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Dennis_Churaev [7]
3 years ago
9

Use the roster method to write each of the given sets. (Enter EMPTY for the empty set.)

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

a) Empty set

b)  \{x : x \in N \text{ and } x < 13\}                                        

Step-by-step explanation:

Roster form is a comma separated list form of set.

a) The set of natural numbers x that satisfy x + 4 = 1.  

x + 4 = 1\\x = -3 \notin N

Thus, x is an empty set.

b) set-builder notation for the set  {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

We use x to represent this set. Now x belongs to natural number and is less than equal to 12.

Thus, it can be written as:

\{x : x \in N \text{ and } x < 13\}

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
jekas [21]

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 100, \sigma = 15

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{115 - 100}{15}

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

5 0
1 year ago
Find the distance between a and b
nataly862011 [7]
THE DISTANCE IS 7 UNITS
8 0
3 years ago
Expression of "three fifths of a number b subtracted from thrice the same number" into mathematical symbol
liubo4ka [24]

Answer:

3b - \frac{3}{5} b  

Step-by-step explanation:

Let the number be "b"

So the expression would be:

3b - \frac{3}{5} b  

6 0
2 years ago
What is the x-intercept of the graph 4x-6y=12
kap26 [50]

Answer

x=3 or (3,0) and if you need it y=-2x+3

Step-by-step explanation:

I'm not very good at explaining things, sorry

4 0
3 years ago
15 fewer than the quantity 222 times c equals c<br><br><br> Can you please write this as
vampirchik [111]
As an expression, this is: 
222c - 15 = c
If you want to solve it, add 15 to each side to get: 
222c = c + 15 
Subtract c from each side: 
221c = 15 
Divide each side by 221: 
c ≈ 0.0678733 
Hope this helps!
5 0
3 years ago
Read 2 more answers
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