Answer:
x = 29
y = 13
Step-by-step explanation:
Write 2 equations:
x + y = 42
x - y = 16
Isolate x in the first equation:
x = 42 - y
Substitute this in for x in the second equation:
42 - y - y = 16
42 - 2y = 16
solve for y:
-2y = -26
y = 13
Plug in 13 for y in either equation:
x + 13 = 42
Solve for x:
x = 29
Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.
Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:
The z-score is:
Z = 1.41
Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:
The z-score is:
Z = 0.75.
Hence Stewart caught the longer fish relative to the same specie.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
The length of side is 42.4 inches.
Step-by-step explanation:
Given that:
Diagonal of square = 60 inches
As all sides of a square are equal, thus
Side of square = x
The diagonal will be the hypotenuse of a right angled triangle.
Using Pythagorean theorem;
Taking square root on both sides
Hence,
The length of side is 42.4 inches.
Answer:
yes it does
Step-by-step explanation:
Well, those 5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (do a division, 315/35=9).