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kobusy [5.1K]
2 years ago
5

Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a

Mathematics
1 answer:
zmey [24]2 years ago
8 0

Answer:

0.4

Step-by-step explanation:

Given:

Dana found that 8 students earned an A, 6 students earned a B, 4 students earned a  C, and 2 students earned a D on the last science test.

To find:

the experimental probability that the student would have earned an A in  the test

Solution:

Probability refers to the chances of occurrence of some event.

Number of students who earned an A in the test = 8

Total number of students = 8 + 6 + 4 + 2 = 20

The experimental probability that the student would have earned an A in  the test = Number of students who earned an A in the test / Total number of students = \frac{8}{20}=\frac{2}{5}=0.4

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What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
    120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
    400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
3 0
2 years ago
Read 2 more answers
Which expression has the same GCF as 15x2 - 21x?
Mice21 [21]

Answer:

15x^2 +21 x

Step-by-step explanation:

We have the following expression:

15x^2 -21 x

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

If we consider the new expression:

15x^2 +21x

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

5 0
2 years ago
Read 2 more answers
Divya (height 53 cm) and Surjeet ( 58 cm ) are standing in a ground .If distance between their toes is 12 cm ,what is the distan
Morgarella [4.7K]

Answer:

The answer would be 17 cm

Step-by-step explanation:

If the distance between their feet is 12 cm, then the distance between their heads would also be 17 cm, because of their five cm height difference. [ You add that on to their normal distance]. I hope this helped! If I'm wrong, I'm sorry and please let me know... Have a great day!!

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lorasvet [3.4K]
Because his first string was tied up at the moment
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Name three common measurements that are expressed as a ratio of two units.
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Mpg is one...........
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