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Ugo [173]
3 years ago
12

The sum of three consecutive numbers is 46. Find the

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0
X
x+1
x+2
x+x+1+x+2=46
3x+3=46
3x=43
x=43/3
x∉{N}
the task is given with a mistake!

Citrus2011 [14]3 years ago
6 0

Let the three consecutive number be x,x+1 and x+2.

It is given sum of three consecutive numbers is 46.

So,x+x+1+x+2=46

3x+3=46.

Subtracting 3 both sides

3x=46-3

3x=43.

x= \frac{43}{3}.

Since \frac{43}{3}. is not an integer there is no true answer to this problem.


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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
2 years ago
I am doing a math project for Geometry. I am using Singapore Flyer as example for a circle. This is the information I know so fa
My name is Ann [436]

Answer:

Yea its correct! good job yea there are not any mistakes

Step-by-step explanation:

8 0
3 years ago
At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. What is the constant of proportionali
Contact [7]

Answer:

The answer is most likely 5 shrimp eats 5 grams of food im one day,

Step-by-step explanation:

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. <em>What is the constant of proportionality and what does it tell us about the situation?</em>

So, We know the shrimp is fed 1/5 gram of food each feeding, And we know the shrimp is fed 3 times each day.

Now, We need to answer the question, <u><em>What is the constant of proportionality and what does it tell us about the situation?</em></u>

<u><em /></u>

Then, That means '5, shrimp eats 5 grams of food in one day ' is correct.

6 0
2 years ago
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