Given Information:
Population size = n = 300
standard deviation = σ = 15
confidence level = 99%
Required Information:
Margin of error = ?
Step-by-step explanation:
The margin of error is a measure of the effectiveness of your survey.
Margin of error = z*(σ/√n)
z-score corresponding to 99% confidence level = 2.58
Margin of error = ±2.58*(15/√300)
Margin of error = ±2.58*(0.866)
Margin of error = ±2.23
Hence the correct option is C ±2.23
Hey there!!
The total cost is $52.
She paid $12 more for the layer cake than the cupcake.
Let's take the price of the cupcake as $x. Then, the price of the layer cake would be $12 + x
The sum of these would result in $52.
... x + x + 12 = 52
... 2x + 12 = 52
... 2x = 52 - 12
... 2x = 40
... x = 20
Hence, the price of the cupcake is $20 and the price of the layer cake is $32.
Hope my answer helps!!
Q is 124 and 56 because it has to add up to 180 and sense r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees
Answer: see below
Step-by-step explanation:
(i)
200/2 = 100
Find 100 on cumulative frequency and the correspinding time: 14 minutes. So the answer is 14 minutes.
(ii)
First, find the lower quartile —> 200/4 = 50
Upper quartile —> 200/(3/4) = 150
Find the difference: 150 - 50 = 100
So the interquartile range is 100
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Answer:
3.16 units
Step-by-step explanation:
It has been given that the triangles JKL and the triangle RST are congruent.
That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.
Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are 
and 
.
The length of the side RS is equal to the distance between point R and S.
RS 
Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.
