<span>The <u>correct answer</u> is:
A) 60% ± 18%.
Explanation:
In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.
First we <u>find the value of z</u>:
We want a 95% confidence level; 95% = 95/100 = 0.95.
To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.
Divide by 2:
0.05/2 = 0.025.
Subtract from 1 again:
1-0.025 = 0.975.
Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.
Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.
This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
Answer: you can use Pythagorean theorem
, which formula is 
, "a" and "b" are the sides, and "c" is the hypotenuse (the longest side, the side opposite to the 90 degree angle)
<em>Example:</em>
If they give that one side is 2 inches and the other side is 4 and you need to find the hypotenuse it would be like this:
1) plug the numbers to the formula
2) solve the exponents of the numbers given (not the letter, in this case "c")
16 + 36 = 
3) combine like terms (in this case 16 +36)
52 =
4) Finally, Find the square root of "c" to remove its exponent and do the same to the other side, in this case 52)
(square root of 52 rounded to the nearest hundred is 7.21)
7.21 = c
<h3><u><em>
So 7.21 is your missing side in this example</em></u></h3><h3>look up Pythagorean theorem Khan Academy</h3>
Answer:
The rational function that is graphed is B
Answer:
if i can be brainliest that would be great
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Answer:
I= -20p^2 + 840p
Step-by-step explanation:
When the ticket price is $2 there are 800 passengers daily, but every $0.1 increase in ticket price the number of passengers will be decreased by 2.
You can put information into these equations of:
passenger- = (800-2x)
ticket price= p = $2 + 0.1x
Income is calculated by multiplying the number of the passenger with the ticket price. The answer will be expressed in terms of the ticket price, so we need to remove x from the passenger equation.
p= $2 +0.1x
p-$2 = 0.1x
x= 10p- $20
If p= ticket price, the function for the number of passengers it will be:
passenger = (800-2x)
passenger = 800- 2(10p- $20)
passenger =800- 20p+40
passenger =840- 20p
The function of I will be:
I= passenger x ticket price
I= 840- 20p * p
I= -20p^2 + 840p
