Step-by-step explanation:
5x +2 = 182 -4x
5x+4x = 182-2
9x = 180
x = 180/9
x = 20
4y +2 = 5x +2
4y = 5x
4y = 5(20)
4y = 100
y = 100/4
y = 25
Answer: 517
Step-by-step explanation:
Answer:
The sampling distribution of
is <em>N</em> (0.25, 0.0354²).
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:

The standard deviation of this sampling distribution of sample proportion is:

Let <em>p</em> = proportion of adults in the city having credit card debts of more than $2000.
It is provided that the proportion of adults in the city having credit card debts of more than $2000 is, <em>p</em> = 0.25.
A random sample of size <em>n</em> = 150 is selected from the city.
Since <em>n</em> = 150 > 30 the Central limit theorem can be used to approximate the distribution of <em>p</em> by the Normal distribution.
The mean is:

The standard deviation is:

Thus, the sampling distribution of
is <em>N</em> (0.25, 0.0354²).
$6.79 - $3.95 = $2.84. Since you’re rounding to the nearest half dollar, you’d found to $3. $2.84 is closer to $3 than $2.50
$3 - $2.84 = $.16
$2.84 - $2.5 = $.34