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Nikolay
12 days ago
9

The production of a certain polymer fiber follows a normal distribution with a true mean diameter of 30 μm and a standard deviat

ion of 20 μm. (a) Compute the probability of a measured value greater than 80 μm. (b) Compute the probability of a measured value between 60 and 75 μm.
Mathematics
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Given the function f(x) = −5x2 − x + 20, find f(3). −28 −13 62 64
Leona [12618]

Answer:

Option (a) is the correct choice.

The result of the given function f(x)=-5x^2-x+20 at x = 3 is -28

Detailed explanation:

Provided: Function f(x)=-5x^2-x+20

We need to calculate the function's value at x = 3

Evaluate the specified function f(x)=-5x^2-x+20

As we are required to find the function's value at x = 3

Substitute x = 3 into the function f(x)

f(3)=-5(3)^2-(3)+20

Upon simplification, we get

f(x)=-45-3+20=-28

Thus, the value of the given function f(x)=-5x^2-x+20 at x = 3 is -28

5 0
1 month ago
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What is the range of the exponential function shown below
tester [12383]

Answer : y>0

f(x) = 9*2^x

This function is exponential in form

f(x) = 9*2^x

Substituting positive numbers for x yields positive y values

Substituting negative numbers for x also results in positive y values

Therefore, y remains positive regardless of the value of x.

The range comprises all possible y outputs of the function

Since y is always positive, the range is y > 0

3 0
3 months ago
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How can properties of operations be used to solve problems involving integers and rational numbers ​
babunello [11817]

Response: The properties of mathematical operations assist in solving integer-related problems as they provide various methods to arrive at the solution.

Step-by-step explanation:

7 0
2 months ago
Leilah has not yet
PIT_PIT [12445]

Answer:

40 * x - 600 = 0

Step-by-step explanation:

Initially, identify the variable (x) in the equation, representing the number of days it takes Leilah to review her flashcards. To study 600 out of her 2400 cards, having gone through 1800 already, we arrive at:

2400 - 1800 = 40 * x

rearranging leads to

40 * x - 600 = 0

This equation describes the situation above

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1 month ago
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