3 + |t + 4| < 10
Subtract 3
|t + 4| < 7
Because it is absolute value...
t + 4 < 7 AND t + 4 > -7
t < 3 AND t > -11
ANSWER:
t < 3 AND t > -11
Answer: 
<u>Turn 12 4/9 into an Improper Fraction</u>
Multiply
and get
. Now add
and get
.

<u>Turn 8 5/6 into an Improper Fraction</u>
Multiply
and get
. Now add
and get
.

<u>Find Common Denominator</u>

Your new problem: 
<u>Subtract</u>
<u></u>
<u></u>
<u></u>
<u>Simplify</u>
<u></u>
<u></u>
Answer:
16.3 repeating
Step-by-step explanation:
3x-4(4)=65
3x-16=65
3x=65-16
3x=49
x=49/3
x=16.3 repeating
Answer:
Where
and
We select a sample of n=16 and we are interested on the distribution of
, since the distribution for X is normal then we can conclude that the distribution for
is also normal and given by:

Because by definition:



And for this case we have this:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:
Where
and
We select a sample of n=16 and we are interested on the distribution of
, since the distribution for X is normal then we can conclude that the distribution for
is also normal and given by:

Because by definition:



And for this case we have this:

