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3 years ago

5

The following list gives the number of public libraries in each of 11 cities. 12, 3, 5, 4, 7, 8, 11, 13, 10, 6, 2 Find the modes

of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

1 answer:

svetoff [14.1K]3 years ago

6 0

2,3,4,5,6,7,8,10,11,12,14

You might be interested in

Mr Coope drives 472 miles in 8 hours. At this rate, how many miles would he drive in 6

KatRina [158]

8hrs = 480mins
6hrs = 360 mins
472/480 = 0.983...
0.983... x 360 = 354
D) 354

6 0

2 years ago

When i muiltplyied 3.675 x 10 i got 36.75. my question is why did the decimal move? and how.

qaws [65]

Answer:

It moved because of this:

Step-by-step explanation:

the number 10 has one 0 in it.

you move the decimal place over how many times depending on how many 0s there are, so because there is <u>one</u><u> </u>0 in 10, you move it over <u>once</u>.

hope this helped!

3 0

3 years ago

The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?

Darina [25.2K]

Answer:

25 and 18

Step-by-step explanation:

Let's say that the first number is x and the second one is y.

First, the difference between them is 7, so x-y=7

Next, the sum of their squares is 949, so x²+y² = 949

We have

x-y=7

x²+y²=949

One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there

Adding y to both sides in the first equation, we have

x = 7 + y

Plugging that into the second equation for x, we have

(7+y)²+ y² = 949

expand

(7+y)(7+y) + y² = 949

49 + y² + 7y + 7y + y² = 949

combine like terms

2y² +14y + 49 = 949

subtract 949 from both sides to put this in the form of a quadratic equation

2y² + 14y - 900 = 0

divide both sides by 2

y² + 7y - 450 = 0

To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.

The factors of 450 are as follows:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have

y² + 25y - 18y - 450 = 0

y(y+25) - 18(y+25) = 0

(y-18)(y+25) = 0

Solving for 0,

y-18 = 0

add 18 to both sides

y=18

y+25 = 0

subtract 25 from both sides

y= -25

As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so

x-18 = 7

add 18 to both sides to isolate x

x = 25

7 0

2 years ago

Write an equation for a slope of -2 And y-intercept of 7

larisa86 [58]

Y=-2x+7 That is the equation written in y=mx+b formula

4 0

3 years ago

Read 2 more answers

Jeannine needs to decide what size to make a rectangular

Harlamova29_29 [7]

Answer:

Total number of possible combinations are 6

Length width

23 dm 2m

21 dm 4 dm

19 dm 6 dm

17 dm 8 dm

15 dm 10 dm

13 dm 12 dm

Step-by-step explanation:

We are given that

Perimeter of rectangular garden=50 dm

Width is even number.

Length is always longer than or equal to width.

Let length of rectangular garden=x

Width of rectangular garden=y

We have to find the possible number of combinations .

Perimeter of rectangular garden= $2(x+y)$

$2(x+y)=50$

$x+y=50/2$

$x+y=25$

If y=2 dm

x=25-2=23 dm

If y=4 dm

x=25-4=21 dm

If y=6 dm

x=25-6=19 dm

If y=8 dm

x=25-8=17 dm

If y=10 dm

x=25-10=15 dm

If y=12 dm

x=25-12=13 dm

If y=14 dm

x=25-14=11 dm

x<y

It is not possible

Then, possible combinations are 6

Length width

23 dm 2m

21 dm 4 dm

19 dm 6 dm

17 dm 8 dm

15 dm 10 dm

13 dm 12 dm

5 0

2 years ago