Answer:
The 95% confidence interval would be given (0.419;0.481).
Step-by-step explanation:
Data given and notation
n=1000 represent the random sample taken
X=450 represent the people in the sample favored Candidate A
estimated proportion of people in the sample favored Candidate A
represent the significance level
Confidence =0.95 or 95%
p= population proportion of people in the sample favored Candidate A
Solution to the problem
The confidence interval would be given by this formula
For the 95% confidence interval the value of 
and 
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.419;0.481).
We are confident (95%) that about 41.9% to 48.1% of the people are favored Candidate A.
Y - (-4) = (5 - (-4))/(2 - (-1)) (x - (-1))
y + 4 = (5 + 4)/(2 + 1) (x + 1)
y + 4 = 9/3 (x + 1)
y + 4 = 3(x + 1)
y + 4 = 3x + 3
y = 3x + 3 - 4
y = 3x - 1
Answer:
The area of each square is 16 square units.
Step-by-step explanation:
Given,
The two squares are identical.
Hence, their areas are of the same values.
Area of square 1:
Area of square 2:
As, their areas are equal,
Therefore,
Answer:
Cat owner Dog owner Total
Wet food 9 13 22
Dry food 10 14 24
Total 19 27 46
Step-by-step explanation:
It is given that 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food".
Cat owners-Wet food = 9
Dog owners-Wet food =13
Cat owners-Dry food = 10
Dog owners-Dry food =14
We need to construct a two-way frequency table for the data.
Take owners in the first row and type of food in first column and construct a two-way frequency as shown below:
Cat owner Dog owner Total
Wet food 9 13 22
Dry food 10 14 24
Total 19 27 46
Answer:
-4
Step-by-step explanation:
Let's put this in math notation. We can call the number x:
9x+4=8x
Subtract 8x from both sides:
x+4=0
Subtract 4 from both sides:
x=-4
