Answer:
The standard deviation of the age distribution is 6.2899 years.
Step-by-step explanation:
The formula to compute the standard deviation is:

The data provided is:
X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}
Compute the mean of the data as follows:

![=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B11%7D%5Ctimes%20%5B19%2B19%2B21%2B...%2B40%5D%5C%5C%5C%5C%3D%5Cfrac%7B299%7D%7B11%7D%5C%5C%5C%5C%3D27.182)
Compute the standard deviation as follows:

![=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B11-1%7D%5Ctimes%20%5B%2819-27.182%29%5E%7B2%7D%2B%2819-27.182%29%5E%7B2%7D%2B...%2B%2840-27.182%29%5E%7B2%7D%5D%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cfrac%7B395.6364%7D%7B10%7D%7D%5C%5C%5C%5C%3D6.28996%5C%5C%5C%5C%5Capprox%206.2899)
Thus, the standard deviation of the age distribution is 6.2899 years.
Answer:
(728, 748)
Step-by-step explanation:
You need the Z value which for 95% confidence interval is 1.96. The mean is $738 and the standard deviation of $41.

Therefore we can calculated the confidence interval


The interval is (728,748)
Answer:
Step-by-step explanation:
it is maximum.
when leading coefficient of x² is negative,
It is downward parabola.
or
y=-2x²+10x+1
=-2(x²-5x+(-5/2)²-(-5/2)²)+1
=-2(x-5/2)²+2×25/4+1
=-2(x-5/2)²+25/2+1
=-2(x-5/2)²+27/2
maximum value of y is 27/2 and is attained at x=5/2
vertex is (5/2,27/2)
Make them into fractions. 9/3, 480/32, and 10/4. Now try to make the denominators the numbers below the shape and then find the number that works for that fraction.
Answer:
The ordered pair that corresponds to point P is: (4, 2)
Step-by-step explanation:
It is clear from the graph that the point P is located at the location (4, 2).
In other words,
at x = 4, y = 2
It means:
The x-coordinate of the point P is: x = 4
The y-coordinate of the point P is: y = 2
Thus, the location of the point P → P(x, y) = P(4, 2)
Please check the attached graph.
Therefore, we conclude that:
The ordered pair that corresponds to point P is: (4, 2)