Answer:
A. 9.7%
Step-by-step explanation:
margin of error:
z * 
n is sample size
z is the z score (for a 95% confidence interval you would use 1.96)
p is the sample proportion
to solve for 'p', remember that if a decimal value is given, use that. but if it is a whole number, then divide that number by the sample size, and substitute it into the formula.
in this case we are given 43% so 0.43.
in the formula :
1.96 * 
if you calculate this you get around 0.09703 this is 9.7%
Answer:
36x
Step-by-step explanation:
18x / 19 = ? / 57
(18x * 3) / (19 * 3) = ? / 57
You multiply by 3 in both the numerator and the denominator.
36x / 57 = ? / 57
After you multiply, your answer equals 36x.
? = 36x
Answer:
Length = 11
Width = 6
Step-by-step explanation:
We know that the length is x and the width is x - 5 since it is 5 less than the length.
The equation to find the perimeter of a rectangle is 2w + 2l
We will plug in the values and solve
2(x-5) + 2(x) = 34
2x - 10 + 2x = 34
4x - 10 = 34
4x = 44
x = 11
Since the length is simply x, we know that it is 11. We subtract 5 to find the width.
11 - 5 = 6.
The width is 6.
Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9
Answer:
(- 5, 1 )
Step-by-step explanation:
- 6x - 14y = 16 → (1)
- 2x + 7y = 17 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the x- term
6x - 21y = - 51 → (3)
Add (1) and (3) term by term to eliminate x
0 - 35y = - 35
- 35y = - 35 ( divide both sides by - 35 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
- 6x - 14(1) = 16
- 6x - 14 = 16 ( add 14 to both sides )
- 6x = 30 ( divide both sides by - 6 )
x = - 5
solution is (- 5, 1 )
