Answer:
The angles that are supplementary to angle 7 includes angle 5 and angle 8.
Answer:
80 square yards
Step-by-step explanation:
We know we have a width of 8 yards and a perimeter of 36.
how I figured it out was:
36=(8*2) * (x*2)
8*2=16
36-16=10
So now we know the length and width.
area of a rectangle is lw (length * width)
10*8=80.
Answer:
Step-by-step explanation:
Slope of line passing through (2, 7) and (1, -2) = (-2-7)/(1-2) = 9
x=number of oranges.
y=number of bananas.
$5
we can suggest this system of equations:
x+y=12
0.5x+0.25y=5
We can solve this system of equations by substitution method.
x=12-y
0.5(12-y)+0.25y=5
6-0.5y+0.25y=5
-0.25y=5-6
-0.25y=-1
y=-1 /- 0.25=4
x=12-y
x=12-4=8
Answer:
<em>Tanya bought 8 oranges and 4 bananas.</em>
Answer:
A sample of 1068 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of , so we use the worst case scenario, which is 
Then
Rounding up
A sample of 1068 is needed.
