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ra1l [238]
3 years ago
8

Describe the right-hand and the left-hand behavior of the graph of t(x)= 4x^5 - 7x^3 - 13

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0
The end behavior of a function behaves as if only the highest order variable existed.

In this case only the behavior of 4x^5 determines the end behavior of the function.

The left-hand behavior, as x approaches negative infinity, is for the function to decrease without bound as a negative raised to an odd power is negative.

The right-hand behavior, as x approaches positive infinity, is for the function to increase without bound as a positive raised to a positive value is positive.
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On the average,1% of a specific engine componentis found to not perform to standards when tested at the engine assembly plant. F
sasho [114]

Answer: 0.07938

Step-by-step explanation:

Let X be  a binomial variable that represents the components of a specific engine.

As per given , the probability of componentis found to not perform to standards : p= 1%=0.01

Binomial probability formula :

P(X=x)=\ ^nC_xp^x(1-p)^{n-x}

Sample size : n= 100

If more than two are found to be non-performing the entire shipment is returned.

Now, Required probability : P(X>2)=1-P(X\leq 2)

=1-(P(X=0)+P(X=1)+P(X=2))\\\\=1- (^{100}C_{0}(0.01)^0(0.99)^{100}+^{100}C_{1}(0.01)^{1}(0.99)^{99}+^{100}C_{2}(0.01)^{2}(0.99)^{98})\\\\=1-((0.99)^{100}+(100)(0.01)(0.99)^{99}+\dfrac{100!}{2!98!}(0.01)(0.99)^98)\\\\=1-(0.36603+0.36973+0.18486)\\\\=1-(0.92062)\\\\=0.07938

So, the probability that a shipment is returned = 0.07938

3 0
4 years ago
PLS , help me asap :(( , im so frustrated , idk how to do these :c
kolezko [41]

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

6 0
3 years ago
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Two similar solids have a scale factor of 3:4. What is the ratio of their volumes, expressed in lowest terms? Enter your answer
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For this case, what you should know is that if the object is similar, then to find its volume you must raise the scale factor to the cube.
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Assoli18 [71]
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D is correct.
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