Answer:
50
Step-by-step explanation:
its a straight line so all the angles have to add up to 180
C. add 3 to 15 because the sequence is +3 every time
Answer:
x = -122/13 OR 9.3846
Step-by-step explanation:
First, take a look at the second equation. Add 8x to the other side.
-7y= 8x -18
Then, divide by -7 to get a regular "y=" equation.
y= 8/7x -18/7
Move on the the first equation. Let's get "y" by itself. Add 3x to the other side.
y= 3x +15
Considering both equations are equal to Y, set them equal ( except the "y" part )
8/7x - 18/7 = 3x + 15
Multiply all by seven so that there are no fractions.
8x - 18 = 21x + 105
Subtract 8x from both sides.
-17 = 13x + 105
Subtract 105 from both sides.
-122 = 13x
Divide by 13 on both sides.
x = 9.3846
Or if you don't want decimals, just say x = -122/13
Quick Note: I made a mistake. I had looked at the second equation at -18. The answer is incorrect but the method of solving is correct. Also, make sure to plug in the value of x to get Y.
Answer:
B
Step-by-step explanation:
Answer:
<em>0.5306</em>
<em>0.5694</em>
Step-by-step explanation:
USing the formuls for calculating the confidence interval for the population proportion;
CI = p±Z*√[p(1-p)/n]
p is the percentage proportion of the population 55%
Z is the z-score at 99% confidence interval = 2.576
n is the sample size = 1079
CI = 0.55 ± 2.576*[0.55(1-0.55)/√1079]
CI = 0.55 ± 2.576*[0.55(0.45)/√1079]
CI = 0.55 ± 2.576*[0.2475/√1079]
CI = 0.55 ± 2.576*[0.2475/32.85]
CI = 0.55 ± 2.576*[0.00753]
CI = 0.55 ±0.0194
CI =(0.55-0.0194, 0.55+0.0194)
CI = (0.5306, 0.5694)
<em>Hence, a 99% confidence interval of the proportion of the population that will support such a law is 0.5306</em><em>0.5694</em>
