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Debora [2.8K]
3 years ago
13

A: 2.86 B: 2.75 C: 2.95 D: 1.17

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0
No doubt your text advises how to arrive at a best-fit exponential model. The two graphing calculators I used gave different answers. The first one modeled the function as
y = 398.494(0.50526)^x
For x = 7, this model gives y = 3.35

The second calculator, a TI-84 work-alike, modeled the function as
y = 422.110(0.48896)^x
For x=7, this model gives y = 2.82

Using the first and last data points only, the model is
y = 200(0.06)^((x-1)/4)
For x=7, this model gives y = 2.94

Using yet another calculator to do linear regression on the log of y, the function is modeled by
y = 10^(2.62543-0.31073x)
which is another way to write the function produced by the TI-84 work-alike.

So, the technology I used gives a couple of reasons to choose
  A. 2.86
and a couple of reasons to choose
  C. 2.95

Of the models shown here, the ones with the lowest mean absolute deviation and the least squared error were the ones that produced the highest values of y for x=7, suggesting 2.95 is the best choice.


It would be advisable to use the procedure described in your text.

oksian1 [2.3K]3 years ago
3 0

Answer:

a

Step-by-step explanation:

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Find the slope and reduce P=(-2,3) Q=(8,3)
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Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should
Lady bird [3.3K]

By applying the law of sines, the length of side PQ is equal to 7.1 units.

<h3>What is the law of sines?</h3>

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

<h3>How to calculate the length of PQ?</h3>

Mathematically, the law of sines is given by this equation:

\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}

Substituting the given parameters into the formula, we have;

\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691

PQ = 7.1 units.

Read more on law of sines here: brainly.com/question/7922954

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2 years ago
Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a
just olya [345]

Answer:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

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So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and X \sim Bin(n=600, p =0.4)

And we want this probability:

P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.&#10;[tex]np=600*0.4=240\geq 10

n(1-p)=600*(1-0.4)=360 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=600*0.4=240

\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12

And then X \sim N (\mu = 240, \sigma= 12)

And we are interested on the following probability:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

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