Answer:
Line of east wedge is: 2x - y = 96
So, Option 1 is correct.
Step-by-step explanation:
The east edge cannot intersect with the west edge means that two lines are parallel.
If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.
Slope of west edge.
y = 2x + 5
The standard equation for slope intercept form is:
y = mx+b
where m is the slope. So, m= 2
Now finding line for east edge.
Option 1.
Convert each given equation to standard slope intercept form and find the slope.
2x -y =96
-y = -2x +96
Multiply with -1
y = 2x -96
m = 2
Option 2.
-2x -y = 96
-y = 2x +96
y = -2x-96
m = -2
Option 3
-y-2x =48
-y = 2x +48
y = -2x -48
m = -2
Option 4.
y+2x = 48
y = -2x+48
m = -2
So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.
Line of east wedge is: 2x - y = 96
So, Option 1 is correct.
Answer:
1 false
2 true
3 true
4 false
5 true
Step-by-step explanation:
f(a) = (2a - 7 + a^2) and g(a) = (5 – a).
1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial
When added together, they will be a second degree polynomial
2. true When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction
3. true f(a) + g(a) = (2a - 7 + a^2) + (5 – a)
Combining like terms = a^2 +a -2
4. false f(a) - g(a) = (2a - 7 + a^2) - (5 – a)
Distributing the minus sign (2a - 7 + a^2) - 5 + a
Combining like terms a^2 +3a -12
5. true f(a)* g(a) = (2a - 7 + a^2) (5 – a).
Distribute
(2a - 7 + a^2) (5) – (2a - 7 + a^2) (a)
10a -35a +5a^2 -2a^2 -7a +a^3
Combining like term
-a^3 + 3 a^2 + 17 a - 35
Answer:
A sample of 1068 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of , so we use the worst case scenario, which is 
Then
Rounding up
A sample of 1068 is needed.
Answer:
That's not a subtractive equation, the symbol that you used indicates that it is an addition equation. if the question was 1-1 then the answer wouldn't be 2 but since the question is 1+1 the answer is 2
Step-by-step explanation:
