The firm's profit margin is 7.11%.
Given data:
Asset Turnover (ATO) = 1.9
Return on Assets (ROA) = 13.5%
Assets (A) = $8,940,000
The formula of Return on assets (ROA) is:
ROA = Net Income / Total Assets
OR ROA = Profit Margin × Asset Turnover
OR Profit Margin = ROA / Asset Turnover
Profit Margin = ROA / Asset Turnover=
13.5% / 1.9= 0.0711 or 7.11%.
Therefore, the company's profit margin is 7.11%.
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What is the slope of the line whose equation is 5x+2y=10 ? −25negative 2 fifths 252 fifths −52negative 5 halves 52
Answer:
- 5/2
Step-by-step explanation:
it is a negative fraction the numbers in it is not negative numbers tho just to clear it up
Which issue is among those addressed by Articles VII–VIII?
constitutional amendments
elections
separation of powers
taxation
Answer:
C
Step-by-step explanation:
Answer:
c <3
Step-by-step explanation:
have a blessed day <3
if you roll a two fair 6 sided dice the sum is 4 and higher
The probability that the sum is 4 or higher is 11/12.
What is the probability?Probability in mathematics is the possibility of an event in time. In simple words, how many times does that incident is happening in any given time interval.
Given:
You rolled two fair 6 sided dice.
The total number of outcomes = 6 x 6 = 36.
The sample space that does not satisfy the condition,
S = {1 + 1, 1 + 2, 2 + 1}
The possible outcomes = 36 - 3 = 33
The probability that the sum is 4 or higher,
= 33/36
= 11/12
Therefore, 11/12 is the probability.
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Can you help me with this
Step-by-step explanation:
to find the equation of any line we have to first find the slope. the slope formula is:
\( \frac{y2 - y1}{x2 - x1} \)
our slope here would be 8/13
now we input the points in the equation
y = mx + b
then we find b to be -3(7/13)
so the final equation would be:
\(y = \frac{8x}{13} - 3( \frac{7}{13} )\)
Given that f(x)=(1)/(x) deteine an expression in tes of x and h that represents the average rate of change of f over any interval of length h. [That is, over any interval (x,x+h).] Simplify your answer as much as possible.
The expression in terms of x and h that represents the average rate of change of f over any interval of length h (that is, over any interval (x, x+h)) is -1/[x(x+h)].
Given that f(x) = 1/x, the expression in terms of x and h that represents the average rate of change of f over any interval of length h (that is, over any interval (x, x+h)) is as follows :
Average rate of change of f over any interval of length h (x, x+h) = (f(x+h) - f(x))/h. We know that f(x) = 1/x Therefore, we can substitute f(x+h) and f(x) in terms of x and h, which gives us: Average rate of change of f over any interval of length h (x, x+h) = [1/(x+h) - 1/x]/h
Multiplying the numerator and denominator by x(x+h), we can simplify the expression as follows: Average rate of change of f over any interval of length h (x, x+h) = [x - (x+h)]/[x(x+h)h]= [-h]/[x(x+h)h]
Simplifying further, we get : Average rate of change of f over any interval of length h (x, x+h) = -1/[x(x+h)]
Therefore, the expression in terms of x and h that represents the average rate of change of f over any interval of length h (that is, over any interval (x, x+h)) is -1/[x(x+h)].
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b = 21 feet h = 16 feet Find the area of the triangle. 168 sq. feet 85 sq. feet 100 sq. feet 108 sq. feet
Answer:
168 sq
Np also you could've just searched it up
In a map, 8 cm represent 2km. Write the scale of the map.
Answer:
1:25000
Step-by-step explanation:
2km =2000m =200000cm
200000/8=25000
If there are 20 girls and 10 boys in a class, the ratio of boys to girls is calculated as:_____.
Answer: 1:2 or 1/2 or 1 to 2
Step-by-step explanation:
Boys=10
Girls= 20
Boys:Girls::10:20::1:2
Find the area of the figure and choose the appropriate result.
1 m
3.5 m
8 m
Answer:
Area if figure = 22 m²
Step-by-step explanation:
Given:
Length of rectangle = 8 m
Width of rectangle = 1 m
Base of triangle = 8 m
Height of triangle = 3.5 m
Find:
Area if figure
Computation:
Area if figure = Area of rectangle + Area of triangle
Area if figure = [l x b] + [(1/2)(b)(h)]
Area if figure = [8 x 1] + [(1/2)(8)(3.5)]
Area if figure = 8 + 14
Area if figure = 22 m²
9. Byron wants to use the distributive property to rewrite the addition problem below
(48 + 36)
Select ALL expressions that are equivalent to the addition problem?
A. 4(12 +9)
B. 2(24 + 18)
C. 12(4 + 3)
D. 36(12 th1)
the dual bar chart below shows how a group of 190 students travel to school. given that 50 students, said they travel to school by car complete the table below
The image of the bar chart is missing and so i have attached it.
Answer:
Bus = 75
Cycle = 20
Walk = 45
Step-by-step explanation:
We are told that 50 students said they travel to school by car.
However, in the bar chart, we see that we have a portion for boys and girls
Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.
Thus, to find the value of a unit since number of people that took cars is 50, we have;
(6x + 4x)/2 = 50
Where x is the value of one unit. Thus;
10x/2 = 50
5x = 50
x = 50/5
x = 10
Thus, a unit is 10
Under bus;
Boys have 7 units while girls have 8 units.
Thus;
Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75
Under cycle;
Boys have 1 unit while girls have 3 units.
Thus;
Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20
Under walk;
Boys have 5 units while girls have 4 units.
Thus;
Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45
Use the following study to answer the next four questions:
A company recently made a simple random sample of size n = 100 from all families in North Dakota. They found that 64% of the families in the sample eat dinner in front of a TV.
Question 2
1/1 pts
What is the population?
64% of the families eat in front of the TV
The people of North Dakota
The 100 families polled
The percentage of North Dakota families that eat dinner in front of the TV
Question 3
0/1 pts
What is the population parameter?
64% of the families eat in front of the TV
The people of North Dakota
The 100 families polled
The percentage of North Dakota families that eat dinner in front of the TV
The percentage of North Dakota families that eat dinner in front of the TV is the population parameter since it characterizes the behavior of the entire population.
The percentage of North Dakota families that eat dinner in front of the TV
Population is the complete set of individuals or items that you are concerned about.
It consists of all the members who meet a particular criterion, such as all North Dakotans.
Furthermore, in this scenario, the company made a simple random sample of size n = 100 from all families in North Dakota.
Therefore, the population of interest is the people of North Dakota.
On the other hand, the population parameter is a numerical measure that characterizes a particular aspect of the population.
"64% of families eat in front of the TV" is a statistic or percentage, not a population per se.
If the question specifically refers to all people in North Dakota, "North Dakota people" could be a population group.
"100 Families Surveyed" represents a sample that is a subset of the population, not the population as a whole.
"Percentage of North Dakota Families Eating Dinner in Front of the TV" represents a statistic or percentage. Not a population parameter.
Therefore, none of them directly represent the population itself or the population parameters, based on the choices given.
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for the 2015 general social survey, a comparison of females and males on the number of hours a day that the subject watched tv gave the following results.
After a comparison of females and males on the number of hours of a day that the subject watched the TV.
The hypotheses of a significance test to analyze whether the population means differ for females and males would be as follows:
(a) H0: μ1 = μ2 (the population means are equal for females and males)
Ha: μ1 ≠ μ2 (the population means are not equal for females and males)
(b) In order to conduct the significance test, we would need to calculate the t-statistic and the P-value. However, the question does not provide the necessary information to do so (e.g. sample means, standard deviations, sample sizes). Without this information, we cannot conduct the significance test and interpret the P-value(c) Without conducting the significance test, we cannot conclude anything about whether there is a gender difference in TV watching.
(d) Similarly, without conducting the significance test and calculating the confidence interval, we cannot determine whether the confidence interval would contain 0 or not.
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Please help me with this. Show the solution as well. Thank you
Step-by-step explanation:
any ordered pair is a solution, if we can use its coordinates in the equation, and the equation stays true.
for x - 3y = 6
1. (3, -1)
3 - 3×-1 = 6
3 + 3 = 6
6 = 6
true, this is a solution.
2. (0, 2)
0 - 3×2 = 6
-6 = 6
false, this is not a solution.
3. (3, 1)
3 - 3×1 = 6
3 - 3 = 6
0 = 6
false, this is not a solution.
Please help me with this it's an emergency (a²=4+12)
Answer:
a=4,-4
Step-by-step explanation:
find the surface area of the square pyramid
1. 26 ft²
2. 36 ft²
3.40 ft²
4. 56 ft²
Answer:
4. 56 ft²
Step-by-step explanation:
SA = (4×4)+(4×½×4×5)
= 16+40
= 56
what is the property that you used to get the answer for 27+29+31 What property did you use?
Commutative property of addition is the property that we used to get the answer for 27+29+31 = 87.
What is the Commutative property?The commutative property of addition says that changing the order of addends does not change the sum. As the first civilization to study fractions, the Egyptians used fractions to address a variety of mathematical problems, including the division of food and supplies and the absence of a bullion currency.
A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).
In the properties used for this question use the properties of the Commutative property of addition
If counted then the final result
31 + 27 + 29
= (30 +1) + (30 - 3) + (30 - 1)
= 3(30) + 1 - 3 - 1
= 90 - 3
= 87
Hence, 27+29+31 = 87
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A valid study Group of answer choices uses random sampling. results in a causal relationship between the independent and dependent variables. portrays the population being studied. measures what it is supposed to. verifies expected results.
A valid study is one that portrays the population being studied and measures what it is supposed to. It must use random sampling and produce expected results to be deemed a reliable source. However, such studies do not necessarily result in a causal relationship between the independent and dependent variables.
The primary goal of any study is to depict the population being investigated in an accurate and unbiased manner. This involves selecting an appropriate sample of the population to study. This is why a study must use random sampling, which means every member of the population has an equal chance of being selected. This helps avoid sample bias, which is when a sample is chosen in a way that it is not representative of the population, leading to incorrect or inaccurate conclusions.
A valid study must measure what it is supposed to, which means that the study should be designed to measure what it claims to measure. For instance, a study on the effects of sleep on memory should use measures that accurately assess memory and sleep. If the study is designed to assess memory but fails to do so, the results will be unreliable. Finally, a valid study verifies expected results.
This means that the study should produce results that are consistent with what is expected based on prior research or theory. However, this does not mean that a study necessarily results in a causal relationship between the independent and dependent variables. Rather, such a relationship can only be inferred if the study is well-designed and the results are properly analyzed and interpreted.
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Look at this set of ordered pairs:
(20, 12)
(3, 17)
(3, 2)
(18, 7)
Is this relation a function?
Answer:
No
Step-by-step explanation:
No, because it has repeating domains (x-values)
Hope this helps!
Refer to ®F .
If DA = 7.4 centimeters, what is EF ?
If DA = 7.4 centimeters, then the radius of the circle EF is 3.7 inches.
What is meant by the radius of a circle?A radius of a circle or sphere is any of the line segments from its center to its perimeter in classical geometry, and in more modern usage, it is also their length. The name is derived from the Latin radius, which means both ray and spoke of a chariot wheel.
The radius of a circle is the distance between the circle's center and any point on its circumference. It is usually represented by the letters 'R' or 'r'. This number is significant in almost all circle-related formulas. A circle's area and circumference are also measured in terms of radius.
Here, DA is a diameter and EF is the radius.
Radius of a circle = 1/2 diameter
Where, d = 7.4
Radius of a circle, r = 1/2 d
Radius of a circle = 1/2(7.4)
Radius of a circle = 3.7
Therefore, the radius of the circle is 3.7 inches.
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Find the total surface area in square units of the figure below by creating a net.
Enter the correct answer in the box.
What is the standard form of function ??
f(x) = 4(x + 6)² + 5
The standard form of function f(x) = 4(x + 6)² + 5 can be written as:
\(\rightarrow f(\text{x})=4\text{x}^2+48\text{x}+149\)What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic function is given below.
\(f(\text{x}) = 4(\text{x} + 6)^2+ 5\)
Convert the equation into a standard form. Then we have
\(\rightarrow f(\text{x}) = 4(\text{x} + 6)^2+ 5\)
\(\rightarrow f(\text{x}) = 4(\text{x}^2 + 12\text{x} + 36)+ 5\)
\(\rightarrow f(\text{x})=4\text{x}^2+48\text{x}+144+5\)
\(\rightarrow\bold{f(x)=4x^2+48x+149}\)
Thus, the standard form of function f(x) = 4(x + 6)² + 5 is written by f(x) = 4x² + 48x + 149.
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Given the number 47,135,280, what is the place value of the number 3
Answer:
ten thousand
Step-by-step explanation:
Answer:
3 would be ten thousand
Step-by-step explanation:
in words it would be thirty five thousand and two hundred eighty.
the number 3 would be in the tenth thousand because its the 2nd one in the thousands. It’s the 10th thousands thats why.
Consider the proof.
Given: Segment AB is parallel to line DE.
Prove:StartFraction A D Over D C EndFraction = StartFraction B E Over E C EndFraction
Triangle A B C is cut by line D E. Line D E goes through side A C and side B C. Lines A B and D E are parallel. Angle B A C is 1, angle A B C is 2, angle E D C is 3, and angle D E C is 4.
A table showing statements and reasons for the proof is shown.
What is the missing statement in Step 5?
AC = BC
StartFraction A C Over D C EndFraction = StartFraction B C Over E C EndFraction
AD = BE
StartFraction A D Over D C EndFraction = StartFraction B E Over E C EndFraction
The missing statement in Step 5 include the following: B. AC/DC = BC/EC.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Based on the angle, angle (AA) similarity theorem, we can logically deduce the following congruent triangles:
ΔABC ≅ ΔDEC ⇒ Step 4
By the definition of similar triangles, we can logically deduce the following proportional and corresponding side lengths:
AC/DC = BC/EC ⇒ Step 5
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The graph below shows the cost of college tuition per credit hour at a local community college.
(graph in image)
Write the equation in slope-intercept form for the cost of college tuition in terms of the number of credits. Then, complete the table of values for the function.
y = __x + __
How much money, y, will it cost to take 12 college credits, x?
It will cost $___.
Answer:
y = 350x + 225
It will cost $4425 for 12 credits
Step-by-step explanation:
From the two points shown in the graph, we can write the equation of the line.
(5, 1975), (8, 3025)
slope = m = (y_2 - y_1)/(x_2 - x_1) = (3025 - 1975)/(8 - 5) = 1050/3 = 350
y = mx + b
y = 350x + b
1975 = 350 × 5 + b
b = 225
The equation is
y = 350x + 225
For 12 credits, x = 12.
y = 350 × 12 + 225
y = 4425
Answer: It will cost $4425 for 12 credits
a markdown greater then 99% but less then 100%
Answer:
99.5%
Step-by-step explanation:
It is because 99.5% is in the middle of 99% and 100%
Help asap!! [Worth 20 points]
Which graph shows the solution to the system of linear equations?
y equals negative one fourth times x plus 1
y = −2x − 1
ACTUALLY ANSWER FULLY OR U WIL BE REPORTED Help pls I do need it
Answer:
125 people
Step-by-step explanation:
P( green) = number of green / total
= 25/120
=5/24
Multiply this probability by 600
5/24 * 600 =125
Answer:
out of 120 people 25 people has chosen green
out of 1 people green will be chosen by 25/120 people
out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people
In the following set of numbers (18, 26, 29, 18, 44) what is the median?
A) 26
B) 27
C) 18
D) 24
The median of the following set of numbers (18, 26, 29, 18, 44) is 26. The correct option to this question is option A
To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order
18 , 18 , 26 , 29 , 44 . . . . . . . . . .(1)
Since the number of terms is odd we will apply the formula
Median = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)
Here n = number of terms
As per question the n = 5
Therefore putting in equation 2 we get
Median = \(\frac{(5+1)}{2} th\) term
Median = \(\frac{6}{2} th \\\) term
Median = 3 term
Hence the third term from the sequence ( shown in 1 ) we get the median that is 26
Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .
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The median is:
26
Explanation:
First, we will arrange the numbers from least to greatest.
18, 26, 29, 18, 44
Rearrange
18, 18, 26, 29, 44.
Now, the median is the number in the middle, which is 26.
∴ Median = 26Aki is a participant on a trivia-based game show. He has an equal likelihood on any given trial of being Asked a question from one of six categories: Hollywood, Strange Places, Number Fun, Who?, Having a Ball, and Write On! Aki feels that he has a 50/50 chance of getting Having a Ball or Strange Places questions correct, but thinks he has a 90% probability of getting any of the other questions right. If Aki has to get two of three questions correct, what are his odds of winning?
Odds are used to determine the chances of winning an experiment.
The odds of winning two of the three question is: \(\mathbf{0.8634}\)
The given parameter is:
\(\mathbf{Games = 6}\)
The probability of winning "having a ball or strange places" is:
\(\mathbf{p_1 = \frac 12}\)
\(\mathbf{G_1 = 2}\) ---- i.e. 2 games
The probability of winning the other 4 is:
\(\mathbf{p_2 = 90\%}\)
\(\mathbf{G_2 = 4}\) ---- i.e. the other 4
So, the probability of getting a question is:
\(\mathbf{Pr= p_1 \times \frac{G_1}{Games} + p_2 \times \frac{G_2}{Games} }\)
So, we have:
\(\mathbf{Pr= \frac 12 \times \frac{2}{6} + 90\% \times \frac{4}{6} }\)
\(\mathbf{Pr= 0.1667 + 0.6 }\)
\(\mathbf{Pr= 7667 }\)
The odds of winning, is the probability of winning at least two of the three questions.
So, we have:
\(\mathbf{Odds = P(Win\ 3) + P(Win\ 2)}\)
Using binomial theorem, we have:
\(\mathbf{Odds = ^3C_3 \times 0.7667^3 \times (1 - 0.766)^0+ ^3C_2 \times 0.7667^2 \times (1 - 0.766)^1}\)
\(\mathbf{Odds = 1 \times 0.7667^3 \times 1+ 3 \times 0.7667^2 \times 0.234}\)
\(\mathbf{Odds = 0.4507+ 0.4127}\)
\(\mathbf{Odds = 0.8634}\)
Hence, the odds of winning two of the three question is: \(\mathbf{0.8634}\)
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