Answer:
- Andre subtracted 3x from both sides
- Diego subtracted 2x from both sides
Step-by-step explanation:
<u>Andre</u>
Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.
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<u>Diego</u>
Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.
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<em>Comment on their work</em>
IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.
Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.
As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.
If ( s )stands for speed and later in the question it says that the car was going 55 miles per hour you will replace the s in the equation with the number 55.
55=4.74d
Now you need to find ( d )
If you look at this equation another way you will see that what it’s saying is 4.74 x ? Is 55
Because d replaces the question mark
So 55 divided by 4.74 is 11.603 which is the answer
Answer:
First question: LCL = 522, UCL = 1000.5
Second question: A sample size no smaller than 418 is needed.
Step-by-step explanation:
First question:
Lower bound:
0.36 of 1450. So
0.36*1450 = 522
Upper bound:
0.69 of 1450. So
0.69*1450 = 1000.5
LCL = 522, UCL = 1000.5
Second question:
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:
The project manager believes that p will turn out to be approximately 0.11.
This means that 
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The project manager wants to estimate the proportion to within 0.03
This means that the sample size needed is given by n, and n is found when M = 0.03. So
Rounding up
A sample size no smaller than 418 is needed.
Answer:
Obtuse triangle.
Step-by-step explanation:
Obtuse = angle that is bigger than 90°
