A group of student athletes were asked which organized sport they participate in. Each athlete participates in exactly 1 sport. The results are shown in this frequency table.

How many more athletes play in the sport that has the greatest number of participants than in the sport that has the least number of participants?

Enter your answer in the box.


Sport Number of participants
Soccer 14
Baseball 12
Tennis 6
Lacrosse 10
Basketball 9
Hockey 8

Step-by-step explanation:

So when it says ration from men to women is 4/5, men is 4 and women is 5.

You know that there are 60 men and you need to find the number of women.

The equation you would use is:

4 X ?= 60

then do ? X 5= the answer

Hope this helps.

Answer:12

Step-by-step explanation: There is 1000g in one kilogram, so it takes four bags of marshmallows to get 1 kilogram. This means that you need 2 more kilograms which takes 8 bags. Therefore 12 bags of marshmallows.

The 99.5% confidence interval for a sample of size 353 with a mean of 75.7 and a standard deviation of 6.8 is: (74.94, 76.46)

To calculate the confidence interval, we can use the following formula:

CI = x ± tα/2 * s / √n

In this case, the critical value of the t-distribution for a confidence level of 99.5% is 2.776. Plugging in the other values, we get the following confidence interval:

CI = 75.7 ± 2.776 * 6.8 / √353

CI = (74.94, 76.46)

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Answer:

3 71/100 = 3.71

Step-by-step explanation:

To convert this mixed number (fraction) to a decimal just follow these two steps:

Step 1: divide numerator (71) by the denominator (100): 71 ÷ 100 = 0.71

Step 2: add this value to the the integer part: 3 + 0.71 = 3.71. So,

3 71/100 = 3.71

im not quite sure how to explain it, because im a very messy worker, but I got 71.75.  If youre looking for someone to explain it, im not it lol.

Answer:

2 to the power of 2 +  

Step-by-step explanation:

Distribute

Eliminate redundant parentheses

Subtract the numbers

Combine like terms

Combine like terms... again

Multiply by 1 = 2 to the power of 2 +

Answer:

(32+3+3)−1(2+2+3)(3x^{2}+3x+3)-1(x^{2}+2x+3)

(3x2+3x+3)−1(x2+2x+3)

Simplify

1

Distribute

(32+3+3)−1(2+2+3)(32+3+3)−12−2−32

Eliminate redundant parentheses

(323+3)−12−2−332+3+3−12−2−33

Subtract the numbers

32+3+3−2−2−332+3−12−24

Combine like terms

32+3−12−222+3−25

Combine like terms

22+3−222+16

Multiply by 1

Solution

22+

Answer:

V = π²h

r = √V/πh

r = √13,665.28cm³/(3.14)(17cm)

r =√13,665.28/53.38 cm

r = √256 cm

r = 16 cm

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{21}{7}\ of\ 2\dfrac{1}{2}}\)

\(\mathsf{= \dfrac{21}{7}\times2\dfrac{1}{2}}\)

\(\mathsf{= \dfrac{21}{7}\times\dfrac{2\times2+1}{2}}\)

\(\mathsf{=\dfrac{21}{7}\times\dfrac{4 +1}{2}}\)

\(\mathsf{=\dfrac{21}{7}\times\dfrac{5}{2}}\)

\(\mathsf{=\dfrac{21\div7}{7\div7}\times\dfrac{5}{2}}\)

\(\mathsf{= \dfrac{3}{1}\times\dfrac{5}{2}}\)

\(\mathsf{= \dfrac{3\times5}{1\times2}}\)

\(\mathsf{= \dfrac{15}{2}}\)

\(\mathsf{\approx 7\dfrac{1}{2}}\)

\(\huge\textsf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{7 \dfrac{1}{2}}}\huge\checkmark\) \(\large\textsf{or even}\rightarrow\) \(\huge\boxed{\frak{\dfrac{15}{2}}}\huge\checkmark\)\(\uparrow\large\textsf{Either these should work because they are equal to each other.}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

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Answer:

g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

Step-by-step explanation:

We are given that

\(g(x)=f(x)-7\)

We have to identify  the transformation that occurs to create the graph of g(x).

To identify  the transformation that occurs to create the graph of g(x)

We will subtract the 7 from f(x).

Let f(x) be any function

\(g(x)=f(x)-k\)

It means g(x) obtained by  shift the function f(x) down  k units by subtracting k units from f(x).

Therefore, g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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The most appropriate measure to describe the center is the Median, and the most appropriate measure to describe the variation is the range.

The most appropriate measure to describe the center of the data in the dot plot is the median. The median represents the middle value when the data is arranged in ascending or descending order. In this case, the median is the value that divides the data into two equal halves. As there are 13 values in total, the median will be the seventh value, which corresponds to the value with two dots above it, which is 32 dollars. Therefore, the median accurately represents the center of the data in this case.

The most appropriate measure to describe the variation of the data in the dot plot is the range. The range represents the difference between the maximum and minimum values in a dataset. In this case, the minimum value is 28 dollars (one dot above it) and the maximum value is 38 dollars (one dot above it). Therefore, the range is 38 - 28 = 10 dollars, which indicates the spread or variation of the data.

Hence, the most appropriate measure to describe the center is the median, and the most appropriate measure to describe the variation is the range.

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Answer:

False

Step-by-step explanation:

I'm pretty sure it's false, sry if it's not

Answer:

option A is the correct answer.

Step-by-step explanation:

Stacy is more likely to flip a tails on the second two tries of the experiment, because there are four possible outcomes with tails on the second two tries (HT, TT, HT, TT) out of a total of eight possible outcomes, which gives a probability of 4/8 or 1/2. On the other hand, there are only three possible outcomes with heads on the first try (H**, T**, H, T) out of a total of eight possible outcomes, which gives a probability of 3/8. Therefore, option A is the correct answer.

Answer:

Option A: (5,-2)

Step-by-step explanation:

4x - 3y = 26

3x + 2y = 11

from equ 1 make x the subject formular | equ means equation

4x - 3y = 26

4x = 26 + 3y

x = (26 + 3y)/4

Substitute x = (26 + 3y)/4 into equ 2

3((13+3y)/4) + y = 11

(39+17y)/4 + y = 11

39/4 + 17y/4 + y = 11

39/4 + 17y/4 = 11

17y/4 = 11 - 39/4

17y/4 = -17/2

17/4y/17/4 = -17/2/17/4

y = -2

Substitute y = -2 into equ 2

3x + 2y = 11

3x + 2(-2) = 11

3x - 4 = 11

3x = 11 + 4

3x = 15

3x/3 = 15/3

x = 5

(x,y) = (5,-2)

Rate my answer :)

Answer:

23

Step-by-step explanation:

im sorry i just  want some points but look it up im sure youll figure it out !

Answer:

Step-by-step explanation:

Answer: 240 degrees

Step-by-step explanation: minute hand makes 360 degree circle in hour.

There is no influence for the length of hand in this case.

40 minutes is 2/3 hours. 2/3 ·360 degrees

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Answer:

Step-by-step explanation:

1 km= 1000 m

1 dam= 10 m

8 km= 8000m

700 dam = 7000m

so Plane A

plane A is higher by 700m!

hope it helped!

Plane A  flying with greater altitude

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Given:

plane A= 8 km

plane  B= 700 dam

Now,

1 km= 1000 m

1 dam= 10 m

So,

8 km= 8000m

700 dam = 7000m

Hence, Plane A is flying higher.

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The volume of the solid obtained by rotating the region between the curves x = 2√5y, x = 0, and y = 3 about the y-axis is 36π cubic units.

In calculus, finding the volume of a solid obtained by rotating a region about a line is an important topic. It involves using integration to calculate the volume of the solid.

To find the volume of the solid, we need to use the method of cylindrical shells. This involves taking thin slices of the solid perpendicular to the axis of rotation, finding their volume, and adding them up to get the total volume.

The first step is to sketch the region and the axis of rotation. In this case, the region is bounded by the curves x = 2√5y, x = 0, and y = 3, and the axis of rotation is the y-axis.

Next, we need to express the curves in terms of y. We can rewrite the equation x = 2√5y as y = x²/(20), and since the region is bounded by x = 0 and y = 3, the limits of integration are y = 0 and y = 3.

Now we can set up the integral for the volume using the formula for cylindrical shells:

V = 2π ∫(y)(f(y))dy from a to b,

where f(y) is the distance from the axis of rotation to the curve at a given value of y, and a and b are the limits of integration.

In this case, f(y) is simply the x-coordinate of the curve, which is x = 2√5y. Therefore, we have:

V = 2π ∫(y)(2√5y)dy from 0 to 3

Simplifying and evaluating the integral, we get:

V = 36π

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Answer:

186 mph

Step-by-step explanation:

Miles per hour means miles divided by hour(s), so 558/3 is 186 miles per hour.

Answer:

186 mph in 3 hours, 232.2 in 2.5 hours.

Step-by-step explanation:

You divide the miles by hours, for example, 100 miles in 5 hours, said person would be going 20mph. Hopefully this helps, have a good day, good luck with whatever youre doing !!

Answer:

No Solution

Step-by-step explanation:

perimeter

2√6 - √15 = 4.9-3.9 = 1

-3√3 = -5.19 you can't have a negative length.

and because of that the answer is no solution to both perimeter and area.

if the teacher was just oddly trying to have you show what you know

P = 1+1+ -5.2 - 5.2 = -8.2

A 1x -5.2 = -5.2

Answer:

B.) 36cm2

Step-by-step explanation: I just did it and got it right

Answer:

The answer is \(\frac{9}{40}\) or 0.225

Answer:

well 5X8= 40 and 9 divided by 40= 4.4444444444444444444444444444444

Step-by-step explanation:

Hope that this has helped you out! :)

Step-by-step explanation:

Hey there!

From the given figure;

Angle ABE = 90°.

And angle ABC= [(3x+7)° + (5x+11)°].

Now, Angle ABE + Angle ABC= 180° [Being linear pair].

or, 90° + (3x+7)° + (5x+11)°= 180°

or, (3x+7)° + (5x+11)°= 90°

or, 8x + 18° =90°

or, 8x = 90°-18°

or, X = 9°

Therefore, X= 9°.

Now,

Angle DBC = (5*9+11)°

= 56°

Therefore, the measure of angle DBC is 56°.

Hope it helps!

\(\huge\bold{To\:find:}\)

✎ The measure of ∠ DBC.

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\sf\purple{The\:measure\:of\:∠DBC\:is\:56°. }\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

Since it is right-angle,

\(Sum \: of \: angles \: = 90° \\ ⇢ (3x + 7)° + (5x + 11) ° = 90° \\ ⇢3x° + 7° + 5x° + 11° = 90° \\combining \: the \: like \: terms, \: we \: have \\ ⇢3x° + 5x° + 7° + 11° = 90° \\ ⇢8x° = 90° - 18° \\ ⇢8x° = 72° \\ ⇢x° = \frac{72°}{8} \\ ⇢x° = 9°\)

Substituting the value of \(x°\) in ∠ DBC, we have

\((5x + 11) °\\ = 5 \times 9° + 11 °\\ = 45° + 11° \\ = 56°\)

\(\sf\blue{Therefore,\:the\:measure\:of\:∠DBC\:is\:56°.}\)

\(\huge\bold{To\:verify :}\)

\((3x + 7) ° + (5x + 11)° = 90° \\ \: ➡ \: (3 \times 9 + 7)° + (5 \times 9 + 11)° = 90° \\ ➡ \: 34° + 56° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S\)

Hence verified.

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

The theme is the underlying message, lesson, or central idea conveyed by the narrative or story.

Both a narrative and a story share several common elements that contribute to their structure and presentation. These elements include characters, setting, plot, conflict, and theme.

Characters are essential components of both narratives and stories. They are the individuals or entities that drive the events and experiences within the narrative or story. The setting is the time and place in which the events occur and provide the context for the story.

The plot refers to the sequence of events that unfold and create a structure for the narrative or story. Conflict represents the central problem or challenge faced by the characters and is often a driving force behind the plot's progression.

These shared elements create a framework for both narratives and stories, enabling the development and communication of experiences, ideas, and emotions to the audience. They contribute to the engagement, coherence, and impact of the narrative or story, regardless of the medium or genre in which they are presented.

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Answer:

-6, -3/4

Step-by-step explanation:

The denominator of a fraction cannot equal zero because if this were the case, the fraction would be undefined.