Debbie ate 1/8 of a large brownie. Julian ate 1/2 of a small brownie. Julian says, "I ate more brownies than you because 1/2>
1/8." Use pictures and words to explain Julians's mistake.
2 answers:
Draw two boxes. One much larger than another. Draw a line down the middle of the smaller box. This is Julian's brownie. Now, draw a line dividing the large box in half, and repeat this again and again until you get 8 equal pieces. This is Debbie's brownie. Shade in one section of Debbie's brownie and 1 section of Julian's brownie. This should show that 
of a large brownie is greater than 
of a small brownie.
Answer:
We can't compare the two quantities as the quantity were of different sizes.
Step-by-step explanation:
We are given a statement as:
Debbie ate 1/8 of a large brownie. Julian ate 1/2 of a small brownie.
Then we are given that:
Julian says, "I ate more brownies than you because 1/2>1/8."
<em>" Julian mistake was that the brownies ate by both of them were of different size so we can't compare them though 1/2 >1/8 but we can compare them only when they were of the same type "</em>
This could also be shown with the help of a picture attach to the answer.
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Answer:
2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The first step to solve this question is finding the proportion of students which use the computer more than 40 minutes, which is 1 subtracted by the pvalue of Z when X = 40. So
has a pvalue of 0.7881.
1 - 0.7881 = 0.2119
So 21.19% of the students use the computer for longer than 40 minutes.
Out of 10000
0.2119*10000 = 2119
2119 students use the computer for more than 40 minutes. This number is higher than the threshold estabilished of 2000, so yes, the computer center should purchase the new computers.
For this case we have to:
Given the quadratic equation of the form:
The roots are given by:
If we have:
We can rewrite it in the following way:
Where:
Where we have:
By definition:
Thus, the roots are given by imaginary numbers:
Answer: