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Bezzdna [24]
3 years ago
11

Which property of equality would you use to solve the equation 14x = 56

Mathematics
1 answer:
dedylja [7]3 years ago
6 0
14x = 56..to solve this, u would have to divide both sides of the equation by 14.....so that would be the division property of equality.

OR
14x = 56....you could use the multiplication property of equality by multiplying both sides by 1/14
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Question Help Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use
3241004551 [841]

Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.    

c) 2.5% percentage of people has an IQ score greater than 120.          

Step-by-step explanation:

The empirical formula states that:

  • The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
  • It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
  • 68% of data falls within the first standard deviation that is \mu \pm \sigma
  • 95% of data falls within the second standard deviation that is \mu \pm 2\sigma
  • 99.7% of data falls within the third standard deviation that is \mu \pm 3\sigma

a)  percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

= 1 - (95\% + 2.5\%) = 2.5\%

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

6 0
3 years ago
What is the solution set of |–x| = –10?
dem82 [27]
|a| = b gives
a =b or a = -b

so,
|-x| = -10
gives
-x = -10 or -x = 10
x = 10, -10

now let us verify,
when x = 10, |-10| = +10 and it is not = -10
so, x= 10 is NOT a solution.

when x = -10, |-(-10)| = |10| = 10 and it is not = -10
so, x= -10 is NOT a solution.

hence, this equation does not have a solution.

If we know that |...| can never be negative, we can directly deduce that this equation does not have any solution.
3 0
3 years ago
Read 2 more answers
How do I answer this—
Katen [24]

Answer:

angle 2 = 87 degrees

" /_ 2=87° "

4 0
3 years ago
Bryce is solving this problem.
zavuch27 [327]

Answer:

The answer is C

2.640 and 10,560

Step-by-step explanation:

264 * 410 = (264 * 400) + (264 * 10) = 105,600 + 2640 = 2.640 and 10,560

6 0
3 years ago
I need help!!!
BaLLatris [955]

(1) -6 x + 8 x = -46 Answer = -23

(2) w + 3/4 = w - 2/2 Answer = {}

(3) 2 x + 16 = 3(x - 9) Answer = 43

(4) Answer D)

(5) -3 x + 4 = -8 Answer x = 4

(6) C)

(7) B)

(8) C)

(9) x + 3/5=2 Answer x = 7/5

(10) 4 - 2 x = 10 Answer x=  = -3

If something is wrong apologize, I hope it helps.


6 0
3 years ago
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