Answer:
<em>Beck actually caught 45 fish</em>
Step-by-step explanation:
<u>System of Equations</u>
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
The quotient of the synthetic division is x^3 + 3x^2 + 4
<h3>How to determine the quotient?</h3>
The bottom row of synthetic division given as:
1 3 0 4 0
The last digit represents the remainder, while the other represents the quotient.
So, we have:
Quotient = 1 3 0 4
Introduce the variables
Quotient = 1x^3 + 3x^2 + 0x + 4
Evaluate
Quotient = x^3 + 3x^2 + 4
Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4
Read more about synthetic division at:
brainly.com/question/18788426
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Step-by-step explanation:
I am sorry question samajh Nahin a Raha question dijiye
Answer:
0.477 is the probability that the average score of the 36 golfers was between 70 and 71.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 70
Standard Deviation, σ = 3
Sample size, n = 36
Let the average score of all pro golfers follow a normal distribution.
Formula:
P(score of the 36 golfers was between 70 and 71)
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
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0.477 is the probability that the average score of the 36 golfers was between 70 and 71.
Answer:
Step-by-step explanation:
The radius of a circle is always half the radius.
Thus, in this case, the radius is (1/2)(34 in) = 17 in.
The "how far" question is answerable by finding the circumference of the wheel. The circumference, C, is found by calculating C = πd, where d is the diameter of the circle in question.
Here, C = (34 in)π, which comes out to 106.81 inches. The bike will move 106.81 inches forward if the wheel turns once.
If the wheel turns 5 times, the total distance traveled is 5 times the circumference, or 5(106.81 in) = 534.07 in.