Construct a frequency distribution and a relative frequency histogram for the accompanying data set using five classes. Which class has the greatest relative frequency and which has the least relative​ frequency?Complete the table below. Use the minimum data entry as the lower limit of the first class.Class Frequency, f Relative frequencyx-x x xx-x x xx-x x xx-x x xx-x x x sumf= X?​(Type integers or decimals. Round to the nearest thousandth as​ needed.)DATA:Triglyceride levels of 26 patients​ (in milligrams per deciliter of​ blood)138 199 240 143 294 175 240 216 223180 138 266 161 175 402 172 459 147391 152 199 294 188 320 421 161

Answers

Answer 1

Answer:

[tex]\begin{array}{cc}{Class}& {Frequency} & 138 - 202 & 14 & 203 - 267 & 5 & 268 - 332 & 3 & 333 - 397 & 1 & 398 - 462 & 3 \ \end{array}[/tex]

The class with the greatest is 138- 202 and the class with the least relative frequency is 333 - 397

Step-by-step explanation:

Solving (a): The frequency distribution

Given that:

[tex]Lowest = 138[/tex] --- i.e. the lowest class value

[tex]Class = 5[/tex] --- Number of classes

From the given dataset is:

[tex]Highest = 459[/tex]

So, the range is:

[tex]Range = Highest - Lowest[/tex]

[tex]Range = 459 - 138[/tex]

[tex]Range = 321[/tex]

Divide by the number of class (5) to get the class width

[tex]Width = 321 \div 5[/tex]

[tex]Width = 64.2[/tex]

Approximate

[tex]Width = 64[/tex]

So, we have a class width of 64 in each class;

The frequency table is as follows:

[tex]\begin{array}{cc}{Class}& {Frequency} & 138 - 202 & 14 & 203 - 267 & 5 & 268 - 332 & 3 & 333 - 397 & 1 & 398 - 462 & 3 \ \end{array}[/tex]

Solving (b) The relative frequency histogram

First, we calculate the relative frequency by dividing the frequency of each class by the total frequency

So, we have:

[tex]\begin{array}{ccc}{Class}& {Frequency} & {Relative\ Frequency} & 138 - 202 & 14 & 0.53 & 203 - 267 & 5 & 0.19 & 268 - 332 & 3 & 0.12 & 333 - 397 & 1 & 0.04 & 398 - 462 & 3 & 0.12 \ \end{array}[/tex]

See attachment for histogram

The class with the greatest is 138- 202 and the class with the least relative frequency is 333 - 397

Construct A Frequency Distribution And A Relative Frequency Histogram For The Accompanying Data Set Using

Related Questions

f(x)=2x1 + 16x2 + 7x3 + 4x4 -> min

Answers

Step-by-step explanation:

f(x)=(2x-1)square=0

it can be 0 or greater than 0

Hence,maximum value of (2x- 1)square=0

maximum value of (2x- 1square)+3=0+3=3

Find a power series representation for the function. (Assume a>0. Give your power series representation centered at x=0 .)
f(x)=x2a7−x7

Answers

Answer:

Step-by-step explanation:

Given that:

[tex]f_x = \dfrac{x^2}{a^7-x^7}[/tex]

[tex]= \dfrac{x^2}{a^7(1-\dfrac{x^7}{a^7})}[/tex]

[tex]= \dfrac{x^2}{a^7}\Big(1-\dfrac{x^7}{a^7} \Big)^{-1}[/tex]

since  [tex]\Big((1-x)^{-1}= 1+x+x^2+x^3+...=\sum \limits ^{\infty}_{n=0}x^n\Big)[/tex]

Then, it implies that:

[tex]\implies \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\Big(\dfrac{x}{a} \Big)^{^7} \Big)^n[/tex]

[tex]= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x}{a} \Big)^{^{7n}}[/tex]

[tex]= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x^{7n}}{a^{7n}} \Big)}[/tex]

[tex]\mathbf{= \sum \limits ^{\infty}_{n=0} \dfrac{x^{7n+2}}{a^{7n+7}} }}[/tex]

IF A=[2,4] and B=[0,3] then BUA=?​

Answers

Answer:

it equal:

answer is : [0234]

A
(8x - 5) in.
B
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
03 in
O 4 in
8 in.
O 19 in
D
С
(3x + 10) in
[Not drawn to scale]

Answers

DA is 4 inches, hope this helps

Need a little help with this one

Answers

It’s the last one
0,5, 11, 15, 26, 45, 46, 46, 46, 52, 60, 71, 84, 87

The product of 2 consecutive even integers is 16 less than 8 times their sum

Answers

Answer:

there are two solutions:

x=0

and

x=14

Step-by-step explanation:

lts suppose the numbers are x and x+2, so:

[tex]x(x+2)=8(x+(x+2))-16\\x(x+2)=8(2x+2)-16=16x+16-16=16x\\x^2+2x=16x\\x^2-14x=0\\x(x-14)=0\\x=0,~x=14[/tex]

Find the image of the given point
under the given translation.
P(4, -7)
T(x, y) = (x+1, y + 3)
P' = ([?], []).

Answers

Answer:

P' (5, -4)

Step-by-step explanation:

P (4, -7)

x = 4 & Y =-7

T(4,. -7) = (4 + 1, -7 +3)

P' = (5, -4)

A bag has 180 balls. the ratio of red to blue to yellow balls is 8:5:7 how many red balls are there and how many blue balls are there

Answers

Answer:

72 red

45 blue

63 yellow

Step-by-step explanation:

8+5+7= 20

180÷20= 9

red = 9*8

blue = 9*5

yellow = 9*7

Few drivers realize that steel is used to keep the road surface flat despite the weight of buses and trucks. Steel bars, deeply embedded in the concrete, are sinews to take the stresses so that the stresses cannot crack the slab or make it wavy. The passage best supports the statement that a concrete road​

Answers

Answer: Is reinforced with other material

Step-by-step explanation:

The options are:

A is expensive to build.

B usually cracks under heavy weights.

C looks like any other road.

D is reinforced with other material.

The passage best supports the statement that a concrete road are reinforced with other material. According to the information given in the passage, steel plays a vital role in keeping the road surface flat.

Steel bars are embedded in concrete so that the stresses cannot crack the slab. Therefore, it indicates that concrete road is reinforced with other material.

Claire went to the animal shelter and noticed that 6/8 of the animals were rabbits. Out of all the rabbits 4/6 were female. What fraction of the animals were female rabbits?
SHOW ALL WORK

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

6/8 x 4/6 = 24/48

Answer:

1/2

Step-by-step explanation:

Which of the following is an even function?
g(x) = (x – 1)2 + 1
g(x) = 2x2 + 1
g(x) = 4x + 2
g(x) = 2x

Answers

Answer:  Choice B

Consider that choice B is the same as saying 2x^2+1x^0.

The exponents 2 and 0 are both even, which is sufficient to say that the entire polynomial function itself is also even.

Something like choice A expands out and simplifies to x^2-2x+2, and that's equivalent to saying x^2+2x^1+2x^0. The presence of the x^1 term, with its odd exponent, is what makes choice A not even (it's not odd either).

Similarly, choices C and D also have exponents of 1, so they aren't even either.

Answer:

G(x)=2x2+1

Step-by-step explanation:

Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each.How many of each kind did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears? Branliest if correct.

Answers

Answer:

Number of pineapples = 10

Number of pears = 10 + 9 = 19

Number of kiwis = 10 - 2 = 8

Step-by-step explanation:

Money = $ 13.5

Cost of a pear = $ 0.5

Cost of a pineapple = $ 1.5

Cost of a kiwi = $ 0.3

let the number of pineapple = p  

Number of pears = p + 9

Number of kiwis = p - 2

Cost is

0.5 (p + 9) + 0.15 p + 0.3 (p - 2) = 13.5

0.5 p + 4.5 + 0.15 p + 0.3 p - 0.6 = 13.5  

0.95 p = 9.6

p = 10

So, number of pineapples = 10

Number of pears = 10 + 9 = 19

Number of kiwis = 10 - 2 = 8  

Answer:

3 pineapples  12 pears  10 kiwis

UNIT CHECKPOINT:
Probability Distributions
Calculator
Suppose a normal distribution has a mean of 18 and a standard deviation of 4.
A value of 24 is how many standard deviations away from the mean?
-3
-1.5
1.5

Answers

24 = 18 + 6 = 18 + 1.5*4

so 24 is +1.5 standard deviations away from the mean.

Answer:

The above answer is definitely correct.

Step-by-step explanation:

Frans paid R9600 as interest on a loan he took 5 years ago at 16% rate. What's was the amount he took as loan?

Answers

Step-by-step explanation:

Interest (I)=R9600

Rate(R)=16%

Time (T)=5years

Principal (P)=?

P=100×I÷R×T

P=100×R9600÷16×5

P=R960000÷80

P=R12, 000

Answer:

      The amount he took as loan = R12,000

Step-by-step explanation:

Simple Interest

Let loan amount be = P

R = 16%

T = 5years

I = 9600

Find P

  [tex]I = \frac{PRT}{100}\\\\9600 = \frac{P \times 16 \times 5}{100}\\\\P = \frac{9600 \times 100}{16 \times 5} = 12,000[/tex]

PLEASE HELP!!! I tried using different formulas, adding, subtracting, dividing, multiplying you name it and I have yet to find the correct answer. How would I should this problem?

Answers

Answer:

19.14

Step-by-step explanation:

You have a half circle and a square, look at them separate then add for the area.

Circle

Your radius is half the diameter, so 4/2

Radius  = 2

[tex]A = 3.14 * radius\\A = 3.14 * 2\\A = 6.28[/tex]

This is for the entire circle, half of that would be 3.14

Square

[tex]A = 4^{2} \\A = 16[/tex]

Add them both together for a total area of 19.14 square miles

Name the following polynomial based on its degree and number of terms x to the power of 2 plus 6x - 4

Answers

Answer:

x²+6x-4 is answer maybe

what is the difference between dot product and cross product?

Answers

Answer:

A dot product is the product of the magnitude of the vectors and the cos of the angle between them. A cross product is the product of the magnitude of the vectors and the sine of the angle that they subtend on each other.

Step-by-step explanation:

1. In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1007 adults to learn about their major health-care concerns. The survey results showed that 574 of the respondents lack confidence they will be able to afford health insurance in the future. Develop a 90% confidence interval for the population proportion of adults who lack confidence they will be able to afford health insurance in the future.

Answers

Answer:

The correct answer is "1668". A further solution is provided below.

Step-by-step explanation:

According to the question,

Estimated proportion,

[tex]\hat{p} = \frac{574}{1007}[/tex]

  [tex]=0.57[/tex]

Margin of error,

E = 0.02

Level of confidence,

= 90%

= 0.90

Critical value,

[tex]Z_{0.10}=1.65[/tex]

Now,

⇒  [tex]0.02=1.65\times \sqrt{\frac{0.57\times 0.43}{n} }[/tex]

 [tex]0.0004=2.7225\times \frac{0.2451}{n}[/tex]

         [tex]n=\frac{2.7225\times 0.2451}{0.0004}[/tex]

             [tex]=1668.21[/tex]

or,

         [tex]n \simeq 1668[/tex]

19. Students at a certain school can enroll in one elective course: painting, theater, choir, or band. This two-way frequency
table gives the number of male and female students enrolled in each class.
Male Female Total
Painting 17 16 33
Theater 15
18
33
Choir 21 25 46
Band 28
25
53
Total 81
84
165
Determine the conditional relative frequency that a student in the sample is enrolled in painting given that the student is
female.
O A. 19.0%
O B. 48.5%
O C. 9.7%
O D. 19.8%

Answers

Answer:

19.0%

Step-by-step explanation:

The probability that a student in the sample data is enrolled in painting Given that the student is female is a conditional probability and can be defined as :

Let,

F = Female ; P = painting

P(Painting Given female) = P(P|F) = (PnF) / F

From the table :

(PnF) = 16

F = 84

Hence,

P(P|F) = 16 / 84 = 0.19047 = 0.19047 * 100%

P(P|F) = 19.0%

f(x) = (x + 1)^2
Determine for each x-value whether it is in the domain of f
or not.

Answers

Answer:

All of them are in the domain.

Step-by-step explanation:

The function is f(x)= (x+1)^2. If you simplify this, you get y=x^2+2x+1=0. This is a quadratic that opens upwards. There are no gaps in the x values and no impossible values. The domain is all real numbers and all the answer choices are real numbers.

Can someone please explain to me how to solve the problem? I need to know how to complete it more than just the answer. Thanks!

A plane is flying at an altitude of 13,000 ​ft, where the temperature is -2 degrees F. The nearby​ airport, at an altitude of 2,000​ft, is reporting precipitation. If the temperature increases 2.1 degrees F for every​ 1000-ft decrease in​ altitude, will the precipitation at the airport be rain or​ snow? Assume that rain changes to snow at 32 degrees F.

Is the precipitation at the airport rain or​ snow?

Answers

9514 1404 393

Answer:

  snow

Step-by-step explanation:

The relationship between temperature and altitude is given as ...

  T = -2 +((13000 -a)/1000)×2.1

We can put a=2000 into this equation to find the temperature at that altitude.

  T = -2 +((13000 -2000)/1000)×2.1 = -2 +11(2.1) = -2 +23.1 = 21.1

The airport temperature of 21.1 °F is below 32 °F, so we expect the precipitation to be snow.

J. Aitchison collected expenditures data for 20 randomly selected single men and 20 randomly selected single women. He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women. What is the correct alternative hypothesis?
a. Md = 0
b. μα = 0
c. ud > 0
d. Opmen — Вwomen
e. Himen > Mwomen
f. Mmen Mwomen

Answers

Answer:

The alternative hypothesis is [tex]H_1: \mu_M - \mu_W \neq 0[/tex], considering M for men and W for women.

Step-by-step explanation:

He uses the data to conduct a hypothesis test to determine if the mean percent of expenditures that goes toward housing (including fuel and light) is different for men and women.

At the null hypothesis, we test if there is not difference, that is, the difference of the mean is 0, so:

[tex]H_0: \mu_M - \mu_W = 0[/tex]

At the alternative hypothesis, we test if there is a difference, that is, the difference of the means is different of 0, so:

[tex]H_1: \mu_M - \mu_W \neq 0[/tex]

Need help on last question

Answers

Answer:

Step-by-step explanation:

so let the equation equal 13

13 = 3[tex]x^{3}[/tex]-12x+13

so when ever 3[tex]x^{3}[/tex]-12x=0  then this is equation is true, soooo

x (3[tex]x^{2}[/tex] - 12) =0

so when x = 0  this is true, but also when

3[tex]x^{2}[/tex]-12=0   also

3[tex]x^{2}[/tex] = 12

[tex]x^{2}[/tex] = 4

x = 2

so when x = 2  or -2  or 0  ,  then this is true

is y=3x^2-x-1 a function

Answers

Answer: Yes it is a function.

This is because any x input leads to exactly one y output.

The graph passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the parabolic curve.

If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Joanne and Angela to paint the room working together? Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

If J can paint a room in 3 hours, in 1 hour she gets [tex]\frac{1}{3}[/tex] of the job done.

If A can paint a room in 4 hours, in 1 hour she gets [tex]\frac{1}{4}[/tex] of the job done. We need to find out how long it takes them if they paint together. The equation for this is:

[tex]\frac{1}{3}+\frac{1}{4}=\frac{1}{x}[/tex] where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get

4x + 3x = 12 so

7x = 12 and

x = 1.7 hours to get the room painted together.

The explicit rule for a sequence and one of the specific terms is given. Find the position of the given term.

f(n) = 3.75n − 27.5; 25


Step 1 out of 2:
You know that the value of f(n) is 25. Substitute 25 for f(n) in f(n) = 3.75n − 27.5.
25 = 3.75n − 27.5
= 3.75n

Answers

Answer:

14

Step-by-step explanation:

Given :

f(n) = 3.75n − 27.5

f(n) = 25

Put f(n) = 25 in the equation :

25 = 3.75n - 27.5

25 + 27.5 = 3.75n

52.5 = 3.75n

52.5 / 3 75 = n

14 = n

The position of the term is 14

41:41
How many solutions does this linear system have?
y=-6x+2.
-12x - 2y = -4
O one solution: (0,0)
one solution: (1, -4)
O no solution
O infinite number of solutions
Answer is C

Answers

Answer:

Answer: B

Step-by-step explanation:

just solve keep up learning!

answer C
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Suppose that two teams play a series of games that end when one of them has won i games. Suppose that each game played is, independently, won by team A with probability p. Find the expected number of games that are played when i = 2. Also show that this number is maximized when p= 21.

Answers

Answer:

a) E(x) = -2p^2 + 2p + 2

b) Number is maximized when p = 1/2

Step-by-step explanation:

Determine the Expected number of games  when ( i ) = 2

The number of possible combinations that both teams win two games :

AA, BB, ABB, ABA, BAA, BAB  = 6 combinations

P( team A winning ) = p

P( team B wins ) = 1 - p

Attached below is the detailed solution on the expected number of games

expected number of games ; E(x) = -2p^2 + 2p + 2

ii) Number is maximized when p = 1/2

In this exercise we will use the knowledge of probability and combination, so we have what will be:

a)[tex]E(x) = -2p^2 + 2p + 2[/tex]

b)[tex]p = 1/2[/tex]

Organizing the information given in the statement as:

Expected number of games  when ( i ) = 2

A)The number of possible combinations that both teams win two games :

[tex]AA, BB, ABB, ABA, BAA, BAB = 6 \ combinations\\P( team\ A \ winning ) = p\\P( team \ B \ wins ) = 1 - p\\E(x) = -2p^2 + 2p + 2[/tex]

B) To calculate the maximum number we must solve the quadratic equation, like this:

[tex]p=1/2[/tex]

See more about probability at brainly.com/question/795909

the law which states that the ratio of the sine of an angle to the side opposite it is constant is the

Answers

Answer:

The law which states that the ratio of the sine of an angle to the side opposite it is constant is the Law of Sines.

Step-by-step explanation:

The Law of Sines states that in any given triangle, the ratio of the length of any side to the sine of its opposite angle is the same for all three sides of the triangle and has a constant value.

The law which states that the ratio of the sine of an angle to the side opposite it is constant is the Law of sine.

Here,

We have to find, the law which states that the ratio of the sine of an angle to the side opposite it is constant.

What is Law of sine?

If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side's length to the sine of the angle opposite the side must all be the same.

Now,

The law which states that the ratio of the sine of an angle to the side opposite it is constant is known as Law of sine.

Learn more about the Sine rule of law visit:

https://brainly.in/question/6277734

#SPJ2

Angle ABC has A(3-,6), and C(9,55 as it vertices.
What is the length of side AB in units?

Answers

Answer:

7.07 units

Step-by-step explanation:

Given

[tex]A = (-3,6)[/tex]

[tex]B = (2,1)[/tex]

[tex]C = (9,5)[/tex]

See comment for complete question

Required

Side length AB

To do this, we make use of the following distance formula;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]d = \sqrt{(-3 - 2)^2 + (6 - 1)^2}[/tex]

[tex]d = \sqrt{(-5)^2 + 5^2}[/tex]

[tex]d = \sqrt{25 + 25}[/tex]

[tex]d = \sqrt{50}[/tex]

[tex]d = 7.07[/tex]

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