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3 years ago

The graph of a quadratic function touches, but does not cross, the x-axis at x = 4. Which function represents this situation?

2 answers:

5 0

When a zero of a function does not cross the x-axis but touches it, this means that the zero is a "double root". It has two of the same factor (x - 4)^2 and two of the same zeros, x = 4 and x = 4
f(x) = x^2 - 8x + 16 would be the function with a double root at 4

fiasKO [112]3 years ago

3 0

It's 4 than it's 0 for the next one!

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In the figure, x ∥ y and a is a transversal that crosses the parallel lines.

Dominik [7]

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2 years ago

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

7 0

2 years ago

Which pair of angles are supplementary?

PolarNik [594]

Answer: H

Step-by-step explanation:

Supplementary angles just mean they add up to 180 degrees. 180 degrees means that when the two angles are put together one of each of their sides will form a straight line.

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2 years ago

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3 years ago

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ddd [48]

Answer:

Step-by-step explanation:

28=Diameter

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