Answer:
So then the minimum sample to ensure the condition given is n= 38
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
ME = 4 the margin of error desired
Solution to the problem
When we create a confidence interval for the mean the margin of error is given by this formula:
(a)
And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is
. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got
, replacing into formula (b) we got:
So then the minimum sample to ensure the condition given is n= 38
By using the Pythagoras theorem, the length of the ladder will be 13.6 feet.
<h3>What is a Pythagoras theorem?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Jennifer needs to use a ladder to clean a second-floor window on a building.
If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building.
Then the length of the ladder will be
H² = 13² + 4²
H² = 169 + 16
H² = 185
H = 13.6 ft
More about the Pythagoras theorem link is given below.
brainly.com/question/343682
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99
because 0.49 is less than 0.5(0), we round it down.
Answer:
(6*10)/5
= 60/5
= 12
Step-by-step explanation:
Answer:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... the line y = x is the point (y, x). The reflection of the point (x,y) across. the line y = -x is the point (-y, -x).
Step-by-step explanation: