Answer: E. All of the above statements are true
Step-by-step explanation:
The mean of sampling distribution of the mean is simply the population mean from which scores were being sampled. This implies that when population has a mean μ, it follows that mean of sampling distribution of mean will also be μ.
It should also be noted that the distribution's shape is symmetric and normal and there are no outliers from its overall pattern.
The statements about the sampling distribution of the sample mean, x-bar that are true include:
• The sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.
• The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal. • The sampling distribution's mean is the same as the population mean.
• The sampling distribution's standard deviation is smaller than the population standard deviation.
Therefore, option E is the correct answer as all the options are true.
Answer:
<u>If the amount is P, with the interest rate of 12%, the interest over the year is:</u>
<u>In this case the quarterly interest rate is:</u>
<u>With the same amount and 3% quarterly rate, the yearly interest would be:</u>
<u>The quarterly interest rate in this case is:</u>
If the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.
So Kraig is wrong.
Answer:
He would have to wait for 5 weeks
Step-by-step explanation:
$5 x $5 = $25
$25 + $10.50 = $35.50
Answer:
Vladimir and Robyn both are correct.
Step-by-step explanation:
Let us check whether the points (-5,-3) and (10,9) are on the line 
or not.
The equation of the straight line passing through the given points (-5,-3) ans (10,9) is 
⇒ 5(y - 9) = 4(x - 10)
⇒ 5y = 4x + 5
⇒ .............. (1)
So, Vladimir is correct.
Now, Robyn says that the line passes through the points (-10,-7) and (-15,-11).
Then, both of the points satisfy the equation (1).
Therefore, Vladimir and Robyn both are correct. (Answer)
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90°
To find the arc length of the quarter circle:
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
