Answer:the length of each side of the larger square is 6 centimeters.
Step-by-step explanation:
Let x represent the length of each side of the small square.
Let y represent the length of each side of the Large square.
The area of the small square is x^2
The area of the large square is y^2
The combined area of two squares is 45 square centimeters. This means that
x^2 + y^2 = 45 - - - - - - - - - - -1
Each side of one square is twice as long as a side of the other square. This means that
y = 2x
Substituting y = 2x into equation 1, it becomes
x^2 + (2x)^2 = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 45/5 = 9
x = √9 = 3
Substituting x = 3 into y = 2x, it becomes
y = 2 × 3 = 6 centimeters
Answer:
Step-by-step explanation:
If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.
The best estimate is choice C) 125
Answer:
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Step-by-step explanation:
The Number of boxes = 6
Box containing a prize = 1
Probability of success, p = box containing a price / number of boxes = 1 /6
Number of trials = 5
Probability of success on exactly 2 trials, r = 2
Hence,
P(r = 2) = nCr * p^r * (1-p)^(n-r)
n = 5 ; r = 2 ; p = 1/6
Using a binomial probability calculator :
P(r = 2) = 0.1608
Answer:
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Step-by-step explanation:
