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3 years ago

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

Mathematics

2 answers:

-Dominant- [34]3 years ago

7 0

Answer:

Box A represent the given data.

Step-by-step explanation:

Given : Given : The data set represents the total number of people who bought bananas each hour at a grocery store 1, 1, 5, 5, 7, 8, 8, 10, 12.

To find : Which box plot correctly represents the data.

Solution : We have given that data 1, 1, 5, 5, 7, 8, 8, 10, 12.

We can see from data

Median : 7

Upper quartile : 1 ,1, 5, 5.

Median of upper quartile : $\frac{1+5}{2}$ = 3.

Lower quartile : 8, 8, 10, 12.

Median of lower quartile : $\frac{8+10}{2}$ = 9.

So, the box which show the range from 1 to 12

and lower box line at 3 and middle line at 7 for median and lower line at 9

represent by the box A.

Therefore, Box A represent the given data.

balandron [24]3 years ago

6 0

It's A. i just took the quiz.

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A football field is 1000 yards long.Each if the two end zones adds an extra 10 yards . The field is 160 feet wide . What is the

Kobotan [32]

Answer:

The area of the whole field is 54400yd^2

Step-by-step explanation:

says that I add 10 yards in each zone, that means that 10 yards is added twice at 1000 yards

1000yd + 2*10yd = 1020yd

we have to know that one yard equals 3 feet

so to have the length in feet we only multiply it by 3

1020 * 3 = 3060ft

Now that we know the length and width of the court, we can calculate the area by multiplying them

a = b * h

a = 3060ft * 160ft

a = 489600 ft^2

the result is in square feet

if we want it in square yards we just have to divide 2 times by 3

489600/(3*3) = 54400yd^2

7 0

3 years ago

Read 2 more answers

2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Musya8 [376]

Answer:

The common difference d is d = -3

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: $a_n=a_1+(n-1)d$

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

$a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3$

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: $a_n=a_{n-1}+d$

We have found common difference d = -3

So, the recursive formula will be:

$a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3$

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

6 0

3 years ago

Is 4y=16x a Direct variation

gizmo_the_mogwai [7]

In the given equation, as the value of y increase, the value of x also

increases.

Yes, 4·y = 16·x is a direct variation

Reasons:

A direct variation is a relationship that exists between two variables. It is

also known as a direct proportion which can be expressed as; y = k·x

Where k is a number

The given equation is 4·y = 16·x

Dividing both sides by 4 gives;

$\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}$

Which gives;

y = 4·x

Comparing the above equation with the equation for a direct variation gives;

y = 4·x

y = k·x

Therefore;

k = 4

The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.

Learn more about direct variation here:

brainly.com/question/6499629

6 0

2 years ago

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

3 years ago

Three sister shared $3.60 equally. how much did each sister get?

Igoryamba

Each sister got $1.20

7 0

3 years ago

Read 2 more answers