Answer:
(a)
\(\begin{array}{ccc}{Industry} & {Frequency} & {\%Frequency} & {Bank} & {26} & {13\%} & {Cable} & {44} & {22\%} & {Car} & {42} & {21\%}& {Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} & {Total} & {200} & {100\%} \ \end{array}\)
(b): Cell industry
(c) See Explanation
Step-by-step explanation:
Given (Missing from the question)
\(Bank = 26\)
\(Cable = 44\)
\(Car = 42\)
\(Cell = 60\)
\(Collection = 28\)
\(Total = 200\)
Solving (a) Show the frequency and percent frequency.
The percentage frequency is calculated by:
\(\%Freq = \frac{Freq}{Total} * 100\%\)
So. we have:
\(\%Freq = \frac{26}{200} * 100\% = 13\%\) -- Bank
\(\%Freq = \frac{44}{200} * 100\% = 22\%\) --- Cable
\(\%Freq = \frac{42}{200} * 100\% = 21\%\) --- Car
\(\%Freq = \frac{60}{200} * 100\% = 30\%\) --- Cell
\(\%Freq = \frac{28}{200} * 100\% = 14\%\) --- Collection
The table becomes:
\(\begin{array}{ccc}{Industry} & {Frequency} & {\%Frequency} & {Bank} & {26} & {13\%} & {Cable} & {44} & {22\%} & {Car} & {42} & {21\%}& {Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} & {Total} & {200} & {100\%} \ \end{array}\)
Solving (b): The industry with the highest complaints
From the above table, the highest frequency is 60 and this represents the number of complaints of Cell industry.
Hence, the cell industry has the highest number of complaints
Solving (c): Comment
The percentage frequency table shows that the industry with the highest number of complaints is the cell industry (at 30%) and the industry with the least is the banking industry (at 13%)
Given the algebraic expression 125x7^3) -1^3 create an equivalent expression.
Answer:
third option
Step-by-step explanation:
using the rule of exponents
\((a^m)^{n}\) = \(a^{mn}\)
\(a^{-m}\) = \(\frac{1}{a^{m} }\)
\(a^{\frac{m}{n} }\) = \((\sqrt[n]{a})^m\)
given
\((125x^{\frac{7}{3} }) ^{-\frac{1}{3} }\)
= \(125^{-\frac{1}{3} }\) × \(x^{-\frac{7}{9} }\)
= \(\frac{1}{125^{\frac{1}{3} } }\) × \(\frac{1}{x^{\frac{7}{9} } }\)
= \(\frac{1}{\sqrt[3]{125} }\) × \(\frac{1}{x^{\frac{7}{9} } }\)
= \(\frac{1}{5}\) × \(\frac{1}{x^{\frac{7}{9} } }\)
= \(\frac{1}{5x^{\frac{7}{9} } }\)
18. True or False. If a function has a real sero of 4 with a multiplicity of three and an imaginary
zero of 41, then it has a degree of four.
19. True or False. The imaginary number 27 is a nero of ƒ(x) = x² −x² + 4x − 4.
20. True or False. The quotient of (x²-x² − 16x + 16) + (x − 1) is an irreducible quadratic.
For problems 21-26, use the limits of a polynomial to determine the end behavior.
Find the zeros of the function and indicate multiplicity. Then write the polynomial as a
product of linear factors. Sketch the graph, showing all intercepts.
/(x)=x² + 3x²-4
21. lim f(x) =
22. lim f(x) =
23. Zeros of f(x):
24. y-intercept of f(x):
25. Product of linear and irreducible quadratic factors of fix)
26. Sketch of f(x) using end behavior and intercepts. NO Desmos graphs.
The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.
What is a linear factor of a polynomial?The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.
A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.
You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.
To learn more about polynomial refer to:
https://brainly.com/question/2833285
#SPJ1
a quiz consists of 6 multiple-choice questions with 4 possible responses to each one. in how many different ways can the quiz be answered? (see example 7.)
His chances of correctly predicting an answer are 1/4.
He has a 3/4 chance of getting an answer incorrectly.
Binomial probability is defined.A random variable is distributed binomially with parameters n, p more precisely if
It is the number of successes over n separate* trials, each of which has a chance of success of p.
What distinguishes possibility from probability?Technically, the answer to whether an occurrence is possible is always "yes" or "no," or 1 or 0. Probability is the measure of how probable an event is to occur given the circumstances, assuming that it is feasible.
For instance, the likelihood of the number 5 appearing when we roll the dice is "Yes" (or 1), but the likelihood of the number 8 appearing is "No" (or 0).
Case 1: Guessing exactly 3 correct:
Choosing exactly 3 to get correct = Choosing exactly
3 to get wrong = 6C3 = (6*5*4)/(3*2*1) = 20 ways.
Guess the wrong answer for the first wrong one 3 ways.
Guess the wrong answer for the second wrong one 3 ways.
Guess the wrong answer for the third wrong one 3 ways.
That's 20*3*3*3 = 540 ways
Case 2: Guessing exactly 4 correct:
Choosing exactly 4 to get correct = Choosing exactly
2 to get wrong = 6C2 = (6*5)/(2*1) = 15 ways.
Guess the wrong answer for the first wrong one 3 ways.
Guess the wrong answer for the second wrong one 3 ways.
That's 15*3*3 = 135 ways
Case 3: Guessing exactly 5 correct:
Choosing exactly 5 to get correct = Choosing exactly
1 wrong = 6C1 = 6 ways.
Guess the wrong answer for the wrong one 3 ways.
That's 6*3 = 18 ways
Case 4: Guessing all 6 correct
There is only 1 way to guess them all correct
Total number of ways to pass: 540+135+18+1 = 694 ways to pass
Total number of ways to answer:
(4 ways to answer question 1) times
(4 ways to answer question 2) times
(4 ways to answer question 3) times
(4 ways to answer question 4) times
(4 ways to answer question 5) times
(4 ways to answer question 6) equals 4*4*4*4*4*4 = 46 = 4096
Probability of passing = 694/4096 = 347/2048 = 0.1694335938
To learn more about cumulative binomial probability visit:
brainly.com/question/29117021
#SPJ4
Choose the correct answer below
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
Learn more about cosine function at: https://brainly.com/question/29100023
#SPJ1
*WILL GIVE BRAINLIEST* Hi, I need help answering questions about the graph attached!
*ATTACHED ALREADY* Use Desmos to graph the following function :f(x)=2 sinx.
Use your graph to come up with a few solutions for the equation 2 sin〖x=2.〗
Are there more solutions than the ones on the graph? Explain.
The general solution of the function, y = sin(x), can be found by using the measure of the angles that have sines which equals 0 as follows;
x = -(2•π•n - π) and x = 2•π•nWhat is a general solution of a function?A general solution of a trigonometric function gives all possible solutions of the trigonometric functions and comprises of the integer n.
The given function is presented as follows;
f(x) = 2•sin(x)
The solution of the function is given by the point where f(x) = 0 as follows;
When f(x) = 0
2•sin(x) = 0
Therefore;
sin(x) = 0
Therefore;
x = arcsin(0)
sin(2•π) = 0
sin(π) = 0
Therefore, the solution is the set of whole number multiples of pi
Which gives;
x = -(2•π•n - π) and x = 2•π•n
Please find attached the graph of the function created with the required application.
From the graph of the function, we have that the graph crosses the x–axis at points -π, 0, π, ..., which are multiples of π
The general solution to the function f(x) = sin(x) is therefore;
x = -(2•π•n - π) and x = 2•π•n
Learn more about the sine function in mathematics here;
https://brainly.com/question/11881676
#SPJ1
Please help in urgent need for this answer
Step-by-step explanation:
i)
Consider the exponential equation
\(y = a {e}^{bt} \)
Now Substitute these points to get a and b value
(0,37000) , (1,20350)
\(37000 = a \times {e}^{b \times 0} \)
\(37000 = a \times 1\)
Hence a=37000
Now Substitute t=1
\(20350 = 37000 \times {e}^{b \times 1} \)
\( \frac{20350}{37000} = {e}^{b} \)
\(0.55 = {e}^{b} \)
\(b = log_{e}(0.55) = - 0.5978\)
b≈(-0.6)
\(y = 37000 {e}^{ - 0.6t} \)
is the required equation
ii)
\(y = 37000 {e}^{ - 0.6 \times 0.4} \)
\(y = 37000 {e}^{ - 0.24} \)
iii) it decreases by a factor of
\( {e}^{0.6} \)
every decade
So the factor by which the price of car decreases every year is
\( {e}^{ \frac{0.6}{10} } \)
as 1year =1/10 decade
Hence the required factor
\( {e}^{0.06} \)
I hope it helped you
Spring tides are extremely high and extremely low. This is created when the sun and moon pull together.
Answer:
yep true
Step-by-step explanation:
facts u know what u talking bout
y
X
-9
-6
3
9
x - 1
x
3
у
Answer:
see explanation
Step-by-step explanation:
-9x = -3y
-6x = 2 1/5y
3x = 0y
9x = 2y
Arianna says that the graphs of both of these functions will grow at the same cale s
she correct? Why or why not?
She is correct They grow at the same rate because
She is not correct. The graph of grows at a faster tale
than the graph of g because each value is mutplied by 4
There is not exgh intymaton to to which graph will
grow at a fasheerale
She is not correct The graph of g grows at a faster ale
than the graph of because & greater than 2
37
Answer:She is not correct The graph of g grows at a faster rate
than the graph of because 8 greater than 2
Step-by-step explanation:
Using PEMDAS, the exponents are done first.
8^3 = 512
4*2^3 = 32
This works for every number that X can be, 3 was just an example.
The length of two side of a triangle are 3cm and 7cm . What’s can you conclude about the third side of the triangle?
The length of the third side of the triangle must be less than the sum of the two other sides given.
k < 10 cm.
What are the possible lengths of the triangle?The possible lengths of the triangle is determined from the rules of length of a triangle.
The rule of lengths of triangle states that the length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides.
Let the third side of the triangle = k
The possible values of k is determined as;
k < ( 3 cm + 7 cm)
k < 10 cm
Thus, the length of the third side of the triangle must be less than the sum of the two other sides given.
Learn more about length of triangle here: https://brainly.com/question/24597672
#SPJ1
I need a lot of help in this! I’m not the best at graphs. Thank you so much! : )
The option that shows the inverse's graph (with the correspondent domain and range) is option a.
Which is the graph of the inverse?Remember that for a function:
f(x) = y
The inverse f⁻¹(x) is defined as:
f⁻¹(y) = x
Here the original function is defined by the relation:
x: -1, 1, 3, 5, 7
y: 4, 2, 1, 0, 1
Then for the inverse function, the domain and range are:
x: 4, 2, 1, 0, 1
y: -1, 1, 3, 5, 7
Then the domain is 0 ≤ x ≤ 4
And the range is -1 ≤ y ≤ 7
the option with these two is a, so that is the correct option.
Learn more about inverses at:
https://brainly.com/question/3831584
#SPJ1
Which statement explains why V34 is considered an irrational number? (8.NS. 1)
A. When evaluated, V34 results in a nonterminating and nonrepeating decimal, which is
considered an irrational number.
B. When evaluated, V34 results in a repeating decimal, which is considered an irrational
number
C. When evaluated, V34 results in a terminating decimal, which is considered an irrational
number.
D. When evaluated, V34 results in a whole number, which is considered an irrational
number.
Answer:
Its A.
Step-by-step explanation:
Whole numbers, terminating decimals, and repeating decimals are considered rational numbers. The only one that makes sense is A, because Irrational numbers are non terminating, non repeating decimals.
An example of an irrational number is Pi (3.1459...) or Square root of 7.
Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be the amount of sales tax on Whitney’s purchase?
Answer: 2.97$ that is what my teacher said
if w=10, x=5, and y=6, what is the surface are of the figure?
Answer:
hello!!!!
the answer is 280
im not really sure... read the description.... since i dont see a picture attached i dont know the figure shape which makes it difficult to guarantee the correct answer for you....
please read the explanation.. it always helps...
Step-by-step explanation:
okay im going to guess that the figure is a rectangular prism... if not please correct me
if so.... then...
2(10*5 + 10*6 + 5*6)= 280
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
which cellphone srvice provider was the first to be established in south africa
The first cellphone service provider to be established in South Africa was Vodacom. Vodacom was launched on April 1, 1994, and it became the country's first cellular network operator.
The company was a joint venture between Telkom, the national telecommunications company of South Africa, and Vodafone, a global telecommunications giant.
Vodacom introduced the GSM network to South Africa, providing mobile voice and data services to customers across the country. Its launch marked a significant milestone in the telecommunications industry in South Africa, as it brought mobile communication to the masses and revolutionized the way people connect and communicate.
Since its inception, Vodacom has played a pivotal role in the development of the telecommunications sector in South Africa. It has continually expanded its network coverage, introduced innovative services, and played an active role in bridging the digital divide in the country.
Today, Vodacom remains one of the leading mobile network operators in South Africa, providing a wide range of mobile services to millions of customers.
For more such questions on Vodacom,click on
https://brainly.com/question/28559820
#SPJ8
The probable question may be:
Which cellphone service provider was the first to be established in south africa
jason drove for three hours at an average speed of 55 miles per hour how far did he go?
Answer: 165 miles
Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.
Answer:
The answer is 165miles
Step-by-step explanation:
\(distance = speed \times time\)
d=55×3
d=165 miles
Find X,so that 7x+1,5x+7,and 2x-1 form an arithmetic sequence and write the first three terms.
The first three terms of the arithmetic sequence are -97, -63, and -29.
The value of x = -14.
How to Find the Terms in an Arithmetic Sequence?To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:
The common difference (d) is the same between all consecutive terms.
So, we have:
(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)
Simplifying the equation:
5x + 7 - 7x - 1 = 2x - 1 - 5x - 7
-2x + 6 = -3x - 8
Now, let's solve for X:
-2x + 3x = -8 - 6
x = -14
Substituting the value of X back into the expressions, we can find the first three terms:
First term: 7x + 1 = 7(-14) + 1 = -97
Second term: 5x + 7 = 5(-14) + 7 = -63
Third term: 2x - 1 = 2(-14) - 1 = -29
Learn more about Arithmetic Sequence on:
https://brainly.com/question/6561461
#SPJ1
y is directly proportional with x. Write an equation that shows the relationship if x=2 and y=6. A. y=3x B. 6y=2x C. y=13x D. 3y=x
Answer:
Hey there!
The relationship can be y=3x.
Let me know if this helps :)
Use the graph to find the following.
Answer:
where?
Step-by-step explanation:
PLEASE I NEED YOUR HELP
Answer:
opposite sides of a parallelogram are congruent
Step-by-step explanation:
Select the correct answer.
What is the value of this expression when n approaches infinity?
24 - 3 - 2/4 + 40
3n
n
+
E
15
3n²
The limit when n approaches infinity for the given expression is the one in option D, 21.
What is the value of the expression when n tends to infinity?Here we want to take the following limit of n when it tends to infinity in the following rational expression:
\(\lim_{n \to \infty} 24 - 3 - \frac{24}{2n} + \frac{40}{n} + \frac{15}{3n^2}\)
Notice that in all the terms where n appears, it is on the denominator. Thus, when n tends slowly to infinity, the denominator will be way larger than the numerator, and thus, all the fractions will tend to zero, then we will get:
\(\lim_{n \to \infty} 24 - 3 - \frac{24}{2n} + \frac{40}{n} + \frac{15}{3n^2} = 24 - 3 = 21\)
The correct option is the last one, D.
Learn more about limits at.
https://brainly.com/question/5313449
#SPJ1
transformed to create the graph of Y3x?
How is the graph of the parent function
O It is horizontally stretched by a factor of 3 and reflected over the y-axis.
It is translated 3 units down and reflected over the x-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis
It is translated 3 units down and reflected over the y-axis.
Answer:
The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.
PLEASE HELP IM SO LOST
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
Using the LIFO method and the information in this image, what is the Cost of Units on Hand and Cost of Goods Sold during this period?
Answer:
On hand: $3,120Sold: $14,480Step-by-step explanation:
You want the LIFO cost of units on hand, and the cost of goods sold if there are 60 units on hand that cost $52 and the total cost of all units was $17,600.
LIFOLIFO means "last in, first out". That is the oldest units remain in inventory to be the last ones sold. Here, the oldest units are from the first purchase, and are worth $52 each. There are 60 of them on hand, for a value of ...
units on hand = 60 × $52 = $3,120 . . . cost of units on hand
Goods sold
The remaining 240 units of the 300 purchased are goods that were sold. The total purchase was $17,600, so the cost of the goods that were sold is ...
$17,600 -3,120 = $14,480 . . . cost of goods sold
__
Additional comment
We could work backward through the purchases to find the cost of the 240 units sold. That would be the sum of the $6400 for the last 100, $6000 for the 100 previous to that, and $52 each for the 40 units sold from the first purchase.
Here, that arithmetic is made much easier by the fact that only 60 units from the first purchase remain in inventory. We can compute the value of remaining inventory and subtract that from the value of goods purchased to find the value of goods sold.
A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 3 cm/s. At what rate is the area of the rectangle increasing after 23 s?
Answer:
The area of the rectangle is increasing at a rate of 54 cm2/s.
Step-by-step explanation:
I will give brainiest!
Answer:
-4.5, -0.5, 0.3, 0.7, 2.3
Step-by-step explanation:
Yoga Common Core Performance Assessment_ Regina takes yoga classes 2 days a week at the community center. The cost for the classes is $72, and Regina pays an additional one-time fee of $12 to rent the yoga equipment used in class. The classes run for 6 weeks. The local gym offers the same yoga program, including equipment, for $8 a class. Is Regina paying more or less than what the local gym charges for yoga classes?
On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
cost for the 12 classes = $72
cost of 1 unit = $6
cost of 9 units = $54
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
is it possible to make a triangle with a measure of 1o m 6m and 7m
Answer:
Step-by-step explanation:
So basically you
Then you have to
And finally the answer is
A domino artist has 6 sets of 28 Domino’s.She arranges all the dominoes into four equal rows. How many dominoes are in each row?
The number of dominoes are in each row for the artist is 42 dominoes.
How to calculate the value?From the information, the domino artist has 6 sets of 28 Domino’s. The total Domino will be:
= Number of set × Amount in each set
= 6 × 28
= 168
Since she arranges all the dominoes into four equal rows. This will be:
= Total number / Rows
= 168 / 4
= 42
Learn more about art on:
brainly.com/question/1504175
#SPJ1