Answer:
The standard deviation for the sample mean distribution=0.603
Step-by-step explanation:
We are given that
Mean,
Standard deviation,
n=44
We have to find the standard deviation for the sample mean distribution using Central Limit Theorem for Means.
Standard deviation for the sample mean distribution
Using the formula
Hence, the standard deviation for the sample mean distribution=0.603
Answer:
see explanation
Step-by-step explanation:
differentiate using the power rule.
( a
) = na
, thus
(x² - x + 3 ) = 2x - 1
x = 5 → 2(5) - 1 = 10 - 1 = 9
To find the value of x for minimum , equate to zero
2x - 1 = 0 , then
2x = 1 and
x = 
∠CAE = 120°
∠CAD = 60°
∠BAE = 180°
∠DEC = 30°
We start out with the fact that points C and D split the semicircle into 3 sections. This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).
Since it forms a straight line, ∠BAE is 180°.
Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.
We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
This is a very poorly written question. im assuming the house wall is at least 130 ft since there is no information given about it.
each set of side lengths has three elements, the long side and the two short sides. we're asked to list all whole number possibilities so start anywhere, the two short sides being 1ft
(1 1 130). the long side has to be the difference of 132 and the length of both short sides.
the area is one of the short sides times the ling side, in the first case 1*130=130 sqft
continuing the list
(2 2 128) area=256
(3 3 126) area=378
(4 4 124) area=496
(5 5 122) area=610
the short sides increase by 1, the long side decreases by 2, the area gets bigger, but the difference between the areas are 4 less each time. dividing the first difference, 122, by 4 will give us a number to make a better guess from.
122÷4=30.5
so lets try
(30 30 72) area=2160
lets try 31 and see if that gives a smaller area
(31 31 70) area = 2170
(32 32 68) area =2176
(33 33 66) area = 2178
(34 34 64) area = 2176
so the area is decreasing now which means the maximum area is found when thw long side is 66 feet and the short sides are 33 feet.
as far as listing all possibilities, you see the pattern i started, i leave the rest to you
