Answer:
b = -9.
Step-by-step explanation:
The line passes through (4, 3) and (7, 12). First, we need to find the slope: the rise over the run.
(12 - 3) / (7 - 4) = 9 / 3 = 3.
Now that we have the slope, we can say that m = 3. So, we have an equation of y = 3x + b. To find b, we can use M(4, 3) and say that y = 3 and x = 4.
3 = 3 * 4 + b
b + 12 = 3
b = -9.
Hope this helps!
Answer:
No.
Step-by-step explanation:
Based on the sample, "52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus3%." The margin of error was based on a 95% confidence level.
Then 95% Confidence Interval is between 49% and 55%. Since confidence interval also includes non-majority proportions, the assumption that "95% confidence, Robert Smith will win the election" cannot be made.
Answer:
14
Step-by-step explanation:
25 + 14 = 14 + 25
39 = 39
Answer:
£390
Step-by-step explanation:
The ratio of money in bank:
Terry : Faye
3 : 7
Terry put £220 in his account
Faye withdrew £300 from her account
Unknown:
Initial amount Terry had = ?
Solution:
Let the real amount terry has = 3x
Faye will have = 7x
Now;
3x + 220 = 7x -300
Solving this equation:
3x + 220 = 7x -300
3x - 7x = -300 - 220
-4x = - 520
4x = 520
x = 130
Originally, Terry has 3x = 3 x 130 = £390
8 = 8v - 4 (v + 8)
Distribute the 4 through the parentheses
8 = 8v - 4v - 32
combine like terms
8 = 4v - 32
add 32 to both sides
8 + 32 = 4v -32 + 32
combine like terms
40 = 4v
divide each side by 4
40/10 = v
4 = v
v= 4