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11Alexandr11 [23.1K]
3 years ago
11

Let f(x) = x-3 and g(x) =x^2 find f(g(4))

Mathematics
1 answer:
Serhud [2]3 years ago
5 0

Answer:

f(g(4)) = 13.

Step-by-step explanation:

g(4) = 4^2 = 16

so f(g(4)) = f(16)

=  16 - 3

= 13.

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A forest covers 41,000 acres. A survey finds that 0.4?% of the forest is? old-growth trees. How many acres of? old-growth trees
8_murik_8 [283]

Answer: A forest covers 41,000 acres. A survey finds that 0.4?% of the forest is? old-growth trees. How many acres of? old-growth trees are? there?

Alrighty, let me help you out, make things easier! The ANSWER is going to be 24,600, by this process, just take 41,000 and multiply that by 0.4. that gives you 16400, and since you are trying to find a portion of the forest, you subtract 16400 from 41,000 total acres. Hope that helps!


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Step-by-step explanation: amazon they have everything

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3 years ago
What is $133.04 times $165.72
Reika [66]
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5 0
4 years ago
7
jeyben [28]

Answer:

x = -2

Step-by-step explanation:

Given the point, (-2, 9) and the linear equation of a <u>horizontal line</u>, y = 6:

The linear equation of a horizontal line with a slope of zero (<em>m</em> = 0) is y = <em>b, </em>for which the y-intercept is (0, <em>b</em>). <u>Perpendicular lines</u> comprise of the intersection of two lines forming 90° angles.  

Since we are given the equation of a horizontal line, then we can assume that <em>the line that intersects a horizontal line must be a </em><u><em>vertical line</em></u> in order to form perpendicular lines.

The linear equation of a <u>vertical line</u> with an undefined slope is <em>x</em> = <em>a</em>, for which the x-intercept is (<em>a</em>, 0). Vertical lines have an <u>undefined slope </u>because these lines do not have any horizontal change. Thus, when you try to solve for its slope, the denominator will have a difference of 0, making the mathematical operation undefined.

We can use the <u>x-coordinate</u> of the given point, (-2, 9), to formulate an equation for a vertical line: x = -2.

Therefore, the equation of the line that goes through y = 6 is x = -2.

Attached is a screenshot of the graph of both equations, y = 6 and x = -2, showing that their intersection form 90° angles, making them perpendicular lines.      

8 0
3 years ago
According to 2015 census data, 42.7 percent of Colorado residents were born in Colorado. If a sample of 250 Colorado residents i
stepladder [879]

Answer:

sd(X)=\sqrt{np(1-p)}=\sqrt{250*0.427*(1-0.427)}=7.82

The best option is:

B.7.82

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".  

Data given

p_C represent the real population proportion for residents born in Colorado  

\hat p_C =0.427 represent the estimated proportion for rsidents born in Colorado

n_C=250 is the sample size selected

Solution to the problem

Let X the random variable of interest (number of residents in the sample), on this case we now that:  

X \sim Binom(n=250, p=0.427)  

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 expected value is given by this formula:

E(X) = np=250*0.427=106.75

And the standard deviation for the random variable is given by:

sd(X)=\sqrt{np(1-p)}=\sqrt{250*0.427*(1-0.427)}=7.82

The best option is:

B.7.82

8 0
3 years ago
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