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dybincka [34]
4 years ago
5

Using the number 686293, what is the value of the digit 8

Mathematics
1 answer:
marysya [2.9K]4 years ago
8 0

To find what the value of the digit 8 is, we can start by moving from the right. In a number, the place value goes (from right to left) ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions and so on. Now we can find out what each of the numbers is.

Since 3 is the first, that means 3 is in the ones place.

Since 9 is second, that means that 9 is in the tens place.

Since 2 is third, that means that 2 is in the hundreds place.

Since 6 is fourth, that means that 6 is in the thousands place.

Now, we have 8. Since 8 is fifth, that means that 8 is in the ten-thousands place. But that's not the value of the eight. The value of the 8 would be it's place value (10,000) times 8. 10,000 * 8 = 80,000, so the value of the digit 8 in the number 686293 is 80,000.

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An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of
Liula [17]

Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0
2 years ago
At a 20th high school reunion, all the classmates were asked the number of children they had. The probability of having a partic
finlep [7]

Answer:

a) We need to check two conditions:

1) \sum_{i=1}^n P_i = 1

0.05+0.14+0.34+0.24+0.11+0.07+0.02+0.02+0.01= 1

2) P_i \geq 0 , \forall i=1,2,...,n

So we satisfy the two conditions so then we have a probability distribution

b) P(C \geq 1)

And we can use the complement rule and we got:

P(C \geq 1)= 1-P(C

c) P(C=0) = 0.05

d) For this case we see that the result from part b use the probability calculated from part c using the complement rule.

Step-by-step explanation:

For this case we have the following probability distribution given:

C    0        1        2         3       4       5        6       7        8      

P  0.05   0.14   0.34   0.24  0.11  0.07  0.02  0.02  0.01

And we assume the following questions:

a) Verify that this is a probability distribution

We need to check two conditions:

1) \sum_{i=1}^n P_i = 1

0.05+0.14+0.34+0.24+0.11+0.07+0.02+0.02+0.01= 1

2) P_i \geq 0 , \forall i=1,2,...,n

So we satisfy the two conditions so then we have a probability distribution

b) What is the probability one randonmly chosen classmate has at least one child

For this case we want this probability:

P(C \geq 1)

And we can use the complement rule and we got:

P(C \geq 1)= 1-P(C

c) What is the probability one randonmly chosen classmate has no children

For this case we want this probability:

P(C=0) = 0.05

d) Look at the answers for parts b and c and explain their relationship

For this case we see that the result from part b use the probability calculated from part c using the complement rule.

5 0
3 years ago
What is the volume of the prism?<br> 2 cm<br> 3cm<br> 11 cm PLS HURRY
mafiozo [28]

Answer:

66

Step-by-step explanation:

multiply everything together

4 0
3 years ago
D. Direction: Plot following irrational numbers in the given number line.
Tju [1.3M]

Answer:

<u>Numbers and plot location given below:</u>

<u />

  1. √15 = 3.9  located between 3.8 and 4.0
  2. √46 = 6.8 located between 6.7 and 6.9
  3. √55 = 7.4 located between 7.3 and 7.5
  4. √60 = 7.7 located between 7.6 and 7.8
  5. √96 = 9.8 located between 9.7 and 9.9
  6. √14 = 3.7 located between 3.6 and 3.9
  7. √22 = 4.7 located between 4.6 and 4.8
  8. √75 = 8.7 located between 8.6 and 8.9
  9. √34 = 5.8 located between 5.7 and 5.9
  10. √57 = 7.5 locate between 7.4 and 7.6
8 0
3 years ago
The perimeter of a square is 36<br>what is the area of the square?​
zmey [24]

Answer: 81 units²

Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.

Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.

Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.

So the area of a square that has a perimeter of 36 is 81 units².

6 0
3 years ago
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