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NNADVOKAT [17]
3 years ago
14

Jeremiah built a box that was 5 inches long by 6 inches wide by 7 inches high .he started filling it up with 1 cube.he realized

quickly that he did not have nearly enough cubes to fill the box .can he still figure out how many cubes it will hold?
Mathematics
1 answer:
Degger [83]3 years ago
3 0
To determine the number of cubes he needs to fill the box (this is assuming the cubes are 1 in cubes, he would need to calculate the volume of the box. To find the volume he would multiply the length by the width by the height. This would be 5 in x 6 in x 7 in. The volume is 210 cubic inches, so he could fill it with 210 one inch cubes.
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for every 5 pounds of pasta served , 15 people can be fed. how many people can be fed with 4 pounds of pasta?
Sidana [21]

Answer:

12

Step-by-step explanation:

its direct proportion. 15 divided by 5 is 3 so you must multiply 3 by 4 to get the amount of people, which is 12

7 0
3 years ago
the united states has 12,383 miles of coastline.if 0.8% of the coastline is located in georgia,about how many miles of coastline
Sever21 [200]

Answer:

825.5 miles of coastline

Step-by-step explanation:

The United States has 12383 miles of coastline.

0.8% of the coastline is in Georgia

Total number of coastline in Georgia will be

0.8% /100% x 12383

0.0667 x 12383

825.5

So there are 825.5 miles of coastline Georgia

6 0
2 years ago
What fraction of £2 is 20 pence
lana [24]
£1 = 100p
£2 = 2 · 100p = 200p

20p = 20/200 = 1/10

3 0
3 years ago
Explain the difference between a stratified sample and a cluster sample. (Select all that apply.) In a cluster sample, the only
ziro4ka [17]

Answer:

  • In a cluster sample, every sample of size n has an equal chance of being included.
  • In a stratified sample, random samples from each strata are included.
  • In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included.
  • In a stratified sample, every sample of size n has an equal chance of being included

Step-by-step explanation:

In a stratified sample the population is divided into different segments and then we take random elements from each segment.

In a cluster sample, the sample is divided into segments (or clusters) and then the sample is taken by selecting different clusters.

Therefore, in the cluster sample we take ALL elements from different clusters while in a stratified sample we take SOME elements from the different sections.

Now let's take a look at the options given:

  • In a cluster sample, the only samples possible are those including every kth item from the random starting position: FALSE. In the cluster sample we select all items from the cluster.
  • In a cluster sample, every sample of size n has an equal chance of being included: TRUE. if we divide the sample into clusters of size n then every cluster has an equal chance of being selected (since we select them at random).
  • In a stratified sample, random samples from each strata are included: TRUE. We already said that we take a random sample from each segment (strata).
  • In a stratified sample, the only samples possible are those including every kth item from the random starting position: FALSE. We can apply different methods to select our sample from each strata.
  • In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included. TRUE. This is the definition of cluster sample we wrote at first.
  • In a stratified sample, every sample of size n has an equal chance of being included: TRUE, we take samples from elements, not from stratas.
  • In a cluster sample, random samples from each strata are included: FALSE. This is the definition of stratified sample.
  • In a stratified sample, the clusters to be included are selected at random and then all members of each selected cluster are included: FALSE. This is the definition of cluster sample.

8 0
3 years ago
What are the coordinates of the circumcenter of a triangle with vertices a(0,1), b(2, 1), and c(2, 5)? enter your answer in the
ra1l [238]

The coordinate of the circumcenter of a triangle is (1,3).

Here we have to find the coordinates of the circumcenter of a triangle.

Given data:

The vertices of the triangle are:

A = (0,1)

B = ( 2,1)

C= ( 2,5)

The formula to find the distance between the two points:

Distance = \sqrt{(x2 - x1)^{2} + (y2-y1)^{2} }

In the same manner distance between AB, BC, and AC are:

AB = \sqrt{(2-0)^{2} + (1-1)^{2}  }

    = 2

BC = \sqrt{(2-2)^{2} + (5-1)^{2}  }

      = 4

AC = \sqrt{(2-0)^{2} + (5-1)^{2} }

     = 2√5

So by the Pythagoras, we get to know that the triangle is a right-angle triangle.

The circumcenter of a right-angle triangle is the midpoint of the hypotenuse.

Midpoint of AC = (0+2)/2 , (1+5)/2

                         = 2/2, 6/2

                         = 1,3

Therefore the coordinate of the circumcenter is (1,3).

To know more about the circumcenter refer to the link given below:

brainly.com/question/21299234

#SPJ4

6 0
1 year ago
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