QUESTION 1: In these type of question, the easiest way to get the answer is try to plug in the x and y values from the options given in the equation given, So in the first question all the choice except C are more then 14 if you plug in x and y's, for eg, if you plug in x = 3 and y = 2 , you get (3+3)2 = 14 6 x 2 = 14 12 is not equal to 14, so this eliminates this choice but if you chose C you get, (11+3)1 = 14 14 = 14 so this makes C the solution for first question and for the second question do the same thing, and the answer will be D. Hope this helps
QUESTION 2: 5xy + 9 = 44
5xy = 35
xy = 7
solution pairs are:
C. (1, 7) and (7, 1)
not mentioned: (-1.-7) and (-7, -1)
Hope this helps
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Answer:
Due to the higher z-score, he did better on the SAT.
Step-by-step explanation:
When the distribution is normal, we use 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.
Determine which test the student did better on.
He did better on whichever test he had the higher z-score.
SAT:
Scored 1070, so 
SAT scores have a mean of 950 and a standard deviation of 155. This means that 
.
ACT:
Scored 25, so 
ACT scores have a mean of 22 and a standard deviation of 4. This means that 
Due to the higher z-score, he did better on the SAT.
Answer:
The second pack with 18
Step-by-step explanation:
2.97/11= 0.27
4.74/18=0.26333
Answer:
Its because the paper clips used here are of same length (4cm long).
So the measurements of lines two and three need to be multiples of 4 to me measured accurately with the paper.
i.e Line two needs to be 6cm + 2cm = 8cm (eight is a muliple of 4)
Line three needs to be 9cm + 3cm = 12cm (twelve is a multiple of 4)
Step-by-step explanation:
Since line 1 has 3 paper clips and its 12cm in length, the size of the paper clips is 4cm.
Line 2 is 6cm long and will require two more centimeters to measured accurately by the 4cm-paper clips.
Line 3 is 9cm and will require three more centimeters to be measured accurately by the 4cm-paper clips.
150 + 30 = 180, right? We need to find 180 on the other side.
180 - 2 = 178
178 / 4 = 44.5
The answer is most likely 44.5. Let me know if I am wrong,
