-8x+5y= -40
First, add 8x to both sides
5y= 8x-40
Now divide both sides by 5
y= 8/5x-8
Answer:
B (0.312, 0.364)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of 
For this problem, we have that:
1289 randomly selected American adults responded to this question. This means that
.
Of the respondents, 436 replied that America is doing about the right amount. This means that
.
Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party.
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval is:
B (0.312, 0.364)
Answer:
432 feet
Step-by-step explanation:
The total length of line he will draw is equivalent to the perimeter of the plane shape he is drawing. Given that it is a soccer field measured as 96 feet by 120 feet, the shape is a rectangle.
The perimeter p of a rectangle whose length is l and width is b is given as
p = 2(l+b)
Hence the length of the line he must draw
= 2(96 + 120)
= 2 * 216
= 432 feet
Answer:

Step-by-step explanation:
Tan θ =
= 
So, Perpendicular = b, base = a
<em><u>Finding hypotenuse by Pythagorean Theorem:</u></em>

=> So, <u><em>hypotenuse = c</em></u>
Sin θ = 
Cos θ = 
So, <u><em>Now finding </em></u>
=>
÷ 
=>
÷ 
=> 
=> 