Executive Bonuses A random sample of bonuses (in millions of dollars) paid by large companies to their executives is shown. Find the mean and modal class for the data. Class boundaries Frequency 0.5-3.5 3.5-6.5 6.5-9.5 9.5-12.5 12.5-15.5 11 12 4 2 1
Answers
The mean bonus paid by large companies to their executives is $5 million and the modal class is 3.5-6.5.
How to calculate the mean and the modal class for the dataTo find the mean, we need to find the midpoint of each class and multiply it by the frequency, then add up all of these values and divide by the total frequency:
Class boundaries Midpoint Frequency Midpoint x Frequency
0.5-3.5 2 11 22
3.5-6.5 5 12 60
6.5-9.5 8 4 32
9.5-12.5 11 2 22
12.5-15.5 14 1 14
Total 150
Mean = (Midpoint x Frequency) / Total Frequency
Mean = 150 / 30
Mean = 5
Therefore, the mean bonus paid by large companies to their executives is $5 million.
To find the modal class, we need to look for the class with the highest frequency. In this case, the class with the highest frequency is 3.5-6.5, with a frequency of 12. Therefore, the modal class is 3.5-6.5.
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Related Questions
sketch the graph of the given quadratic function. Y=2x²
Answers
To sketch the graph, we can plot some points and connect them with a smooth curve.
First, we can choose some values of x and find the corresponding values of y:
- When x = -2, y = 2(-2)² = 8
- When x = -1, y = 2(-1)² = 2
- When x = 0, y = 2(0)² = 0
- When x = 1, y = 2(1)² = 2
- When x = 2, y = 2(2)² = 8
We can plot these points (-2, 8), (-1, 2), (0, 0), (1, 2), and (2, 8) on a coordinate plane.
The vertex of the parabola is at the origin (0, 0), which is also the minimum point of the parabola.
The graph of the quadratic function y = 2x² is shown below:
![Graph of y = 2x²]
You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 250,823. Its current population is 325,823. By about what percentage has the city grown over the past ten years? Round to the nearest percent.
Answers
Answer:
I just answered it
Step-by-step explanation:
125^2x = 5^4x-4 solve for x
Answers
Answer:
x=-2
Step-by-step explanation:
\(125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2\)
Which can be represented using the product (50) × (-5) ?
O saving $5 each day for 50 days
O a submarine rising by 50 feet each hour for 5 hours
O earning $50 each month for 5 months
O an airplane losing altitude by 5 feet each second for 50 seconds
Answers
Answer: D
Step-by-step explanation:
1
If u(x) =-2x^2+3 and v(x)=1/x, what is the range of (u•v))(x)?
Answers
The range οf u(v(x)) is (-∞,3)
What is range?The range οf a list οr set refers tο the space between the lοwest and highest values. Priοr tο figuring οut the range, arrange the numbers in ascending οrder. The next step is tο deduct the lοwest number frοm the highest. The respοnse includes the list's pοssible range.
u(x) =-2x²+3
v(x)=1/x
Sο, we have:
u(x) =-2x²+3
Substitute v(x) fοr x
u(v(x))=-2(v(x))²+3
Substitute fοr v(x)u(v(x))=
-2(1/x)²+3
οr, u(v(x))= -2/x²+3
οr, u(v(x))= (-2+3x²)/ x²
The fοllοwing οbservatiοns have been made
The graph's maximum is lοcated immediately belοw y = 3.
The graph starts οut belοw.
The range οf the functiοn is: -∞<x<3
Hence the range οf u(v(x)) is (-∞,3)
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Help Please!!! Use the associative property to explain why the following statement is true. Any number that has 9 as a factor also has 3 as a factor.
Answers
Answer:
Step-by-step explanation:
3x3=9
The statement is true that the number that has 9 as a factor also has 3 as a factor.
What is the associative property of addition?Suppose you've got 3 numbers a, b, and c.
Then, we have (a+b) + c = a + (b + c)
This property is called an associative property and it is called because we can associate b with a, or b with c without altering the value of the addition.
We have been given the phrase "Any number that has 9 as a factor also has 3 as a factor"
3 x 3 = 9.
Here using the associative property of multiplication;
a x b = b x a = ab
So, we can see that any number that has 9 as a factor also has 3 as a factor.
18 = 9 x 2
Or 18 = 3 x 3 x 2
Thus, the statement is true that the number that has 9 as a factor also has 3 as a factor.
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Solve for x using the special right triangle
Answers
Answer:
x = 36√2
Step-by-step explanation:
Reference angle = 30°
Side length opposite to 30° = 12√6
Adjacent length = x
Apply TO A to find x.
Tan 30° = Opp/Adj
Tan 30° = 12√6/x
multiply both sides by x
x*Tan 30° = 12√6
Divide both sides by Tan 30°
x = (12√6)/Tan 30°
x = (12√6)/(1/√3) (tan 30° = 1/√3)
x = (12√6) × (√3/1)
x = 12√18
x = 12√(9*2)
x = 12*3√2
x = 36√2
You are planning to evaluate the mean of a single continuous variable from a study with a sample of n = 25 using the t statistic. What are the degrees of freedom for the sample?
Answers
Answer: The degrees of freedom (df) for the sample in a t-test are calculated as df = n - 1, where n is the sample size.
In this case, the sample size is n = 25. Therefore, the degrees of freedom for the sample are:
df = n - 1 = 25 - 1 = 24
So, the degrees of freedom for the sample in this case is 24.
Step-by-step explanation:
28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?
Answers
Answer:
not
Step-by-step explanation:
because negetive plus negative will equal negative and bot positive
if this is multiplication yes it does apply...-1×-1=1
Please help me with this problem:The data shows the number of grams of fat found in 9 different health bars.11, 11.5, 10.5, 17, 14.5, 14.5, 18, 17, 19What is the IQR (interquartile range) for the data? 6.25714.517.5
Answers
The interquartile range = 6.25
Explanation:The given dataset is:
11, 11.5, 10.5, 17, 14.5, 14.5, 18, 17, 19
Rearrange the data in ascending order
10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19
The number of terms in the data, N = 9
The lower quartile is calculated as:
\(\begin{gathered} Q_1=(\frac{N+1}{4})^{th}term \\ \\ Q_1=\frac{9+1}{4}^{th}term \\ \\ Q_1=2.5th\text{ term} \\ \\ Q_1=\frac{11+11.5}{2} \\ \\ Q_1=\frac{22.5}{2} \\ \\ Q_1=11.25 \end{gathered}\)The upper quartile is calculated as:
\(\begin{gathered} Q_3=(\frac{3(N+1)}{4})^{th\text{ }}term \\ \\ Q_3=\frac{3(9+1)}{4}th\text{ terms} \\ \\ Q_3=7.5th\text{ term} \\ \\ Q_3=\frac{17+18}{2} \\ \\ Q_3=17.5 \end{gathered}\)The interquartile range = Upper quartile - Lower quartile
The interquartile range = 17.5 - 11.25
The interquartile range = 6.25
the general solution of the equation cos3x +cos2x =sin3x/2 + Sinx/2 is
Answers
Answer:
I am doiiiiiiinnnnggg just wait
True or False: If the discriminant is less than zero, then the graph will never cross the x-axis.
False
True
Answers
Answer:
True
Step-by-step explanation:
If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots
If the discriminant \(D=b^2-4ac > 0\), then there are two real roots
If the discriminant \(D=b^2-4ac=0\), then there is only one real root
Ages of Students
All students in an after school martial arts class were
asked their age. The dot plot shows the results of the
survey. How many students were surveyed?
А50 students
C 11 students
B16 students
D 7 students
Answers
What is the equation of the line that passes through the point (2,0) and has a slope of 5/2
Answers
y = 5/2x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5/2 , thus
y = 5/2x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = 5 + c ⇒ c = 0 - 5
y = 5/2x - 5 ← equation of line
question in screenshot
Answers
The vertical and horizontal asymptotes for the graphed function are given as follows:
a) The vertical asymptotes are given at x = -1 and x = 2.
b) The horizontal asymptote is given at y = -1.
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, and in the graph, they are represented by vertical dashed lines.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity, and in the graph, they are represented by horizontal dashed lines.In the context of this problem, we have that the asymptotes can be extracted from the graph as follows:
In item a, there are two vertical dashed lines, at x = -1 and x = 2, hence those are the vertical asymptotes of the graphed function.In item b, there is one horizontal dashed line, at y = -1, hence this is the horizontal asymptote of the graphed function.More can be learned about asymptotes at https://brainly.com/question/4138300
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Clasifique si los siguientes conjuntos están en forma por extensión (E) o
Comprensión (C), además si es: finito (F), Infinito (1), nulo (N), unitario (U) y
Conviértalo de forma conjuntista por extensión a comprensión y viceversa. (3
ptos)
a) A = {a,b,c}
1.
b) B={x/x, factores del 4?
c) C = {x/x, x-17=2}_
d) D = {2,4,6}
e) E = {x EZ /x>7}
Answers
The Solution of each options are given below.
Define the term Sets in mathematics?A set is a grouping of unique items or components. Everything can be an object in a set, including letters, numbers, and even other sets. Sets are indicated by separating the elements with commas and enclosing them in curly braces.
Question asking about: Classify whether the following sets are in extension (E) form or Comprehension (C), also if it is: finite (F), infinite (1), null (N), unitary (U) and Convert from set form by extension to comprehension and vice versa.
a) A = {a, b, c}
Form: Extension (E)
Cardinality: 3 (finite)
b) B = {x / x is a factor of 4}
Form: Comprehension (C)
Cardinality: 3 (finite)
c) C = {x / x - 17 = 2}
Form: Comprehension (C)
Cardinality: 1 (unitary)
d) D = {2, 4, 6}
Form: Extension (E)
Cardinality: 3 (finite)
e) E = {x ∈ ℤ / x > 7}
Form: Comprehension (C)
Cardinality: ∞ (infinite)
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The Solution of each options are given below:
a) Cardinality: 3 (finite)
b) Cardinality: 3 (finite)
c) Cardinality: 1 (unitary)
d) Cardinality: 3 (finite)
e) Cardinality: ∞ (infinite)
Define the term Sets in mathematics?
A set is a collection of special objects or parts. Letters, numbers, and even other sets can all be considered objects in a set. Commas are used to separate the items and curly brackets are used to enclose them to signify sets.
Question asking about: Classify whether the following sets are in extension (E) form or Comprehension (C), also if it is: finite (F), infinite (1), null (N), unitary (U) and Convert from set form by extension to comprehension and vice versa.
a) A = {a, b, c}
Form: Extension (E)
Cardinality: 3 (finite)
b) B = {x / x is a factor of 4}
Form: Comprehension (C)
Cardinality: 3 (finite)
c) C = {x / x - 17 = 2}
Form: Comprehension (C)
Cardinality: 1 (unitary)
d) D = {2, 4, 6}
Form: Extension (E)
Cardinality: 3 (finite)
e) E = {x ∈ ℤ / x > 7}
Form: Comprehension (C)
Cardinality: ∞ (infinite)
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help me please I will mark as top answer
Answers
Answer:
the answer is B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
your welcome
Q 9 : The square of the cube of the square root of the square root of 16 is equal to
A. 512
B. 64
C. 81
D. 225
E. 256
ANSWER FAST
Answers
Answer:
256
Step-by-step explanation:
What is the complementary angle of CFB
Answers
Step-by-step explanation:
CFB reads as twenty five degrees
complementary angle will add to it to sum 90 degrees = sixty five degrees
angle CFD is sixty five degrees
ASAP Please Help! I need to show all the work. IM really confused. Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 2 end quantity plus 8 equals x
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x=11
Explanation: See below!
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
x = {6, 11}Step-by-step explanation:
\(\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11\)
Arachnophobia is the fear of spiders. People with arachnophobia suffer to different degrees, but they tend to react intensely to visible signs of the presence of spiders, such as webs. The director of a clinic decides to investigate different treatment types for arachnophobia. She gathers three groups of clients: One group receives in vivo flooding, which involves prolonged or repeated exposure to the actual anxiety-producing stimuli. The second group receives imaginal flooding, which involves the same techniques as in vivo flooding, except the exposure occurs in the client’s imagination. The third group receives no treatment. The results come in, and a statistician conducts an analysis of variance.
The ___________ is that there is no difference between the population means (in other words, there is no treatment effect).
The ___________is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
Answers
Answer:
1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).
2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
Step-by-step explanation:
In a statistical analysis, the statistician shares his participants into several groups and administers treatments to them. After administering the treatment, he might want to compare the values obtained to see if there is a difference. If he accepts the null hypothesis as true, that means that there was no difference between the population means. This can also be taken to mean that the result had no difference among the groups.
But if the alternative hypothesis was true, that means that the population means were not all equal and so, there was an effect from the treatment administered.
Answer:
1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).
2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
Find the quotient 1/15 divided by 6
Answers
1/90
Thats all, I hope this helps :)
Answer:0.03333333333
Step-by-step explanation:
PLEASE HELP CORRECT ANSWER GETS BRAINLY
Answers
Answer:
\(7.21\ units\)
Step-by-step explanation:
Start by giving the points coordinate points assuming the origin is the bottom left:
\(A(4,2)\\B(10,6)\)
Apply the formula for the distance between two points:
\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(d = \sqrt{(10-4)^2+(6-2)^2}\)
\(d = \sqrt{6^2+4^2}\)
\(d = \sqrt{36+16}\)
\(d = \sqrt{52}\)
\(d = 7.21\ units\)
Answer:
7.22 units
Step-by-step explanation:
Using Pythagorean Theorem
AB = √6² + 4²AB = √36 + 16AB = √52AB = 2√13AB = 2 × 3.61AB = 7.22 unitsWhat are the zeros of this function (g)(x)=3x^2-33x-180
Answers
Answer:
3x²-33x-180=3(x²-11x-60)=3(x-15)(x+4)
The roots are x-15=0, x=15 and x+4=0, x=-4
3(x² - 11x - 60) = 0
3(x - 15)(x + 4) = 0
(x - 15)(x + 4) = 0
x - 15 = 0 or x + 4 = 0
x = 15 or x = -4
The diameter of a planet is about 22,502 mi. The diameter of the planet's moon is about 22% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answers
Answer:
about 1.1%
Step-by-step explanation:
Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.
Scale factorThe ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:
moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%
The volume of the moon is about 1.1% of the volume of the planet.
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Find the slope of the line? (0,0) (1,-3)
Answers
Answer:
1/-3
Step-by-step explanation: hope this helps
btw can have brainliest?
Answer:
-3/1
Step-by-step explanation:
y2-y1 -3 - 0 -3
x2-x1 1 - 0 1
4x-8 = 12
4x - 8 + 8 = 12 + 8
4x= 20
4/4x=20/4 x=
Answers
Answer:
x=5
i just got it right on my quiz
Answer:
x5
Step-by-step explanation:
Solve using the quadratic formula: -6x2 - 4x + 2 = 0.
Answers
Answer:
6x2+4x-2=0(changing the sign )
Step-by-step explanation:
x=-4+-\(\sqrt\)16+48/12
=-4+-8/12
-4+8/12,-4-8/12
1/3.-1
What is the measure of arc RT
Answers
The measure of arc RT is 156 degree.
Measure of arc RTGiven:
arc TRM=102°
Hence:
arc RST=2×1O2°
arc RST=204°
Measure of arc RT
arc RT= 2(180° - 102°)
arc RT = 2(78°)
arc RT = 156 degrees
Therefore the correct option is B.
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i giveee brainlilsttt
Answers
Answer:
-5,1
Step-by-step explanation:
hope that helps
:))))))