Answer:
y = 3/4x + 17/4
Step-by-step explanation:
Step 1: Find slope <em>m</em>
m = (5 - 2)/(1 + 3)
m = 3/4
y = 3/4x + b
Step 2: Find <em>b</em>
5 = 3/4(1) + b
5 = 3/4 + b
b = 17/4
Step 3: Rewrite equation
y = 3/4x + 17/4
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
Answer:
The first thing you do is:
Step-by-step explanation:
How to calculate 60 divided by 19
Here we will show you step-by-step with detailed explanation how to calculate 60 divided by 19 using long division.
Before you continue, note that in the problem 60 divided by 19, the numbers are defined as follows:
60 = dividend
19 = divisor
Step 1:
Start by setting it up with the divisor 19 on the left side and the dividend 60 on the right side like this:
1 9 ⟌ 6 0
Step 2:
The divisor (19) goes into the first digit of the dividend (6), 0 time(s). Therefore, put 0 on top:
0
1 9 ⟌ 6 0
Step 3:
Multiply the divisor by the result in the previous step (19 x 0 = 0) and write that answer below the dividend.
0
1 9 ⟌ 6 0
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (6 - 0 = 6) and write the answer below.
0
1 9 ⟌ 6 0
- 0
6
Step 5:
Move down the 2nd digit of the dividend (0) like this:
0
1 9 ⟌ 6 0
- 0
6 0
Step 6:
The divisor (19) goes into the bottom number (60), 3 time(s). Therefore, put 3 on top:
0 3
1 9 ⟌ 6 0
- 0
6 0
Step 7:
Multiply the divisor by the result in the previous step (19 x 3 = 57) and write that answer at the bottom:
0 3
1 9 ⟌ 6 0
- 0
6 0
5 7
Step 8:
Subtract the result in the previous step from the number written above it. (60 - 57 = 3) and write the answer at the bottom.
0 3
1 9 ⟌ 6 0
- 0
6 0
- 5 7
3
