Step-by-step explanation:
The trick here is finding the scale used in the plotting. From the question, we can find two hints;
- Number of cat = 40. Since it has an equal scale for both men and women. It means the 40 / 2 = 20 (20 men and 20 women) has cat as their favorite pet.
- Since we know that the number of men is 20, we have to find what individual box represents. There are 4 boxes, this means each box would have a value of 20 / 4 = 5
Dog
For men, there are basically 5 lines (or boxes, if you prefer). This means 5 * 5 = 25
For women, there are basically 6 lines (or boxes, if you prefer). This means 6 * 5 = 30
Total frequency = 30 + 25 = 55
Hamster
For men, there are basically 3 lines (or boxes, if you prefer). This means 3 * 5 = 15
For women, there is basically 1 line (or box, if you prefer). This means 1 * 5 = 5
Total frequency = 15 + 5 = 20
Other
For men, there are basically 2 lines (or boxes, if you prefer). This means 2 * 5 = 10
For women, there are basically 3 lines (or boxes, if you prefer). This means 3 * 5 = 15
Total frequency = 10 + 15 = 25
A language arts test is worth 100 points. There is a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question are there?
Answer: 3.8 should be your answer hope this helped
Step-by-step explanation:
pleas make brainly
Solve the inequality by using a table or graph.
x2 − 6x + 8 > 35
x < 3 or x > 9
−3 < x < 9
−9 < x < 3
x < −3 or x > 9
a survey of 1455 people revealed that 53% work a full-time job; therefore it can be assumed that 53% of the u.s. population works a full-time job.
The statement cannot be assumed to be true based solely on a survey of 1455 people.
While the survey results indicate that 53% of the surveyed population works a full-time job, it is not sufficient evidence to make assumptions about the entire U.S. population. A survey sample size of 1455 people may not accurately represent the diversity and demographics of the entire U.S. population, which consists of millions of individuals.
To make a valid assumption about the entire U.S. population, a more comprehensive and representative survey or data collection method would be required. This could involve surveying a much larger and more diverse sample size or gathering data from reliable sources such as government statistics or labor market reports.
Making assumptions about the entire population based on a small survey sample can lead to inaccurate conclusions and generalizations. The U.S. population is complex and dynamic, with variations in employment patterns, demographics, and other factors that cannot be fully captured by a limited survey sample.
Therefore, while the survey results provide insights into the surveyed population, it is not appropriate to assume that the same percentage of the entire U.S. population works a full-time job based solely on this survey.
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In the equation x² + 10x + 24 = (x + a)(x+b), bis
an integer. Find algebraically all possible values of
b.
Answer:
The answer is 6...Hope this might help you
let’s say you have a numerical data set with 15 entries. how much will the mean increase if you increase one entry by 60?
Answer:
4
Step-by-step explanation:
Let the sum of the numbers of the set be x.
The mean of the set will be \(\frac{x}{15}\).
If one entry is increased by 60, that means the new sum of the numbers of the set will be x + 60. Therefore, the new mean will be \(\frac{x+60}{15}\).
We can rewrite \(\frac{x+60}{15}\) as \(\frac{x}{15}\) + \(\frac{60}{15}\) = \(\frac{x}{15}\) + 4.
So:
Original mean = \(\frac{x}{15}\)
New mean = \(\frac{x}{15}\) + 4
As you can see, the new mean is 4 more than the original mean.
A basketball game is 45 minutes long. 20 minutes have already been played. write an equation that represents how many minutes m are remaining. DO NOT SOLVE
Answer:
45-20 = 25
Step-by-step explanation:
Naomi used a rectangle, a square, and a right triangle to form the following figure.
What is the area of the shaded region of the figure in
eters?
A-120 cm2
B-102 cm2
C-18 cm2
D-9 cm2
Answer:
B. 102 cm
Step-by-step explanation:
The first step would be to find the area of the whole figure and subtract the white area off.
So, to do that simply multiply the length x width to get the area of the whole figure.
20 x 6 = 120(area of the whole figure)
Next, 20-11 = 9 is the length of the figure and because the square has a side length of 3, the other side would also have to be 3.
3 x 3 = 9(area of the smaller square.
9-3=6
6-3=3
Area of triangle = Base x Height Divided by 2.
So, 3x6=18/2=9
9+9=18
Finally, subtract 18(total area of white smaller shapes) from 120 and you will get the final answer
102 cm.
Name each level of measurement for which data can be qualitative.
Select all the levels of measurement for which data can be qualitative.
A. Nominal Your answer is correct.
B. Ratio
C. Interval
D. Ordinal
Answer:
qualitative and ordinal.
Step-by-step explanation:
They are both two types of qualitative data under Categorical data.
Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.
What is level of measurement?A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.
This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.
Therefore, the correct option is option A, D.
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help me with this answer please !
Answer:
pick number 3 I think that's the one
what is a light rail system? group of answer choices a smaller rail system powered by electricity a traditional railway buses that run on rails a train with a single passenger car
A light rail system can be described as a smaller rail-based transportation system that is powered by electricity, providing efficient and sustainable urban transit options for passengers.
A light rail system refers to a smaller rail-based transportation system that operates within urban or suburban areas. It typically consists of light rail vehicles (LRVs) that run on tracks, similar to a traditional railway system. However, light rail systems are designed to serve shorter distances and provide more frequent stops compared to heavy rail systems.
One distinguishing characteristic of a light rail system is that it is powered by electricity. The LRVs usually run on overhead electrical wires or through an electrified third rail system. This electric power source allows for a more sustainable and environmentally-friendly mode of transportation.
Light rail systems are often integrated into the existing urban infrastructure and provide convenient and efficient transportation options for commuters. They offer a balance between the capacity of traditional heavy rail systems and the flexibility of buses. Light rail vehicles can accommodate a significant number of passengers and operate on fixed routes, offering a reliable and comfortable mode of public transportation.
Overall, a light rail system can be described as a smaller rail-based transportation system that is powered by electricity, providing efficient and sustainable urban transit options for passengers.
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How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square? 1 6 8 9
Answer:
easy
Step-by-step explanation:
8
Answer:
its 8
Step-by-step explanation:
Simplify to create an equivalent expression.
{2(-14+r)-(-3r-5)}2(−14+r)−(−3r−5)
Answer:
hope this helps
-183r+10r^2+649
Answer:
-183r+10r^2+649
Step-by-step explanation:
Evaluate the given integral by changing to polar coordinates. S[ sx?y da, where D is the top half of the disk with center the origin and radius 5. Submit Answer
The value of the given integral, evaluated by changing to polar coordinates, is (25/3)π.
To evaluate the integral using polar coordinates, we need to express the integrand and the region of integration in terms of polar variables. In this case, we have the region D, which is the top half of the disk with center at the origin and radius 5. In polar coordinates, this can be expressed as 0 ≤ r ≤ 5 and 0 ≤ θ ≤ π.
The integrand is sx² + y², which can be written in terms of polar coordinates as sr² cos²θ + sr² sin²θ. Simplifying, we have sr²(cos²θ + sin²θ), which reduces to sr².
Now, we can set up the integral in polar coordinates: ∫∫D sr² dA, where dA represents the differential area element in polar coordinates.
Using the limits of integration, the integral becomes ∫₀^π ∫₀^5 sr² r dr dθ.
Solving the inner integral with respect to r, we get ∫₀^5 r³s dr dθ. Integrating this with respect to s, we have [(r⁴s)/4] from 0 to 5, resulting in (5⁴s)/4.
Finally, evaluating the outer integral with respect to θ from 0 to π, we have ∫₀^π (5⁴s)/4 dθ = (25/3)π.
Therefore, the value of the given integral, when changing to polar coordinates, is (25/3)π.
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Rate data often follow a lognormal distribution Average power usage (dB per hour) for a particular company is studied and is known to have a lognormal distribution with parameters 4 and ơ-2. what is the mean power usage (average db per hour)? what is the variance?
Therefore, the variance of the lognormal distribution for this company is approximately 322196.29 (dB/hour)^2.
To find the mean power usage (average dB per hour) for a lognormal distribution with parameters 4 and ơ-2, we use the formula:
\(Mean = e^{u+ o^{2/2}}\\=e^{u+o}\)
where μ is the mean of the logarithm of the data (in this case, μ = 4) and σ is the standard deviation of the logarithm of the data (in this case, σ = -2).
Substituting the values, we get:
Mean = \(e^{(4 + (-2)^{2/2}}
= e^{(4 + 2)}
= e^6\)
≈ 403.43 dB/hour
Therefore, the mean power usage for this company is approximately 403.43 dB per hour.
To find the variance of the lognormal distribution, we use the formula:
\(Variance = (e^{o^2} - 1) * e^{2u + o^2}\)
Substituting the values, we get:
\(Variance = (e^(-2) - 1) * e^(2*4 + (-2)^2)\\ = (1/e^2 - 1) * e^(8 + 4)\\ = (1/7.389 - 1) * e^{1/2}\\ = 322196.29\)
Therefore, the variance of the lognormal distribution for this company is approximately 322196.29 (dB/hour)^2.
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Let u(x₁, x₂) = x1 + x2 and ũ(x₁, x2) = x1x2 Show they represent different preferences.
If x₁ = 5 and x₂ = 2, the utility will be different than if x₁ = 3 and x₂ = 4.
What is Equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
To determine whether the utility functions u(x₁, x₂) = x₁ + x₂ and ũ(x₁, x₂) = x₁x₂ represent different preferences, we can compare their properties.
Monotonicity:
The utility function u(x₁, x₂) = x₁ + x₂ is monotonically increasing. This means that if more of each good is consumed, the utility will increase. For example, if x₁ increases and x₂ remains constant, the total utility will increase.
On the other hand, the utility function ũ(x₁, x₂) = x₁x₂ is not strictly monotonically increasing. If both x₁ and x₂ increase, the utility will increase only if the increase in one good is greater than the decrease in the other good.
Substitutability:
The utility function u(x₁, x₂) = x₁ + x₂ exhibits perfect substitutability between the goods. This means that the utility is solely determined by the total amount of goods consumed, regardless of how they are allocated between x₁ and x₂. For example, if x₁ = 5 and x₂ = 2, the utility will be the same as if x₁ = 3 and x₂ = 4.
In contrast, the utility function ũ(x₁, x₂) = x₁x₂ does not exhibit perfect substitutability. The utility depends not only on the total quantity consumed but also on how the goods are allocated between x₁ and x₂. For example, if x₁ = 5 and x₂ = 2, the utility will be different than if x₁ = 3 and x₂ = 4.
Based on these properties, we can conclude that the utility functions u(x₁, x₂) = x₁ + x₂ and ũ(x₁, x₂) = x₁x₂ represent different preferences. The first utility function represents preferences where the consumer values both goods independently and exhibits perfect substitutability.
The second utility function represents preferences where the consumer values the interaction or complementarity between the goods, and the allocation between x₁ and x₂ matters for determining utility.
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In a data set with a, b, c, d, e, and f numeric variables, given there are strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as:
Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e
Given two predictor variables with correlation at 0.32879, we should expect there is multicollinearity between them.
Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.
In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as
Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.
Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.
The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:
we should expect there to be multicollinearity between them.
Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.
Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.
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f(x) = x² - 2x + 3
f(x) = −5x + 1
A letter is selected at random from the alphabet. What is the probability it is NOT a vowel? I think its 1/25 am I correct?
Answer:
Is it not 21/26?
Step-by-step explanation:
26 letters in the Alphabet
5 vowels
26-5=21
21 chances out of 26 to not get a vowel
I'm not really positive on my answer either, I'm sorry if it's wrong.
PLEASE ANSWER QUICKLY
Write an equation in standard form for each parabola. A parabola with a vertex of (8,6) and a focus of (6,6).
A. (y-6)^2 = -8 (x-6)
B. (x-6)^2 = 8 (y-6)
C. (y-6)^2 = -4 (x-6)
D. (y-6)^2 = 8 (x-6)
E. (x-6)^2 = -8 (y-6)
F. (y-6)^2 = 4 (x-6)
ansewr: the ansewr is b
explanation: did it
A torch and a battery cost £2.50 altogether.
The torch costs £2.00 more than the battery.
What fraction of the total price is the battery's price?
Give your answer in its simplest form.
Answer:
1/10
Step-by-step explanation:
2.50-2=0.5
0.5/2=0.25
0.25+2=2.25
2.5-2.25=0.25
0.25/2.5= 0.1
0.1 = 1/10
11. Mr. Qu ate 8 dumplings on Monday and 20 dumplings on Tuesday.
a) Find the percent increase in the number of dumplings from Monday to Tuesday.
What’s the answer
Answer:
250%
Step-by-step explanation:
I can't understand. Please help
Answer:
Step-by-step explanation:
i.
(10y+x) - (10x+y) = 63 ---> This subtracts the original from the number with the reversed digits, and makes it equal to 63, so the number increases by 63
y - x = 7 ---> We have to prove this is true, so put it into the original equation
y = 7 + x ---> manipulate the above equation, and substitute it into the original equation
[10 (7 + x) + x] - [10x + (7 + x)] = 63
(70 + 11x) - (11x + 7) = 63
63 = 63 ---> Solve the equation, and because it comes out to be true, you proved that y - x = 7
ii. a.
(10x + y) + (10y + x) = 99 ---> The sum of the original and reversed numbers
x + y = 9
y = 9 - x ---> substitute this into the original equation
[10x + (9 - x)] + [10 (9 - x) + x] = 99
(9x + 9) + (90 - 9x) = 99
99 = 99
ii. b.
infinitely many solutions
Chocolate sprinkles cost as much per pound as sugar. Find 1/10 the baker’s total cost for 100 pounds of chocolate sprinkles.
To find 1/10 of the baker's total cost for 100 pounds of chocolate sprinkles, we need information about the cost per pound of chocolate sprinkles and sugar. The answer would depend on the specific cost per pound provided in the problem.
Without this information, it is not possible to determine the specific value of 1/10 of the total cost.
To calculate 1/10 of the baker's total cost for 100 pounds of chocolate sprinkles, we need to know the cost per pound of chocolate sprinkles and the total cost for 100 pounds. Let's assume the cost per pound of chocolate sprinkles is C dollars.
The total cost for 100 pounds of chocolate sprinkles would then be 100 * C dollars. To find 1/10 of this total cost, we can multiply it by 1/10 or divide it by 10.
Therefore, 1/10 of the baker's total cost for 100 pounds of chocolate sprinkles would be (100 * C) / 10 = 10 * C dollars.
However, without knowing the specific cost per pound of chocolate sprinkles, we cannot determine the value of C or calculate the exact amount for 1/10 of the total cost. The answer would depend on the specific cost per pound provided in the problem.
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A motorbike travels 12 miles in 240 minutes at a constant speed. How many minutes will it take for the bike to travel 1 mile?
Answer: 20 minutes
Step-by-step explanation:
if you travel 12 miles in 240 minutes, divide 240 by twelve to find the time for one mile.
Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brainliest…
Answer:
1) y = 13.5x + 12) y = 12x + 43) Sam won the raceStep-by-step explanation:
Part 1Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
The distance after x seconds is:
y = 13.5x + 1Part 2Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
The distance after x seconds is:
y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4Part 3After 15 seconds the distance from the start line is:
Sam ⇒ y = 13.5*15 + 1 = 203.5 ftAlice ⇒ y = 12*15 + 4 = 184 ftAs we see Sam is further from the start line than Alice
A squared garden has area 1764 m². Find its length and perimeter.
Answer:
We know that,
★ Area of Square = ( Side )² ★
Given:
Area of Squared garden is 1764 m².
To Find:
It's Length & Perimeter➛ Side = √1764
➛ Side = 42
Thus, Side of Squared garden is 42cm.We know,
★ Perimeter of Square = 4 × Side ★
Given:
Side is 42 cm.➛ Perimeter = 4 × 42
➛ Perimeter = 168
Thus, Perimeter of Squared garden is 168cm.The critical values z? or z?/2 are the boundary values for the:
A. rejection region(s)
B. level of significance
C. power of the test
D. Type II error
The critical values zα or zα/2 are the boundary values for the rejection region(s). If a test statistic falls outside of these values, it will result in the rejection of the null hypothesis. A critical value is a value that separates the rejection region from the non-rejection region.
Critical values are the values that are used to determine the region of acceptance and rejection in a hypothesis test. If the test statistic falls within the critical values, then the null hypothesis is not rejected, and if the test statistic falls outside the critical values, then the null hypothesis is rejected.In statistics, a hypothesis test is a way to test a claim about a population parameter using sample data. The level of significance, denoted by α, is the probability of making a Type I error, which occurs when a null hypothesis is rejected when it is actually true.
The critical values are determined based on the level of significance and the degrees of freedom of the test. For example, if the level of significance is 0.05, the critical value is 1.96 (zα/2 = 1.96).The critical values zα or zα/2 are the boundary values for the rejection region(s) in a hypothesis test.
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Find the slope of the line passing through the points (-6, 6) and (4, -7).
Answer:
-13/10
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-7-6/4-(-6)
-13/10
Best of Luck!
Solve for n.
(2^4)^2 = 2^n
n = __
Answer:
n=8
Step-by-step explanation:
(2^4)=16
16^2= 256
2^8= 256
I hope this helps!!!
Answer:
\( \\{ \boxed {\sf {n = 8}}}\)
Step-by-step explanation:
\( \\ \sf( {2}^{4} )^{2} = {2}^{n} \)
\( \\ \sf \mapsto {2}^{4 \times 2} = {2}^{n} \)
\( \\ \sf \mapsto {2}^{8} = {2}^{n} \)
\( \\ \sf \mapsto8 = n\)
\( \\ \sf \therefore \: n = 8\)
Solve for x
5x−4≥12 OR 12x+5≤−4
Please help, I'm stuck and I'm not really getting the hang of this yet.
Answer:
No solution
Step-by-step explanation:
5x−4≥12 AND 12x+5≤−4
solve it separately
5x - 4>=12
add 4 on both sides
5x >= 16
Divide both sides by 5
x > = 16/5
12x+5≤−4
subtract 5 from both sides
12x <= -9
divide both sides by 12
x<= -9/12
x<=-9/12 and x>= 16/5
There is no intersection between the inequalities
so there is no solution