Mathematics High School

The amount of money that high school students spend on fast food each month is usually between $50 and $200. However, there are a few students who do not eat fast food at all. What measure of spread would be most appropriate to measure the amount of money that high school students spend on fast food per month? Mean Interquartile range Range Standard deviation

Answers

Answer 1

The measure of spread that would be most appropriate to measure the amount of money that high school students spend on fast food per month is the range.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The amount of money that high school students spend on fast food each month can vary between $50 and $200, there is a considerable range of possible values.

Additionally, some students may not eat fast food at all, which could further increase the variability in the data.

The range is the difference between the maximum and minimum values in a dataset and provides a simple and straightforward measure of the variability of the data.

Therefore, the measure of spread that would be most appropriate to measure the amount of money that high school students spend on fast food per month is the range.

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Related Questions

The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredths place.

Answers

26^2 = 18.8^2 + H^2
H^2 = 322.56
H = 17.96 inches

The height of the TV for the condition is 17.96 inches.

What is Pythagoras' theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

Given the diagonal of the TV = 26 inches

width of screen = 18.8 inches

let the shape of TV be rectangular

so diagonal divide the rectangle in right triangles,

by Pythagoras' theorem we can find the height,

h² = b² + h²

h =  hypotenuse  = diagonal for given  = 26 inches

b = base = width = 18.8 inches

h = height

(26)² = (18.8)² + h²

h² = 676 - 353.44

h = √322.56

h = 17.96 inches

Hence the height of TV is 17.96 inches.

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Can someone help me find the area of the following figure

Answers

1. The area of the full rectangle is 21 * 28 = 588. We will need this later. 

Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63. 

Now we do the full area of 588 minus the area of the missing triangle piece. 

588 - 63 = 525 ft²

2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7. 

105 + 7 = 112 in²

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2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3
(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.
(b) Would the density of the water change if the aquarium was only half full? Explain.

Answers

(a) NO.
  The table will support a little over 3 ft³ of water. The volume of the aquarium is (3 ft)³ = 27 ft³, substantially larger. Hence the weight of the filled aquarium is substantially more than the table can support.

(b) NO.
  The density of water (mass per volume) at a given temperature is substantially constant. That is, water is regarded as an "incompressible fluid." (Water does compress so that its density increases very slightly at extreme depth, but the effect is not measurable over a depth of 1.5 to 3 feet.) Temperature has a much greater effect on the density of water than does depth.

ank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive property to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3 + 3y2 + ay – 3y2 – ay – 27. What is the value of a in the polynomial?

Answers

Using the distributive property to obtain the product we shall have:
(y – 3)(y2 + 3y + 9) 
=y(y2 + 3y + 9) -3(y2 + 3y + 9) 
=y^3+3y^2+9y-3y^2-9y-27
putting like terms together:
y^3+(3y^2-3y^2)+(9y-9y)-27
=y^3+0y^2+0y-27
=y^3-27

From above bold expression the value of a is: a=9

Determine whether the triangles are similar. If so, what is the similarity statement and the postulate or theorem used?

Answers

To determine the similarity of the triangles, we shall use the proportionality of the corresponding sides:
DH/DE=DG/DF
thus
30/24=40/32
5/4=5/4
since the triangle shares the same angle ∠D, then we can conclude that the triangles are similar by side angle side (SAS) postulate

Answer:

DGH~DFE; SAS~

Step-by-step explanation:

All of the following represent the same expression except _____.

-8ab
-8(a)(b)
8 - ab
-8 · a · b

Answers

all of them are multiplying except for 

8 - ab

looks like subtraction to me

hope that helps
 

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that is not the same as the rest of the expressions is

8 - ab.

Option C is the answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x - 5 is an expression.

4x + 4 is an expression.

4 x 5 - 5x is an expression.

We have,

1) -8ab

2) -8 (a) (b)

= -8ab

3) 8 - ab

4) -8.a.b

= -8ab

We see that,

All the expressions are the same except the expression

8 - ab

Thus,

The expression that is not same with the rest of the expression is

8 - ab.

Option C is the answer.

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A ball is dropped from a height of 12 feet. Each time it bounces, it rebounds 3
4
of the distance it has fallen. How far will it rebound after the third bounce?
A) 0.75 feet
B) 5.0625 feet
C) 6.75 feet
D) 9 feet

Answers

Well the answer is D.9 feet

Final answer:

After calculating the rebound height for each bounce by multiplying the height from the previous bounce by 75%, the ball will rebound to a height of B) 5.0625 feet after the third bounce.

Explanation:

The question is asking how far the ball will rebound after the third bounce. Initially, the ball is dropped from a height of 12 feet. On each bounce, it rebounds to ⅔3 (75%) of the previous height. To solve this, we need to calculate the height achieved on each successive bounce.

First bounce: 12 feet * ⅔3 = 9 feet

Second bounce: 9 feet * ⅔3 = 6.75 feet

Third bounce: 6.75 feet * ⅔3 = 5.0625 feet

Therefore, after the third bounce, the ball will rebound to a height of 5.0625 feet, which corresponds to option B.

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α if α < β. sin(2x − 8) = cos(6x − 6)

Answers

Answer:

The value of angle α is 18 degree.

Step-by-step explanation:

Given information: Angles α and β are the two acute angles , α < β.

Given equation is

[tex]\sin (2x-8)=\cos (6x-6)[/tex]

[tex]\cos (90-(2x-8))=\cos (6x-6)[/tex]        [tex][\because \sin (90-x)=\cos x][/tex]

Equating both sides.

[tex]90-2x+8=6x-6[/tex]

[tex]98+6=6x+2x[/tex]

[tex]104=8x[/tex]

[tex]13=x[/tex]

The value of x is 13.

The measure of angles is

[tex]2x-8=2(13)-8=18[/tex]

[tex]6x-6=6(13)-6=72[/tex]

Since 18<72, therefore the value of angle α is 18 degree.

Answer:

A

Step-by-step explanation:

A rectangle measures 12cm by 7cm. What is its area

Answers

12*7=84
The rectangle is 84cm
Area of a rectangle = width*length = 12*7=84 cm²

AB is dilated by a scale factor of 3 to form A'B' . Point O, which lies on AB , is the center of dilation. The slope of AB is 3. The slope of A'B' is . through point O.

Answers

Given that AB has been dilated by scale factor 3 to form A'B', and by laws of dilation, the image is congruent to the pre image. This implies that the image will not change in any way whatsoever apart from the size. Hence the slope will remain the same. That means the slope of A'B' will be 3

The slope will remain the same, So the slope of [tex]A'B'[/tex] will be [tex]3[/tex].

Step-by-step explanation:

Given: [tex]AB[/tex] is dilated by a scale factor of [tex]3[/tex] to form [tex]A'B'[/tex] . Point [tex]O[/tex], which lies on [tex]AB[/tex], is the center of dilation. The slope of [tex]AB[/tex] is [tex]3[/tex].

As mentioned in question:

Given that [tex]AB[/tex] has been dilated by scale factor [tex]3[/tex] to form [tex]A'B'[/tex].

So using laws of dilation, the image is congruent to the pre image.

This implies that the image will not change in any way whatsoever apart from the size.

Hence, the slope will remain the same, So the slope of [tex]A'B'[/tex] will be [tex]3[/tex].

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What is the value of b?
Round your answer to the nearest tenth.
15.7 yd
24.1 yd
35.1 yd
36.2 yd
The figure shows acute triangle A B C. The measure of angle B is 34 degrees. The length of side A B is 28 yard. The length of side B C is 22 yard. The length of side C A is b.

Answers

Do do this problem, you need to use the Law of Cosines!

You are trying to find length b, so

b^2 = a^2 + c^2 - 2ab cos B
b^2 = 22^2 + 28^2 - 2(22)(28) cos 34
b^2 = 484 + 784 - 1232 cos 34
b^2 = 1268 - 1232 cos 34
b^2 = 246.6257
b = 15.7 yards

Hope this helps!

Answer:

A. 15.7 yards.

Step-by-step explanation:

Please find the attached file.

We have been given that in triangle ABC, the measure of angle B is 34 degrees. The length of side AB is 28 yards and the length of side BC is 22 yards. The length of side CA is b.

We will use law of cosines to find the length of side 'b'.

[tex]c^2=a^2+b^2-2ab\times cos(C)[/tex]

Upon substituting our given values in above formula we will get,

[tex]CA^2=22^2+28^2-2\times 22\times 28\times cos(34^{\circ})[/tex]

[tex]CA^2=484+784-1232\times 0.829037572555[/tex]

[tex]CA^2=1268-1021.37428938776[/tex]

[tex]CA^2=246.62571061224[/tex]

Taking square root of both sides we will get,

[tex]CA=\sqrt{246.62571061224}[/tex]

[tex]CA=15.70432139929\approx 15.7[/tex]

Since the length of side CA is b, therefore, the value of b is 15.7 yards and option A is the correct choice.

For one History test, John had to answer 45 questions, John answered 33 of them correctly. What percent did John get on his history test? Round your answer to the nearest tenth if necessary.
PLEASE SHOW WORK!!!

Answers

33÷45=.733 ×100 = 73%

Keisha can jog 2 miles in 24 minutes. At the same rate , how many miles can she jog in 60 minute

Answers

In 24 minutes Keisha jogs 2 miles . So in 60 minutes she will jog  (2/24) x 60 =5 miles . In 12 minutes she jogs 1 mile . so in 60 minutes it will be 5 miles.

At a carnival, Brian bought 9 packs of 16 tickets each. He uses 39 tickets so far . how many tickets does he have left

Answers

The number of tickets left after using 39 tickets is 105.

What is multiplication?

Multiplication is the process of adding a number up to a given number

Given that, there are 9 packs and there are 16 tickets in each pack.

Therefore, the total number of tickets is:

16 × 9

= 144

Now, the number of available tickets after using 39 tickets:

144 - 39

= 105

Hence, the number of tickets left after using 39 tickets is 105.

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The lenght of a rectangle is twice its width. The area of the rectangle is 18 square centimeters. Find the perimeter of the rectangle?

Answers

Let x = width
2x = length as given in the description

Area of a rectangle is length * width so we do:

2x(x) = 18
2x² = 18

Divide by 2 to isolate our variable:

x² = 9
√x² = √9
x = 3

Length = 6, width = 3

Perimeter = (Length * 2) + (Width * 2)

We plug in our new information to find the perimeter.

P = (6*2) + (3*2) 
= 12 + 6
= 18

The perimeter of the rectangle is 18 centimeters. Ironically, matching its area. 
Answer: 18cm

∞∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞∞

Width = W
Length = 2W
Area = 18 cm²

Area = Length x Width
18 = 2W x W
18 = 2W²
W² = 18 ÷ 2 = 9
W = √9
W = 3

Perimeter = 2(Length + Width) = 2(3 + 2(3)) =  2(9) = 18 cm


What’s the answer to question 13

Answers

The answer is choice C. There simply aren't enough games played at the end of April to determine how well or how badly a player is hitting. The sample size is too small. By the end of September, we have a much better idea. The larger the sample size, the better. 

What is the value of y?

I think the hypotenuse is 8 and if it is, am I supposed to do
C^2 - B^2 = A^2?

Answers

check the picture below.

make sure your calculator is in Degree mode.
You actually aren't supposed use to the Pythagorean Theorem. You are supposed to implement the trigonometry functions.

The angle, 60, is directly opposite with what you're trying to find, y. Also since you have another side of the triangle that is identified, you can figure what trig function to use. The line next to the angle is the adjacent. We have the adjacent and opposite. The trig function that implements both sides is the Tangent. The formula for it is tangent(angle) = opposite/adjacent.

Now substitute the number into the formula.

tan(60) = y / 5

We need to isolate y, so we times 5 and tan(60)

tan(60) x 5 = 8.66

y is now isolated and the answer is 8.66 = y

Solve x2 + 10x + 12 = 36 for x. x = â12 or x = 2 x = â11 or x = 1 x = â2 or x = 12 x = â1 or x = 11

Answers

The answer is number A: â12 or x = 2

Which pair of numbers are not opposites? Select one: a. |7| and -7 b. 72 and -72 c. 27 and |-27| d. 27 and -27

Answers

Answer is choice C

|-27| = 27 which is positive and not negative
Saying "27 and |-27|" is the same as saying "27 and 27". We can replace |-27| with 27 as they are equal. In order for them to be opposites, one has to be negative and the other positive; however, both are positive.

find the probability that a student chosen at random plays football or cricket or both

Answers

42/46= 91% or 21/23 or .91

4. Find the diameter of the circle for BC = 10 and DC = 23. Round to the nearest tenth. The diagram is not drawn to scale. (1 point) 62.9 52.9 7.7 42.9

Answers

Look at the picture.
Use Pythagorean theorem:
[tex]r^2+23^2=(r+10)^2\\\\use\ (a+b)^2=a^2+2ab+b^2\\\\r^2+529=r^2+2\cdot r\cdot10+10^2\\\\r^2+529=r^2+20r+100\ \ \ |subtract\ r^2\ from\ both\ sides\\\\529=20r+100\ \ \ \ |subtract\ 100\ from\ both\ sides\\\\20r=429\ \ \ |divide\ both\ sides\ by\ 20\\\\r=21.45[/tex]
The diameter d = 2r, therefore
[tex]d=2\cdot21.45=42.9[/tex]

A barn is an atomic unit of area equal to 10–28 m2. what is the surface area of the earth expressed in units of barn? assume the earth is a sphere with a radius of km. (the surface area of a sphere is 4πr2.)​

Answers

the complete question in the attached figure

we  know that
surface area of a sphere=4*pi*r²
for r=6380 km------->r=6380 x 10^3 m

surface area of of the earth=4*pi*(6380 x 10^3)²-----> 511506576035121,52 m²

if 1 barn is equal to-------------> 10^(-28) m²
x barn----------------------> 511506576035121,5
x=511506576035121,5/(10^(-28))------> x=5.12 x 10^42 barn

the answer is
5.12 x 10^42 barn


If x varies directly as y, and x = 48 when y = 16, find x when y = 5.

A) 5/3

B) 153.6

C) 15

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above: x varies directly as y. When x is 48, y is 16.

 2. Keeping the information above on mind, you have:

 y=x/k

 Where k is the constant of variation

 3. Then, the value of k is:

 k=x/y
 k=48/16
 k=3

 4. Therefore, when when y=5, the value of x is:

 y=x/3
 x=(5)(3)
 x=15

 5. Then, as you can see, the correct answer is the last option (Option C), which is:

 C. 15

HELP IM GIVING 20 POINTS AND BRAINLY


What is the correlation coefficient r for the data set?



Enter your answer to the nearest hundredth in the box.

r =

x     y
25 240
26 242
27 230
28 229
28 220
28 219
29 200
30 202
31 184
32 180

Answers

we know that

using a excel tool
see the attached table

the correlation coefficient r for the data set is
r=-0.96

the answer is
-0.96

we know that

using a excel tool

see the attached table

the correlation coefficient r for the data set is

r=-0.96

the answer is

-0.96

PLEASEEE PLEASSE HELP!! BRANLIEST!!!PLEASEEE

Triangle XYZ is formed by the three squares J, K, and L:



Which statement best explains the relationship between the sides of triangle XYZ?

XY + YZ = ZX, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 202 + 122 = 162
XY + YZ = ZX, because 202 + 122 = 162


Answers

I would say B is the correct answer because of the Pythagorean theorem.
a^2 + b^2 = c^2
XY^2 + YZ^2 = ZX^2
12^2 + 16^2 = 20^2
144 + 256 = 400

My best guess is B.

Hope this helps =)

Triangle XYZ is formed by the three squares J, K, and L

So it is a right triangle.

Pythagorean Theorem: a^2 + b^2 = c^2

Answer:

(XY)^2 + (YZ)^2 = (ZX)^2, because 144 + 256 = 400



Is (3, 2) a solution to this system of equations?
8x + 7y = 37
2y = 4x - 2

Answers

if x = 3 and y =2 then 8x+7y= 38
and 2y = 4x is correct

hope it helps :)

edit i was incorrect about second answer it would be 

2y =4x-4

The figure below shows a shaded circular region inside a larger circle:

A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.

What is the probability that a point chosen inside the larger circle is not in the shaded region?

24%

36%

50%

64%

Points earned on this question: 0

Answers

To find the probability of choosing a point NOT in the shaded region, you will need to find the area of the part of the figure that is not shaded when compared to the total area of the larger shape.

1.  To find the area of the unshaded region, you will subtract the area of the larger circle and the area of the smaller circle.

A = pi x r^2            -       
      3.14 x 5^2    -      3.14 x 4^2
       78.5  - 50.24
Area of the unshaded is 28.26 square inches.

Area of unshaded          28.26
Area of large circle   =   78.5

Divide these to find the probability.

0.36 is 36% probability.

The probability if 36%.

Answer:

36%

Step-by-step explanation:

Jill recorded the average number of gallons of water that she used on her garden each day during different months. The chart below displays her records.
 
Month
Gallons Per Day
March
35
April
37
May
42
June
55
July
65
August
34
September
24
 
When does Jill’s chart show the greatest increase in the gallons used per day?



 
A.
May to June


 
B.
June to July


 
C.
July to August


 
D.
March to April

Answers

The correct option is A.
In the month of May, Jill used an average of 42 gallons of water while in the month of June, he used an average of 55 gallons of water. This shows that there was an increase of 13 gallons of water used in June compared to May.
The month of July to August shows the highest decrease in the number of gallons of water used per day.

Mark placed a pool in his backyard which is enclosed by a triangular fence the radius of the pool is 20.5 feet. How backyard is not covered by the pool

Answers

The area of the pool is 1320.25

 Ill Mark Brainliest if you answer correctly. The figure below shows a shaded circular region inside a larger circle:

A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.

What is the probability that a point chosen inside the larger circle is not in the shaded region?

24%

36%

50%

64%

Answers

First we have to find the areas of both circle using the formula

[tex] Area = \pi r^2 [/tex]

For larger circle,

[tex] Area= \pi(5)^2 = 25 \pi [/tex]

For smaller circle,

[tex] Area = \pi (4)^2 = 16 \pi [/tex]

Required probability

[tex] = \frac{25 \pi -16 \pi}{25 \pi} *100 = \frac{9}{25}*100 = 36% [/tex]

Correct option is the second option .

Answer:

the other person is correct

Step-by-step explanation:

give them brainliest

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