the stem plot shows the number of swimming laps completed by swim team members at a single practice
Which of the following is a correct statement about the distribution?

The Stem Plot Shows The Number Of Swimming Laps Completed By Swim Team Members At A Single Practice Which

Answers

Answer 1

The correct statement is the distribution is unimodal.

What is the correct statement?

A Stem plot is a table where each data value is split into a stem which is the first digit or digits and a leaf which is the last digit.

Mode refers to a value that appears most frequently in a data set. A unimodal data set is a distribution with one clear most frequent values. There are only one set of modes in the data. They are 76.

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Related Questions

The population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 20% in 10 years. what will be the population in 20 years? (round your answer to the nearest person.)

Answers

The population in 20 years is 719 people.

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

According to the question

[tex]\frac{dP}{dt} = kP[/tex]   where P is population at any time

solving equation,

[tex]\int[/tex][tex]\frac{dP}{dt} =\\[/tex] [tex]\int kP[/tex]

[tex]lnP=kt+C[/tex]                                 -(1)

Applying the conditions,

at t=0, P = 500

[tex]ln500=C[/tex]                                      -(2)

at t=10, P= 600

putting it in equation gives

[tex]ln(600) = k(10)+ln(500)[/tex]

ln(6/5) = k(10)

[tex]k = \frac{ln(6/5)}{10}[/tex]

at t=20 , P= ?

[tex]lnP=(\frac{ln(6/5)}{10})20 + ln500[/tex]

[tex]lnP=({ln(6/5)}{2 + ln500[/tex]

On putting the values of ln(6/5) , ln(500)

[tex]lnP=0.182(2) + 6.214[/tex]

[tex]P = e^{6.578}[/tex]

P = 719.099

On rounding off

P ≈ 719 people

Thus the population in 20 years is 719 people.

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Ryan Massey wants to deposit the following into his savings account: 28 ten-dollar bills, 9 five-dollar bills,
20 quarters, 85 dimes, 32 pennies, and three checks for $654.24, $100.00, and $458.92. He wants to
receive $50.00 in cash.

Answers

After he withdraws $50.00 in cash the bank reconciliation shows that Ryan would have: $1 501.98 in bank balance.

What is the solution to the above?

Add all the deposits

28 x 10 = 2809 x 5 = 4520 x 0.25 = 585 x 0.10 = 8.532 x 0.01 = 0.32

Total = $338.82

Add the checks

654.24 + 100.00 + 458.92

= $1,213.16

Total amount deposited is:  Cash + Check

1,213.16 + 338.82

Total Deposit = $1,551.98

Less withdrawal of $50

$1,551.98 - $50

Balance left = 1 501.98

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Full Question:

Ryan Massey wants to deposit the following into his savings account: 28 ten-dollar bills, 9 five-dollar bills, 20 quarters, 85 dimes, 32 pennies, and three checks for $654.24, $100.00, and $458.92. He wants to receive $50.00 in cash.

How much cash would he lave left after he withdraws $50.00 in cash?

Maira has a total of Rs.1040 as currency notes in the denomination of Rs.10, Rs.20 and Rs.50. The ratio of the number of Rs.10 notes and Rs.20 notes is 2:5. If she has a total of 30 notes, how many notes of each denomination she has.​

Answers

Answer:

Given that,

Maira has a total of Rs.1040 as currency notes in the denomination of Rs.10, Rs.20 and Rs.50.

The ratio of the number of Rs.10 notes and Rs.20 notes is 2:5.

She has a total of 30 notes with her.

Let assume that

Number of Rs 10 notes be 2x

Number of Rs 20 notes be 5x

Number of Rs 50 notes be 30 - (2x + 5x) = 30 - 7x

So,

[tex]\begin{gathered}\qquad \:\boxed{\begin{aligned}& \qquad\sf \:Denomination \: of \: Rs \: 10=2x\qquad \: \\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 20=5x\\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 50=30 - 7x\end{aligned}} \qquad \\ \\ \end{gathered}[/tex]

Now,

Amount in form of Rs 10 = 10 × 2x = Rs 20x

Amount in form of Rs 20 = 20 × 5x = Rs 100x

Amounts in form of Rs 50 = 50 × (30 - 7x) = Rs 1500 - 350x

Now, According to statement

[tex]\begin{gathered}\sf \: 20x + 100x + 1500 - 350x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \: 120x + 1500 - 350x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \: 1500 - 230x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \:- 230x = - 460 \\ \\ \end{gathered}[/tex]

[tex]\sf \: \implies x = 2 [/tex]

Hence,

[tex]\begin{gathered}\qquad \:\boxed{\begin{aligned}& \qquad \:\sf \:Denomination \: of \: Rs \: 10=4\qquad \: \\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 20=10\\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 50=16\end{aligned}} \qquad \\ \\ \end{gathered}[/tex]

━━━━━━━━━━━━━━━━━━━━━

22/11,594 I need a step by step answer

Answers

Answer:

1.89753

Step-by-step explanation:

22/11,594

Multiply the numerator and denominator by 1000 to remove decimal

         [tex]\frac{22}{11.594} * 1000 = \frac{22000}{11594}[/tex]

Using long division

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Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2 – 17x – 36. 2x2 – 9x x2 6x – 24 x2 – 2x – 9 –4x2 8x 36

Answers

The expression for the area of the base of Prism is   x2 – 2x – 9

The volume of a rectangular prism is this

Volume = Area x Height

Substituting the given expressions

x3 + 2x2 - 17x - 36 = Area x (x + 4)

Area = (x3 + 2x2 - 17x - 36) / (x + 4)

Now, let's use synthetic division

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is

Area = x2 - 2x - 9

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To wire the entire new addition, max and fred have 6 rolls of wire with 9 2/5 feet per roll and 7 rolls of wire with 16 3/4 feet per roll. how many feet of additional wire do they need in order to complete the job if it requires 200 feet of wire? write the result as a mixed number.

Answers

Additional wire of  26 7/20 feet, in the form of a mixed fraction, is required to complete the job.

What is the length of additional wire required, in the form of a mixed fraction?

A mixed fraction is represented by both its quotient and remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Max has total 6*9 2/5feet of wire, that is, 282/5 feet of wire.

Fred has total 7*16 3/4 feet of wire, that is, 469/4 feet of wire.

The total amount of wire required=200 feet

The total amount of wire available=282/5+469/4

                                                         =3473/20

An additional amount of wire is required=200-3473/20

                                                                   =(4000-3473)/20

                                                                   =527/20

Thus, the additional amount of wire required is expressed as a mixed fraction= 26 7/20 of feet.

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A triangle has one side length of 2x

2 + 5x + 3. The other two sides of the triangle have lengths x

2 + 2x and
3x − 2. Determine the simplified expression that represents the total perimeter of the triangle.

Answers

The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

How to determine the perimeter?

The side lengths are given as:

2x^2 + 5x + 3, 2 + 2x and 3x - 2

Add these lengths to determine the perimeter (P)

P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2

Collect like terms

P = 2x^2 + 5x + 2x + 3x  + 3 + 2 - 2

Evaluate the like terms

P = 2x^2 + 10x  + 3

Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

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Select the correct answer. The steps for solving the given equation are shown below. -3-7 T 11 C 4 Steps 7 4 114 -3x7 44 -3x7 + 7 = 44 + 7 -3x = 51 3r = I = -17 Justifications 1. multiplication property of equality 2. simplification 3. 777 4. simplification 5. division property of equality 6. simplification Select the correct property for the missing justification in the table. addition property of equality division property of equality multiplication property of equality subtraction property of equality Select the correct answer . The steps for solving the given equation are shown below . -3-7 T 11 C 4 Steps 7 4 114 -3x7 44 -3x7 + 7 = 44 + 7 -3x = 51 3r = I = -17 Justifications 1. multiplication property of equality 2. simplification 3. 777 4. simplification 5. division property of equality 6. simplification Select the correct property for the missing justification in the table . addition property of equality division property of equality multiplication property of equality subtraction property of equality​

Answers

The property for the missing justification is: A. addition property of equality.

What is the Addition Property of Equality?

If b - a = c, based on the addition property of equality, we can isolate b by adding a to both sides, i.e. b - a + a = c + a, to give us b = c + a.

Using the addition property of equality, 7 was added to both sides of the equation as shown in step 3.

Therefore, the missing justification is: A. addition property of equality.

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Select the correct answer.
Which statement is true about function f, which is shown in the graph?



The graph shows a cubic function. The curve is drawn using the points (minus 1, 8), (minus 1, minus 3.5), (0, 0), (1, 3.5), and (1, minus 8) which intercepts (1, 0), and (minus 1, 0)

A.
Function f is neither even nor odd.
B.
Function f is odd.
C.
Function f is both even and odd.
D.
Function f is even.

Answers

A would be the answer for this

HELP PLSSSSS! 10 points for whoever and good ratings

Answers

Answer:

Hello! The answer is 19.25 m²

Step-by-step explanation:

A = 1/2(4 + 7)3.5

A = 1/2(11)3.5

A = (5.5)3.5

A = 19.25 m²

Answer:

19.25 m²

Step-by-step explanation:

A = (1/2)(b1 + b2)h

A = (1/2)(7 m + 4 m)(3.5 m)

A = 19.25 m²

What is the area of a square with radius 7.5m

Answers

Answer:

48.375

Step-by-step explanation:

Area of square- area of circle

Side^2 - pieR^2

(15)^2 - 3.14*7.5*7.5

225 - 176.625

= 48.375

Hope this helps

The area of the square is 56.25 m².

The area of the square is:

Area = Side²

Area = (7.5 m)²

Area = 56.25 m²

{ Pisces04 }

Select all the correct answers.
3x
If the measure of angle is 4, which statements are true?
The measure of the reference angle is 60°.
□ sin(0) = 2
The measure of the reference angle is 45°.
Otan(8) = 1
cos(8) = √2
The measure of the reference angle is 30°.

Answers

If the measure of angle θ is 3π/4, the true statements are:

sin(θ) = √2/2.The measure of the reference angle is 45°.

How to determine the true statements?

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

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Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

what postulate is this?
A. SSS (side side side)
B. SAS (side angle side)
C. ASA (angle side angle)
D. AAS (angle angle side)

Answers

Answer:

the answer is c ASA

Step-by-step explanation:

i think I. not sure

What second degree polynomial function has a leading coefficient of -2 and root 4 with a multiplicity of 2

Answers

The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:

[tex]p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2[/tex]

How to write the polynomial?

A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:

[tex]p(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)[/tex]

Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.

Then this polynomial is equal to:

[tex]p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2[/tex]

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What is the radius of the circle with equation (x + 1/5) ^ 2 + (y - 2/5) ^ 2 = 1/25

Answers

Answer:

1/5

Step-by-step explanation:

In the circle equation shown, the 1/25 all by itself on the right side of the equation is r^2.

r^2 = 1/25

Squareroot both sides.

r = 1/5

What is the slope of each of these three graphs?

Answers

[5] No slope (or a slope of 0)

      There is no incline or decline to the line, so there is no slope.

[6] 1

      We can use "rise over run" since we have clear points on the graph. See attached.

[7] Undefined slope

      This slope of this line is undefined. The formula for slope is [tex]\frac{\text{change in y}}{\text{change in x}}[/tex] which becomes [tex]\frac{0}{0}[/tex] in a case like this. You cannot divide by 0, giving a slope of undefined.

A book seller gains 30% on the cost price by selling a book for $130.Calculate the cost price of the book.​

Answers

Answer:

Let the cost price be x

Selling price, S.P. = 130Gain % = 30%

[tex]\rm{C.P. = \dfrac{S.P. \times 100}{100+ gain \% }}[/tex]

[tex]\rm{C.P. = \dfrac{130 \times 100}{100+30}}[/tex]

[tex]\rm{ C.P. = \dfrac{130}{30} }[/tex]

[tex]\large{\boxed{\rm{ C.P. = \dfrac{13}{3}}}}[/tex]

A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?

Answers

Answer:

Central Angle (Radians)=

1.0482

Central Angle (Degrees)=

6.0058e+1

Sector Area Equals

0.477

Step-by-step explanation:

Can someone help with these geometry questions? I gotta have answers fast, it’s urgent:(

Answers

Can't answer 1-6 cause I have no idea what you need

7) A triangle with two congruent sides is isosceles.

8) [tex]\overline{AC}[/tex] and [tex]\overline{BC}[/tex]

9) [tex]\angle C[/tex]

10) [tex]\overline{AB}[/tex]

11) [tex]\angle A, \angle B[/tex]

12) isosceles triangle

what does I mean in a equation

Answers

Iota, also known as the symbol , is denoted as being the square root of -1. Since square roots of negative numbers do not exist, there is a variable that represents it complexly. In fact, every real number (a) can be represented using the form (a) + (0).

On occasion, variables can also use and it does not have to be talking about the square root of -1. However, this rarely ever happens to avoid confusion. Check instructions in questions to see how is defined.

I really need help on this question

Answers

Answer:

24

Step-by-step explanation:

Since 20 is 4/3 * 15, the answer must be 4/3 * 18

4/3 * 18 = 24, so the answer is 24

A random sample of 16 ATM transactions at the Last National Bank of Flat Rock revealed a mean transaction time of 2.8 minutes with a standard deviation of 1.2 minutes. The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is

Answers

The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is 1.2786 minutes.

Sample size (n) = 16.

Sample mean = 2.8 minutes.

Sample standard deviation (σ) = 1.2 minutes.

Confidence interval given = 95%.

The degree of freedom (df) can be calculated as n - 1.

df = n - 1 = 16 - 1 = 15.

Since, the level of confidence is 95%, the level of significance α = 1 - 0.95 = 0.05.

From the T-Distribution table, we take the value at critical value α/2 with the degree of freedom 15.

[tex]t_{\frac{\alpha }{2} ,15}[/tex] = 2.131.

Now, the margin of error can be shown as follows:

[tex]E = t_{\frac{\alpha }{2} ,15} * \frac{\sigma}{\sqrt{n} } \\\Rightarrow E = 2.131 * \frac{1.2}{\sqrt{16} }\\ \Rightarrow E = 0.6393[/tex]

The width at the confidence interval of 95%, is twice the margin of error, that is:

Width = 2*E = 2*0.6393 = 1.2786.

Thus, the width (in minutes) of the 95 percent confidence interval for the true mean transaction time is 1.2786 minutes.

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Please help me Ill mark you brainlest

Answers

Answer:

Step-by-step explanation:

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Given circle A with radius 15, find the length of arc FD. Give your answer rounded to the nearest hundredth.
Answer:
20°
156°
46°
my
E
D
B

Answers

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of an arc is given by:

arc length = (Ф/360) * 2π*radius

Let us assume that the angle is 120°

arc FD = (135/360) * 2π(15) = 10π

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

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PLEASE HELP!!!
Determine the measure of the angle formed by the line y=3/2x and the positive x-axis.

Answers

Answer:

the angle = ~56.3 degrees

Step-by-step explanation:

1. y=3/2(x) and y=0
2. say x is equal to 4. the length along the x axis is 4. you would plug x=4 into y=3/2x to get the length along the y axis (which would be 6). then you would use these lengths to find the angles value with tan. tan^-1(6/4), so the answer would be ~56.3 degrees

Which choices are equivalent to the expression below? Check all that apply.

√8√8

A. √8
B. 8
C. √√8.8
D. 64
E. √16
F. 64

Answers

I hope this photo will help you.

If AABD
ACBD,
LA = 32° and ZC = 5x - 13
A
C
x =
B
D
[?]

Answers

Answer: 9

Step-by-step explanation:

By CPCTC,

[tex]32=5x-13\\\\45=5x\\ \\ x=9[/tex]

A bucket is in the shape of a frustum with top diameter 20cm and bottom diameter 12cm. If the height of the bucket is 8cm, calculate the volume of the bucket​

Answers

Answer: V≈1642 cm³.

Step-by-step explanation:

D=20 cm      d=12 cm      h=8 cm       V=?

[tex]R=\frac{D}{2}=\frac{20}{2} =10 \ (cm).\\ r=\frac{d}{2}=\frac{12}{2}=6 \ (cm).\\ \boxed {V=\frac{1}{3} *\pi *h*(R^2+R*r+r^2)} \ \ \ \ \ \Rightarrow\\V=\frac{1}{3}*\pi *8*(10^2+10*6+6^2)\\V=\frac{1}{3}*\pi *8*(100+60+36)\\ V=\frac{8}{3} *\pi *196\\V=\frac{8*196*\pi }{3} \\V\approx1642\ cm^3.[/tex]

Robert, Richard and David were working on a project to redesign coke cans. First, Robert measured the original coke can and found the circumference to be 8.6 inches. Richard measured the height to be 15.2 cm.
David calculated the volume to be 131.3 cm3.
Choose the true statement(s) below.

Select one or more:
a.David's calculations are incorrect, he needed to convert centimeters to inches before finding the radius then use the area of the base times the height .

b.David is correct.

c.David's calculations are incorrect, he used the circumference and the height to find the volume.

Answers

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Volume

Correct calculation:

Height = 15.2 cmCircumference = 8.6 inches

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

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A grandfather is 51, while his grandson is 11. in how many years will the grandfather's age be twice the age of his grandson?

Answers

Answer:

29 years

Step-by-step explanation:

In 29 years the grandson will be 40 and the grandfather will be 80. 80 is twice as much as 40.

Answer: 29 years

Step-by-step explanation: if the grandfather is 51 when the grandson is 11 then the grandfather was 40 when his grandson was born. This mean the grandfather will be 80 when the grandson is 40. 40-11=29

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What is meter, tonality, harmony, and tempo of Passacaglia and Fugue in C minor by Johann Bach?Tonality options: minor or majorHarmony options: mostly consonant with occasional dissonances, or mostly dissonant with occasional consonancesTempo options: fast or slow Meter options: duple, triple, mixed or changing The balance in the supplies account before adjustment at the end of the year is $6,250. The proper adjusting entry if the amount of supplies on hand at the end of the year is $1,500 would be What combination of transformations is shown below?23reflection, then translationtranslation, then reflectionreflection, then rotationtranslation, then rotation1 What conclusion can be drawn about the relationship of joseph listers and louis pasteurs work?. An increase in railroad mileage in an area led to great economic growth in that area. Between 1870 and 1890, which area had the greatest increase in railroads and, as a result, the most significant economic growth?New Englandthe SouthWestern states and territoriesthe middle states This timeline focuses on Germanys history in the first half of the twentieth century. June 1919: Germany signs the Treaty of Versailles. May 1924: Hitler writes Mein Kampf in prison. Jan. 1933: Hitler becomes the Chancellor of Germany. Mar. 1933: The Enabling Act makes Hitler a dictator. Apr. 1933: Hitler announces a boycott of Jewish-owned businesses. June 1938: The Anschluss occurs as Germany takes over Austria. Nov. 1938: Kristallnacht occurs, destroying Jewish-owned businesses. Sept. 1939: Germany invades Poland.Which entries could best be used to support a document-based essay on Nazi Germanys aggressive foreign policy? Select two answers.June 1919May 1924January 1933June 1938November 1938September 1939 there are 12 students including 4 boys in a classroom. Find the number of girls in 8 such classrooms 1. For the month of July, calculate the following: a. Budgeted sales b. Budgeted merchandise purchases c. Budgeted cost of goods sold d. Budgeted net operating income2. Prepare a budgeted balance sheet as of July 31. Which of these characteristics apply to viruses? Select all that apply.Viruses do not require nutrients.Viruses can replicate outside of a cell.Viruses are larger than bacteria.Viruses are made of RNA or DNA.Viruses have a protein coat.