By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.
The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation ;
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The sample of 112 residents has a mean GPA of 1.7.
By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.
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Answer:
ans -------8/5 pansnhshshsh
Let x = speed of the first car
the second car is 12 km slower so the seconds car speed is x-12
they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)
they drove 360 km
so you have 2x + 2(x-12) = 360
solve for x
2x+2(x-12) = 360
2x + 2x-24 = 360
4x-24 = 360
4x = 384
x = 384/4
x = 96
1st car drove at 96 km per hour
slower car drove at 96-12 = 84 km per hour
Answer:
c= 3
Step-by-step explanation:
0.2(10 -5c)= 5c -16
<em>Expand</em><em>:</em>
0.2(10) +0.2(-5c)= 5c -16
2 -c= 5c -16
<em>Bring</em><em> </em><em>all</em><em> </em><em>c</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>,</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>:</em>
5c +c= 2 +16
<em>Simplify</em><em>:</em>
6c= 18
<em>Divide</em><em> </em><em>by</em><em> </em><em>6</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
c= 18 ÷6
c= 3
This would be the correct answer