A manufacturer of breakfast cereals is considering the following two designs for cereal boxes.


The manufacturer wants to pick the package that will use the least cardboard packaging for a given volume of cereal.

Calculate the surface area and volume of each cereal box. Which one should the manufacturer use?

The manufacturer should use Box _______.

Answer:

It is true, since you would not be able draw a trend line to it, and there is no relative frequency in the graph.

Answer:

8.5

Step-by-step explanation:

according to the image

10-4=6

6 x 75%=4.5

4+4.5= 8.5

Answer:

The correct answer would be choice A: 94, 98 , 96, 100, 97

The mean is the best measure of central tendency when the values are close together and there are no outliers. Choice A is the only set with no outliers. The rest of the sets have an outlier which will skew the mean.

Step-by-step explanation:

it might be wrong but i am pretty sure

hope it helped;)

Hello !

odd = 5, 7, 9

There are 3 numbers out of a total of 5:

3/5 = 0,6 = 60%

Answer is 60%.

Answer:

Tom and Juanita will be 68 miles apart.

Step-by-step explanation:

16 x 2 = 32 miles

18 x 2 = 36 miles

36 + 32 = 68 miles

Answer:

Sure.

Tom and Juanita are moving in opposite directions, so their speeds are added together. Their combined speed is 16+18=34 mph.

If they travel for 2 hours at a speed of 34 mph, they will travel a distance of 34×2=68 miles.

Therefore, they will be 68 miles apart in 2 hours.

Is there anything else I can help you with?

Step-by-step explanation:

Answer:

1200 square inches

Step-by-step explanation:

Surface area of right triangular prism:

       [tex]\boxed{\text{\bf Surface area of right triangular prism = bh + $\bf (s_1 + s_2+s_3)* l$}}[/tex]

                 b = base of the triangle = 30 in

                 h = altitude of the triangle = 8 in

                 [tex]\sf s_1, ~ s_2, ~ s_3 \ are \ the \ sides \ of \ the \ triangle.\\\\s_1 = 17 \ in, \ ~~ s_2 = 17 \ in, ~~ s_3 = 30 \ in[/tex]

                 l = length of the rectangle = 15 in

Surface area of right triangular prism = 30*8 + (17 +17 + 30) * 15

                                                               = 30*8 + 64 *15

                                                               = 240 + 960

                                                              = 1200 square inches

Answer: it is going to be 24

Step-by-step explanation:

To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]

The maximum value is 8, and the minimum value is 1.

[tex]\text{Range} = 8 - 1 = 7[/tex]

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]

The maximum value is 10, and the minimum value is 1.

[tex]\text{Range} = 10 - 1 = 9[/tex]

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

[tex]\text{IQR} = Q3 - Q1[/tex]

[tex]\text{IQR} = 4 - 2 = 2[/tex]

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

[tex]\text{IQR} = Q3 - Q1[/tex]

[tex]\text{IQR} = 5 - 1.5 = 3.5[/tex]

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

The maximum value is 8, and the minimum value is 1.

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

The maximum value is 10, and the minimum value is 1.

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

♥️ To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

The maximum value is 8, and the minimum value is 1.

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

The maximum value is 10, and the minimum value is 1.

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

♥️

Step-by-step explanation:

1/3 filler words  im smart filler words i failed geometry filler words  i think its right filler words  

Answer:

1/3

Step-by-step explanation:

Answer:

9 times

Step-by-step explanation:

The number 15 multiplied to the number 9 which gives the value 135.

To find the that how many 15 is to get 135, division should be performed.

So, dividing 135 by 15 gives:

= 135 ÷ 15

                         15 | 135 | 9

                                135

                            _______

                                   0

Thus, the quotient is 9.

Therefore, 15 goes into 135 exactly 9 times.

Learn more about Division here:

https://brainly.com/question/2273245

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Step-by-step explanation:

an acute angle is less then 90 degrees, a right angle is 90 degrees, an obtuse angle is more than 90 degrees, a straight angle is 180 degrees, and a reflex angle is more than 180 degrees but less then 360 degrees

Answer:

If I am thinking correctly its 72.

Step-by-step explanation:

I multiplied 9 x 8 and I got 72, and if I remember correctly your supposed to multiply to get the area.

Hope this helps :>

Answer:

Subtract the two diameters and multiply by 3107-11-05-20-05-task

Calculate the circumference of the coin.

Subtract the circumference of the hole from the circumference of the coin.

Calculate the radius of the hole.

Step-by-step explanation:

Answer: 2,000,000 or 2*10^6

Step-by-step explanation:

10*10^9 = 10000000000

5*10^3 = 5000

10000000000/5000=2000000

[tex]10x10^9[/tex] = 10 x 1000000000 = 10,000,000,000

5 x 10^3 = 5 x 10 x 10 x 10 = 5,000

Divide 10 x 10^9 / 5 x 10^3 and the answer is

2 x 10^6

I hope this helps you, and if I did anything wrong to this problem, please do let me know :)

Answer: 120 feet sqaured

Step-by-step explanation:

Surface area for square pyramid formula: 2bh + b^2

Base = 6  Height = 9

2*6*9+6^2 =

108+12 =

120

Answer:

120 feet squared

Step-by-step explanation:

Answer:

81 miles

Step-by-step explanation:

Day 1

3/8---15 miles

1/8---5 miles

8/8---40 miles

Day 2

3/5---18 miles

1/5---6 miles

5/5---30 miles

Day 3

6/11---6 miles

1/11---1 mile

11/11---11 miles

Total: Day 1 + Day 2 + Day 3

40+30+11=81

Firstly, you have to understand that if you talk about slope is a similar word gradient of the graph. So if you are calculating slope you have to use gradient formula:

m= Y2-Y1

X2-X1

therefore, in order for you getting first box & second box you have to use this formula above.

First box answer is:

Points fromthegraph (-2:-2) & (-3:-3)

m= Y2-Y1

X2-X1

m = -3-(-2)

-3-(-2)

m = 1

Second box answer is:

Points fromthegraph (3:3) & (4:4)

m= Y2-Y1

X2-X1

m= 4-3

4-3

m= 1

Third box answer is:

= 4

Forth box answer is:

= -3

Answer:

Step-by-step explanation:

2=1

3=3

4=2

5=1

6=3

7=5

8=2

9=4

Answer:

50

Step-by-step explanation:

21.5%+28.5%+13%+27%=90%

100%-90%=10%

however there are 500 students in the school so you have to work out 10% of 500.

10% of 500 = 50

Answer:

50

Step-by-step explanation:

21.5%+28.5%+13%+27%=90%

100%-90%=10%

however there are 500 students in the school so you have to work out 10% of 500.

10% of 500 = 50

Answer:

3 units down

Step-by-step explanation:

J(-1, -5) → J'(-1, -8)

The x coordinate of the vertex J is -1 and does not change in J' (it is still -1)

The y coordinate of J is -5, and for J' is -8.  This means the translation direction of 3 units down.  (-8- -5 = -3)

So basically you use this formula to find the best-guessed height and length of the rectangular prism.

1029/7√=

147√=

12.12436

So the best-guessed height and length were both 12.12436.

Now take this info you learned from calculating the best-guessed height and length of the left prism. We are now going to use 12.12436 as the height and length for the right prism. Now make sure to use the order of operations rule "PEMDAS" to solve this equation. If you don't you will get the wrong answer.

12.12436(8)²=

147(8)=

1176

So the best-guessed volume of the right prism is 1176.

So basically what you have to do is divide 1029 by the solution of    height×width which will give you your length.

1029/(14×7)=

1029/98=

10.5

So the best-guessed length of the left prism is 10.5.

Now you will use this info to solve your problem

14×8×10.5= 1,008

1008/8√=

126√=

11.22497

So the best-guessed height would be 11.22497.

I might need help with this part :)

The total distances you traveled to reach your destination on each day of your three-day trip are as follows:

a) Day 1 = 40 miles

b) Day 2 = 30 miles

c) Day 3 = 11 miles.

The total distances are determined using proportions.

Proportion refers to the fractional value of the whole number or quantity.

a) Day 1:

The fractional distance traveled = ⁵/₈

The remaining distance to travel = 15 miles

15 miles = ³/₈ (1 - ⁵/₈)

Proportionately, the total distance = 40 miles (15 ÷ ³/₈)

b) Day 2:

The distance traveled = 18 miles

The remaining distance to travel = ²/₅

The distance traveled = ³/₅ (1 - ²/₅)

³/₅ = 18 miles

Proportionately, the total distance = 30 miles (18 ÷ ³/₅)

c) Day 3:

The distance traveled = ⁵/₁₁

The distance to travel = 6 miles

The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)

Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)

Learn more about proportions at https://brainly.com/question/1496357.

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Answer:

Question 5: 1

Question 6: -2/3

Question 7: 0.5

Step-by-step explanation:

Answer:

5.y=x+2

6.y=x(-2/3)+5

7.y=x1/2

Step-by-step explanation:

Answer:

Height = 10 cm

Step-by-step explanation:

The volume of a pyramid can be found using the following formula:

[tex]\boxed{\large \textsf{$V=\frac{1}{3}Ah$}} \large \textsf{ where:}\\\\ \normalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \normalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \normalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}[/tex]

Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.

Now, we can plug in our data into the formula:

[tex]\large \textsf{$40=\frac{1}{3}12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\[/tex]

Answer:

The single function to calculate the final cost of the gaming system, including a 15% off discount and a 10% state tax, is: final_cost(c) = 0.935c.

Step-by-step explanation:

To represent the cost of the gaming system before any discounts or taxes, we can use the variable c:

c represents the cost of the gaming system.

To represent the price after the 15% off discount, we need to calculate the discounted price by subtracting 15% of the cost from the original cost:

p = c - 0.15c

Simplifying, we get:

p = 0.85c

Here, p represents the price after the 15% discount has been applied.

To represent the price after the 10% state tax has been added to the discounted price, we need to calculate the price with the added tax:

final_price = p + 0.1p

Simplifying, we get:

final_price = 1.1p

Here, final_price represents the price after the 10% state tax has been added.

Therefore, the correct single function to help Indiana calculate the final cost is:

final_cost(c) = 1.1(0.85c)

Simplifying further:

final_cost(c) = 0.935c

Answer:

P(factor of 20) = P(5) = 1/3

Step-by-step explanation:

The factors of 20 are

1 and 20

2 and 10

4 and 5

or 1, 2, 4,  5, 10, 20

In the spinner wheel, only 5 appears as a factor of 20

Since there are 3 numbers and each of them is equally likely, P(any number landing is) = 1/3

P(5) = 1/3

With scatter plots.