Answer:

Step-by-step explanation:
#Given a significance level of
and
the critical value is,
#the margin of error can then be calculated as:

Hence the margin of error is 3.4363
Answer:
y = -3/4x -1.5
Step-by-step explanation:
-6+3 = -3
3+1 = 4
-3/4
y = -3/4x +b
3 = -3/4(-6) +b
3 = 4.5 +b
b = -1.5
y = -3/4x -1.5
Answer:
36 minutes when both pipes are working together
Step-by-step explanation:
capacity of tank = 5400 liters
Pipe A flow per mint. = 5400/90 = 60 liters per mint.
Pipe B flow per mint. = 5400/60 = 90 liters per mint.
Flow of A + B per mint. 60 + 90 = 150 liter per mint.
Therefore, 5400 / 150 = 36 minutes to fill the tank
Answer: 95 feet
Step-by-step explanation:
Let the length of the horizontal run be represented by x.
Slope Grade = (Rise/Run) × 100
20 = (19/x) × 100
20 = 1900/x
20x = 1900
x = 1900/20
x = 95
Therefore, the length of the horizontal run must be 95 feet
Answers:
- C) Factored form
- C) Standard form
- D) The y intercept is -8
- B) Two solutions: x = -5 or x = 5
- B) Apply square root to both sides
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Explanations:
- For problems 1 and 2, there's not much to say other than you'll just have to memorize those terms. Standard form is ax^2+bx+c in general. The exponents count down 2,1,0. Factored form is where we have two or more factors multiplying with each other. Think of something like 21 = 7*3 showing that 7 and 3 are factors of 21.
- For problem 3, the y intercept is the last value. It's the constant value. Plug in x = 0 and you'll get y = -8 as a result. The y intercept always occurs when x = 0.
- In problem 4, we apply the square root to both sides to get x = -5 or x = 5. The plus or minus is needed. This is because (-5)^2 = 25.
- In problem 5, we apply the square root to both sides to undo the squaring operation.