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4 years ago

7

The terms in sequence A increase by 3. The terms in sequence B increase by 8. In which sequence do the terms form a steeper line

when graphed as points on a coordinate plane? Justify your reasoning.

1 answer:

kipiarov [429]4 years ago

6 0

B has the steeper slope because the rate of change of values is much higher than A

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

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:

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

And we want to find this probability:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

$P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727$

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3 years ago

What is the mean cost of replacing brake pads for four different vehicles ai at the following prices $120,$235,$98,$142

Stels [109]

The mean is the average of a set of numbers. So to do that:

add all the numbers 120+235+98+142=$595

Then divide that by the total number in the set, in this case it is 4.

$595/4= $148.75 assuming that the prices given are the final price of the job.

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4 years ago

Can somebody please help me with #11 thank you

aniked [119]

The graph is not a function, as it does not pass the vertical line test. The lines at 2,-1 and 2,3 overlay and pass the vertical line more than once, meaning that the graph is not a function.

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3 years ago

8x-18=30 math homework I need help

horsena [70]

Ok i will give you a hint ok look subtract 18-30 then you will get yhe answef for 8× ok try it

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3 years ago

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HELP PLEASE !!!! Rosana used linear combination to solve the system of equations shown. She did so by multiplying the second equ

Allisa [31]

She must have multiplied it by 5.

That would've given her:

x - y = 15
2.5x + y = 25

Now we can add them and the y-terms will eliminate each other. Because one is -y, and the other is positive y. -y + y = 0.

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4 years ago

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