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2 months ago

The data set represents the total number of people who bought bananas each hour at a grocery store.

Mathematics

2 answers:

Inessa [12.5K]2 months ago

7 0

Box A represents the provided data. Step-by-step explanation: The data reflects the total number of customers who purchased bananas each hour at a grocery store: 1, 1, 5, 5, 7, 8, 8, 10, 12. To determine: Which box plot accurately depicts the data? Solution: The data given is 1, 1, 5, 5, 7, 8, 8, 10, 12. From this data we can deduce that the Median is 7, the Upper quartile is from the values 1, 1, 5, 5 where the Median for this quartile is 3. The Lower quartile includes 8, 8, 10, 12, where its Median equals 9. Consequently, the box that shows a range of 1 to 12, with the lower line at 3, the median line at 7, and the lower quartile line at 9 is represented by box A. Thus, Box A depicts the given data.

lawyer [12.5K]2 months ago

6 0

It's A. I just finished the quiz.

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A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units

PIT_PIT [12445]

Step $1$

Calculate the volume of a cylinder

We understand that

the volume of a cylinder can be expressed as

$V1=\pi r^{2} h$

In this scenario

$r=8\ units \\ h=15\ units$

Insert the values

$V1=\pi 8^{2} 15$

$V1=960\pi\ units^{3}$

Step $2$

Calculate the volume of a cone

We are aware that

the volume of a cone equals

$V2=\frac{1}{3}\pi r^{2} h$

In this example

$r=8\ units \\ l=17\ units \\ h=?$

Use the Pythagorean Theorem to determine the height h

$h^{2} =l^{2}-r^{2}\\ h^{2} =17^{2}-8^{2}\\ h^{2}=225\\ h=15\ units$

$V2=\frac{1}{3}\pi 8^{2} 15\\ \\ V2=320\pi \ units^{3}$

Step $3$

Calculate the empty volume inside the cylinder

$V1-V2=960\pi -320\pi =640\pi \ units^{3}$

Thus

the final result is

the empty volume inside the cylinder is $640\pi \ units^{3}$

6 0

2 months ago

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Suppose AB⎯⎯⎯⎯⎯⎯⎯ and CD⎯⎯⎯⎯⎯⎯⎯⎯ have the same length. Which statements are expressed correctly? I. AB⎯⎯⎯⎯⎯⎯⎯ = CD⎯⎯⎯⎯⎯⎯⎯⎯ II. A

zzz [12365]

Answer:

II AB = CD

Step-by-step explanation:

|AB| = |CD|

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2 months ago

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14. Marian wants to buy a double scoop of ice cream. The ice cream shop has 23 flavours, which can be served in a regular cone,

lawyer [12517]

Answer:

Marian is able to choose from 1,771 different combinations

Step-by-step explanation:

In tackling this question, we are focused on determining how many combinations Marian can select, considering there are 23 flavors available, each of which can be served in one of three options.

To figure this out mathematically, the total number of combinations is represented as 23C3

Calculating this gives us 23!/(23-3)!3! = 23!/20!3! = 1,771

Thus, she can order a total of 1,771 combinations

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2 months ago

Which phrase represents the algebraic expression StartFraction 3 p + 6 Over 7 p minus 9 End Fraction? the sum of six times a num

AnnZ [12381]

Answer:

The expression representing the sum of three times a number and six, over the difference of seven times that number and nine

Step-by-step explanation:

we have

$\frac{3p+6}{7p-9}$

Let

p -----> the variable

we understand that

In the numerator we have (3p+6)

The statement that corresponds to this algebraic representation is "The sum of three times a number plus six"

The denominator is (7p-9)

The statement that corresponds to this algebraic representation is "The difference of seven times the number and nine"

therefore

The statement that represents this problem is "The sum of three times a number and six, divided by the difference of seven times the number and nine"

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1 month ago

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