3.6m by 1.8 m wall How many 6 cm by 6 cm pictures could fit on the wall?
2 answers:
Answer:
1800 pictures could fit on the wall.
Step-by-step explanation:
If the area of a space is given as A and this space is to be filled by pictures of area A' then number of pictures will be =
Now we know area of wall is A and area of picture is A'.
Length and width of wall = 3.6×1.8 m
So area of the wall A = 3.6×1.8 = 6.48 m²
Dimensions of one picture = 6×6 cm Or 0.06×0.06 m
So are of one picture A' = 0.0036 m²
Therefore, Number of pictures on the wall = =
Number of pictures required to cover the wall = 1800
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Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - <em>α</em>)% confidence interval for population mean is:
The margin of error for this interval is:
The critical value of <em>z</em> for 90% confidence level is:
<em>z</em> = 1.645
Compute the required sample size as follows:
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.