Step-by-step explanation:
The mean is 27 and the standard deviation is 4.
23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean. According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.
68% of 1200 is 816.
19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean. According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.
95% of 1200 is 1140.
Let's say you only have three points: A, B, and C.
The first step is asking you to construct a parallel of AB through C. You should start by placing a ruler connecting points A and B, then use a set square and rest it on the ruler that's connecting points A and B. Slide the set square over the ruler so it meets point C. Measure at which distance is point C. Then slide the set square to one or another side of the ruler and mark a new point with the same distance of point C from AB. Now connect points C and the new one by tracing a line that passes on both points. That line will be parallel to AB.
Now repeat the process for the other parallels. By the end, you should have three lines that when extend cross each other and form a triangle.
Answer:
She should add 30 ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.
Step-by-step explanation:
Let X be ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.
We have the equation
when 8% acidity level is reached.
Solving the equation we have
X*0.12+2=0.08(X+40)=0.08X+3.2
That is 0.12X-0.08X=3.2-2=1.2
Finally 0.04X=1.2 and
X=30
The answer is 0.2 when it is fully simplified
I need help on this to help me please
