence or absence of veins (the lines) in the leaves.
Presence or absence of stems.
How leaves are arranged on branches.
The specification 'leaves found in deciduous forest and leaves found in tropical forest' should not be used when making this dichotomous key. It is not part of a classification system.
What is a dichotomous key?
A dichotomous key is a methodology employed by taxonomists to identify organisms from different taxonomic groups. The dichotomous keys are always funded on phenotypic traits. Dichotomous keys can be considered as two different options to identify a given feature of an organism.
Monocots are the plants having only one cotyledon or seed with only one leaf also called monocotyledons. Dicots are the plants having two cotyledons or seed with two leaves.
Monocots and dicots have few characters that make them easily recognizable such as venation pattern: The arrangement of veins in a leaf is called the venation pattern; dicots have a reticulate or network of veins type venation, while monocots have parallel venation.
Therefore, The specification 'leaves found in deciduous forest and leaves found in tropical forest' should not be used when making this dichotomous key. It is not part of a classification system.
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How are the astronomer in the first poem and the little girl in the second poem ALIKE?
es )
A)
Both look for answers from nature.
B)
Both are sad at the thought of death.
Both focus on appearance instead of on what is behind it.
D)
Both are trying to understand the motions of the heavenly bodies.
Answer:
C
Explanation:
Just did it right now
Answer:
C. they both focus on appearance, instead of on what is behind it
Explanation:
If the area under the PDF curve is zero, then
Probability not defined
Probability - 1
Probability=0
Data insufficient
Note that if the area under the PDF curve is zero, then Probability = 0 (Option C).
What is a PDF Curve?At every point on the graph, this function is positive or non-negative, and the integral, more precisely the definite integral of PDF over the whole space, is always equal to one. PDF graphs often resemble a bell curve, with the likelihood of outcomes falling below the curve.
A probability of 0 indicates that the event will not occur. For example, if the probability of getting engaged in a traffic accident was zero, it would imply that it would never happen.
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A total of 202 people attended a graduation party. There were 60 tables at which the guests could sit. Some of the tables accommodated 2 people each, and the rest accommodated 4 people each. Assuming all of the tables were filled to capacity and every person got to sit at a table,
exactly how many of the tables accommodated 2 people?
Answer:
19 tables had 2 people
Explanation:
2x19 = 38
4x41=164
164+38=202
What percent of the population of world is 6885.6 millions lives in countries other than Canada and Guam
Approximately 97.06% of the world's population lives in countries other than Canada and Guam.
To find out what percentage of the world's population lives in countries other than Canada and Guam, we need to know the population of Canada, the population of Guam, and the total population of the world. We can then subtract the population of Canada and Guam from the total population of the world to find out how many people live in countries other than Canada and Guam.
Finally, we can divide this number by the total population of the world and multiply by 100 to find out what percentage of the world's population lives in countries other than Canada and Guam. Let's go through the steps. According to the World Bank, the population of Canada in 2021 is approximately 38 million.
According to the CIA World Fact book, the population of Guam in 2021 is approximately 170,000. To find the total population of the world, we can use the United Nations' estimate of 7.9 billion people as of 2021. So, the population of countries other than Canada and Guam is:
7.9 billion - 38 million - 170,000 = 7,747,830,000
Now, to find out what percentage of the world's population lives in countries other than Canada and Guam, we divide this number by the total population of the world and multiply by 100:
(7,747,830,000 ÷ 7,900,000,000) x 100 = 97.06%
Therefore, approximately 97.06% of the world's population lives in countries other than Canada and Guam.
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2. Answer the questions shortly: 2 marks each= 14 marks
1 What should you do if you are not inwardly confident?
2 What do you need
know well?
3 What do '30 seconds' and '15 seconds' refer to?
4 What should you do when you are rejected?
5 What should you focus on?
6 What do you need know when negotiating?
7 What sales mindset should you have?
Answer:
IIIIII
Explanation:
id
What is the area of the rectangle?
11 ft
square feet
2 ft
what are basic elements of the conceptual fraemwork? briefly describe the relationship between the moment in the and period of time elements
The conceptual framework is composed of a basic objective, fundamental concepts, and recognition, measurement, and disclosure concepts.
How is a ratio table used to graph equivalent ratios?
A. Find the value of each ratio as a fraction and plot the fractions on a number line.
B. Find the differences of the values in the ratio table and plot the differences on a number line.
c. Use the values in the ratio table to write coordinate pairs for the points on the graph.
D. Use the equivalent ratio in lowest terms to plot the numerator on the x-axis and the denominator on the y-axis, then connect the two points
C. Use the values in the ratio table to write coordinate pairs for the points on the graph.
What did Frederick Jackson turner think was essential for American democracy?
A: territorial expansion
B: for it to be perfected home
C: direct election of senators
D: none of the above
Answer:
A, territorial expansion
Explanation: these answers are correct
Which does not describe a force pair?
An automobile manufacturer claims that their jeep has a 55.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test
the MPG for this jeep. After testing 220 jeeps they found a mean MPG of 55.9. Assume the variance is known to be 4.41. Is there sufficient evidence
at the 0.02 level that the jeeps outperform the manufacturer's MPG rating?
Step 2 of 5: Enter the value of the z test statistic.
The value of the z-test statistic is 1. There is not sufficient evidence at the 0.02 level that the jeeps outperform the manufacturer's MPG rating.
To determine whether there is sufficient evidence at the 0.02 level that the jeeps outperform the manufacturer's MPG rating, we need to perform a hypothesis test.
In this case, our null hypothesis is that the jeeps do not outperform the manufacturer's MPG rating, and our alternative hypothesis is that the jeeps do outperform the manufacturer's MPG rating. We can use a one-sample z-test to test this hypothesis.
To perform the z-test, we need to calculate the z-test statistic, which is given by the following formula:
z = (mean - population mean) / (standard deviation/√ (sample size))
In this case, the sample mean is 55.9, the population means is 55.8, the standard deviation is 2.09, and the sample size is 220. Plugging these values into the formula above, we get:
z = (55.9 - 55.8) / (2.09 / √(220))
z = 0.05 / 0.05
z = 1
Therefore, the value of the z-test statistic is 1.
Next, we need to find the critical value for the z-test at the 0.02 level. We can use a z-table or a z-score calculator to find the critical value. For a one-tailed test at the 0.02 level, the critical value is 2.33.
Since the z-test statistic is less than the critical value, we cannot reject the null hypothesis at the 0.02 level. Therefore, there is not sufficient evidence at the 0.02 level that the jeeps outperform the manufacturer's MPG rating.
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Here are summary statistics for randomly selected weights of newborn girls: n=167, x=26.2 hg, s=6.8 hg. Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 24.6 hg<μ<28.4 hg with only 14 sample values, x=26.5 hg, and s=2.3 hg?
The confidence interval of the mean is 24.845 < μ < 27.555
The results are not very different
What is confidence interval?Confidence interval is the range of values for which which is expected to have the values at a certain percentage of the times.
How to construct a 99% confidence intervalGiven data form the question
99% confidence interval
167 randomly selected students
mean sample = 26.2
Standard deviation = 6.8
Definition of variables
confidence level, CL = 99%
mean sample, μ = 26.2
standard deviation, SD = 6.8
sample size, n = 167
since it random variable: t - distribution
degree of freedom = 167 - 1 = 166
significance level, α = 1 – confidence level = 1 - 0.99 = 0.01
from t table: t score for 0.01 significance level and 166 degree of freedom = 2.606The formula for the confidence interval is given by
CI = μ ± t ( SD / √n )
plugging the values
CI = 26.2 ± 2.606 ( 6.8 / √167 )
= 26.2 - 2.606 ( 6.8 / √167 ) OR 26.2 + 2.606 ( 6.8 / √167 )
= 24.828 OR 27.571
The confidence interval is 24.828 < μ < 27.571
from the confidence interval 24.6 hg < μ < 28.4 hg
n = 14 sample
μ = 26.5 hg
SD =2.3 hg
26.5 - 24.6 = 28.4 - 26.5 = 1.9
1.9 = t * SD / √n
t = 1.9 * √14 / 2.3 = 3.091
from the t distribution table 3.091 = 0.002 significance level
1 - 0.002 = 0.998
This results to 99% confidence level
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write an article about how strategies novartise can use to grow from billion dollar company to a trillion dollar company like alphabet inc ( 1500 words)
Novartis is a leading pharmaceutical company that has been in operation for over two decades. The firm has achieved remarkable success over the years, and its success has been attributed to its strategic planning. In this article, we will discuss the strategies that Novartis can use to grow from a billion-dollar company to a trillion-dollar company like Alphabet Inc.
The first strategy that Novartis can use is to focus on research and development. The pharmaceutical industry is constantly evolving, and companies that fail to invest in research and development are likely to be left behind. Novartis can invest heavily in research and development to come up with new drugs that can cure various diseases. The company can also collaborate with other companies and universities to come up with groundbreaking innovations.
Another strategy that Novartis can use to grow is through strategic partnerships. The company can collaborate with other firms to expand its market share and access new markets. For instance, Novartis can partner with technology companies to develop new technologies that can be used in the healthcare industry.
Moreover, Novartis can focus on expanding its product line to cater to the diverse needs of its customers. The company can develop drugs for different diseases and conditions, thereby increasing its market share. Additionally, the firm can expand its business operations to other regions to tap into new markets.
Lastly, Novartis can use digital technologies to streamline its operations and enhance efficiency. For instance, the company can use artificial intelligence and machine learning to improve its drug development process. The company can also use data analytics to gain insights into customer needs and preferences.
In conclusion, Novartis can use various strategies to grow from a billion-dollar company to a trillion-dollar company like Alphabet Inc. These strategies include investing in research and development, strategic partnerships, expanding product line, and using digital technologies. By adopting these strategies, Novartis can position itself as a leader in the pharmaceutical industry.
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