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stepan [7]
3 years ago
8

Elliot has 5 boxes of apples. There are 4,143 apples in total. Estimate the number of apples in each box.

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0
Well. Since 4,143 is closer to 4,000 when rounded, you would divide 4,000÷5 which equals 800. So approximately 800 apples in each box of apples.

Hope this helped! :)
Karo-lina-s [1.5K]3 years ago
5 0
The answer is 828 apples. There are 828 apples in each of the five boxes.
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In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacem
Damm [24]

Answer:

a) P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) = 0,7120   or 71,2 %

c) P(C) = 0,2055  or P(C) = 20,55 %

Step-by-step explanation:

We will use two concepts in solving this problem.

1.- The probability of an event (A) is for definition:

P(A) = Number of favorable events/ Total number of events FE/TE

2.- If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

a) The total number of events is:

C ( 24,4) = 24! / 4! ( 24 - 4 )!    ⇒  C ( 24,4) = 24! / 4! * 20!

C ( 24,4) = 24*23*22*21*20! / 4! * 20!  

C ( 24,4) = 24*23*22*21/4*3*2

C ( 24,4) = 24*23*22*21/4*3*2    ⇒  C ( 24,4) =  10626

TE = 10626

Splitting the group of tanks in two 6 with h-v  and 24-6 (18) without h-v

we get that total number of favorable events is the product of:

FE = 6* C ( 18, 3)  = 6 * 18! / 3!*15!  =  18*17*16*15!/15!

FE =  4896

Then P(A) ( 1 tank in the sample contains h-v material is:

P(A) = 4896/10626

P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) will be the probability of at least 1 tank contains h-v

P(B) = 1 - P ( no one tank with h-v)

Again Total number of events is 10626

The total number of favorable events for the ocurrence of P is C (18,4)

FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!

FE = 18*17*16*15/4*3*2  = 3060

Then P = 3060/10626

P = 0,2879

And the probability we are looking for is

P(B) = 1 - 0,2879

P(B) = 0,7120   or 71,2 %

c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i

having 4 with t-i tanks is:

reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:

FE = 6*4* C(14,2) = 24 * 14!/12!*2!

FE = 24* 14*13*12! / 12!*2

FE = 24*14*13/2    ⇒  FE = 2184

And again as the TE = 10626

P(C) = 2184/ 10626

P(C) = 0,2055  or P(C) = 20,55 %

5 0
3 years ago
Drag each tile to the correct box.
Zielflug [23.3K]

The amount of heat depends on three factors:-

#Mass of the material used in bowls.

#Specific heat capacity of the material used in bowls.

#Temperature change.

So, (change in energy) = (mass) x (specific heat capacity) x (temperature change)

Temperature Change = (Change in energy) / (mass x specific heat capacity)

It says "The bowls start at the same temperature, and then the same amount of heat is added to each bowl". It means temperature change varies inversely with product of mass and specific heat capacity.

Higher the product of mass and specific heat capacity, Lower the temperature change, Cooler the bowl will be.

Water’s specific heat capacity is 4.186 joules/gram degree Celsius. Mercury’s specific heat capacity is 0.140 joules/gram degree Celsius.

Water and mercury are put into three identical bowls:

#Bowl A contains 20 grams of water.

#Bowl B contains 40 grams of water.

#Bowl C contains 20 grams of mercury.

So, we have (40g x 4.186 J/g) > (20g x 4.186 J/g) > (20g x 0.140 J/g)

It means temperature change in <u>Bowl B < Bowl A < Bowl C.</u>

<u>Hence, Order of the bowls from coolest to warmest, based on their final temperatures would be</u><u> Bowl B < Bowl A < Bowl C.</u>

6 0
3 years ago
What is the fraction in simplest form?
olya-2409 [2.1K]

Answer:

7/8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
For every 6,000 batches of 100 cards that are printed, she examines every 100th batch to make sure the logo is aligned and the m
Gennadij [26K]

Using sampling concepts, the population and the sample are given as follows:

d. population: 6,000 batches of 100 cards sample: every 100th batch.

<h3>What is sampling?</h3>

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a <u>group containing elements of a population</u>. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:

  • The population is: All New York State residents.
  • The sample is the 1000 randomly selected New York state residents.

Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.

More can be learned about sampling concepts at brainly.com/question/25122507

#SPJ1

3 0
1 year ago
Which is the solution set of 7y +1&gt; 8y- 9?
fomenos

Answer:

y < 10 or (10, -∞)

Step-by-step explanation:

7y + 1 > 8y - 9

Simply get the y's on the right by subtracting 7y from both sides:

1 > y - 9

then adding 9 to both sides:

y < 10

or in interval notation:

(10, -∞)

7 0
2 years ago
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