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3 years ago

"More than 60% of the students scored below the mean on the last test." Can this statement be true? Why or why not?

2 answers:

8 0

The mean is the average of a set of numbers.

So if the remaining 40% of students score 100 points, and the 60% score like 50 points, then the mean would still be 70 points because of the 40% of students that scored super high.

So yes, it can be true.

allochka39001 [22]3 years ago

6 0

Hey! Hope that I can help.

This can be true if the 60% of students scored really low and the 40% that didn't score below scored really high. Example: 20 kids in the class. 12 of the kids (60%) got 10% on their last test. 8 of the kids got 100%. The mean: ((10x12)+(100x8)) / 20 = 48. The mean is 48, but 60% of students got 10.

Answer: Yes

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3 years ago

Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x

charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

a = 5

b = x - 1

c = x

Step:1

Pythagorean theorem is,

$a^{2} + b^{2} = c^{2}$ ................................(1)

( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

From the given values the equation (1) becomes,

$5^{2} + (x-1) ^{2} = x^{2}$

( $(a-b)^{2} = a^{2} + b^{2} -2ab$ )

25 + ( $x^{2}$ + 1 - 2x ) = $x^{2}$

25 + 1 -2x = 0 ( ∵ Eliminate $x^{2}$ in both sides)

26 = 2x

x = 13

Step:2

From the values of x,

a = 5

b = ( 13 - 1 ) = 12

c = 13

Result:

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

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Alexxandr [17]

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You can use photo math to get the answer

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