Answer:
The answer is C) 0.1
Step-by-step explanation:
The missing variable has to complete the table and equal 1.0, so you have to find which answer will fit that requirement. 0.9 + 0.1 = 1.0
Answer:
lower than Amanda: 816 students
Step-by-step explanation:
An equivalent way in which to state this problem is: Find the area under the standard normal curve to the left (below) 940.
Most modern calculators have built in distribution functions.
In this case I entered the single command normalcdf(-1000,940, 850, 100)
and obtained 0.816.
In this particular situation, this means that 0.816(1000 students) scored lower than Amanda: 816 students.
The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
Given that,
The function is (-x+3)/ (3x-2)
We have to find f(1) and f'(x).
Take the function expression
f(x)= (-x+3)/ (3x-2)
Taking x as 1 value
f(1)= (-1+3)/(3(1)-2)
f(1)=2/1
f(1)=1
Now, to get f'(x)
With regard to x, we must differentiate.
f(x) is in u/v
We know
u/v=(vu'-uv')/ v² (formula)
f'(x)= ((3x-2)(-1)- (-x+3)(3))/ (3x-2)²
f'(x)= ((-3x+2)-(-3x+9))/ 9x²- 12x+4
f'(x)=(-3x+2+3x-9)/ 9x²- 12x+4
f'(x)=2-9/ (9x²- 12x+4)
f'(x)=-7/ (9x²- 12x+4)
Therefore, The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
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The probability that the candidate will win is P = 0.357
<h3>
How to find the probability?</h3>
We know that the odds against the particular candidate are 9 to 5.
The the odds for the candidate are 5 to 9, this means that in 5 cases the candidate will win, and in 9 cases the candidate will lose.
Then the candidate wins in 5 out of 14 cases, then the probability that the particular candidate wins the elections is given by the quotient:
P = 5/14 = 0.357
The probability that the candidate will win is P = 0.357
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