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lys-0071 [83]
3 years ago
5

Juan scored 15 points more on this test than

Mathematics
1 answer:
maw [93]3 years ago
8 0

Juan's least integer scores in both tests will be 85 and 100 respectively.

  • Test average of his two scores is atleast 92

Let :

  • Score on test 1 = b
  • Score on test 2 = b + 15

Average score can be related thus:

  • (Sum of score ÷ number of test) ≥ 92
  • (b + b + 15) ÷ 2 ≥ 92
  • (2b + 15) ÷ 2 = 92
  • 2b + 15 = 184
  • 2b = 184 - 15
  • 2b = 169
  • b = 169 ÷ 2
  • b = 84.5

Therefore, since both scores are integers, his least scores on both tests will be ::

  • 85 and (85 + 15) = 100

Learn more :brainly.com/question/15528814

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Find the correlation coefficient of the height and weight
Vinvika [58]
The correlation coefficient (r) of the height and weight is 0.40391008.
Rounded, It will be 0.4
That means that the correlation between the height and weight is a positive weak correlation.

7 0
3 years ago
Divide:7/4 ÷ 8/732/4949/3217/3281/32
SIZIF [17.4K]

7/4 ÷ 8/7

To divide fraction multiply the first fraction by the reciprocal of the second fraction:

7/4 x 7/8 = (7x7) / (4x8) = 49/32

5 0
1 year ago
2. Cement has a density of 3.0 g/cm3. You must pour a cement walkway with the
Anon25 [30]

For this case we have to by definition:

d = \frac {M} {V}

Where:

d: It is the density

M: It's the mass

V: It is the volume

According to the data we have to:

d = 3.0 \frac {g} {cm ^ 3}

On the other hand we have that 1 meter is equivalent to 100 centimeters. Thus the measurements of the walkway are:

600 cm long, 100 cm wide and 10 cm thick. Looking for the volume we have:

V = 600 * 100 * 10\\V = 600,000 cm ^ 3

According to the formula we have:

M = d * V\\M = 3.0 \frac {g} {cm ^ 3} * 600,000 cm ^ 3\\M = 1,800,000g

Thus, the mass of the walkway is 1,800,000g

Answer:

1,800,000g

7 0
3 years ago
A health inspector must visit 44 of 1414 restaurants on monday. in how many ways can she pick a first comma second comma third c
ira [324]
Let's make clear the question, because it may be confusing:
<span>"A health inspector must visit 4 of 14 restaurants on Monday. In how many ways can she pick a first, second, third, and fourth restaurant to visit?"

In order to solve the problem, you need to use permutations: you have 14 possible restaurants to choose as first, the second one will be chosen among the 13 restaurants left, the third one among the remaining 12 and the fourth one will be one of the remaining 11.

Therefore, the total number of possibilities is:
14 </span>× 13 × 12 × 11 = 24024

There are <span>24024 possible ways to choose the four restaurants to visit.</span>
4 0
3 years ago
There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white, 4 7 of the remaining boats ar
Aleksandr-060686 [28]

Answer: the number of boats that are in the marina is 105.

Step-by-step explanation:

Let x represent the number of boats that are in the marina.

Two-thirds of the boats in the marina are white. It means that the number of white boats in the marina is

2/3 × x = 2x/3

The remaining number of boats will be

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4/7 of the remaining boats are blue. It means that the number of boats that are blue is

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The number of boats left would be

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If there are 15 red boats, it means that

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3x = 21 × 15 = 315

x = 315/3

x = 105

3 0
3 years ago
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