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fomenos
3 years ago
15

What is 6-4(6n+7) is greater than or equal to 122?

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0
6-4(6n+7)\ge122\\\\6-24n-28\ge122\\\\-24n\ge122-6+28\\\\-24n\ge143\ \ \ \ |:-24\\\\n\le-6\\\\n\in(-\infty,-6\rangle
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A seagull flying in the air over water drops a crab from a height of 45 feet.The distance the crab is from the water as it falls
jonny [76]
For the seagull to catch the crab, h(t)=g(t) so:

-16t^2+45=-13t+23  add 16t^2 to both sides

45=16t^2-13t+23  subtract 45 from both sides

16t^2-13t-22=0  using the quadratic equation:

t=(13±√1577)/32, since t>0

t=(13+√1577)/32 seconds

t≈1.65 seconds (to nearest hundredth of a second)

And the height that this occurs using either original equation is:

h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)
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3 years ago
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aalyn [17]
Try to use Mathway if your having trouble solving your equations

4 0
4 years ago
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Simplify the expression:<br> 7r2+5r2+9r
jenyasd209 [6]

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Step-by-step explanation:

4 0
3 years ago
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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

6 0
3 years ago
Find the range of the function for the given domain. f(x) = 2x - 7 ; {-2, -1, 0, 1, 2}
Studentka2010 [4]

The domain is a discrete set. So we will have a discrete range.

The range is a set containing:

f(-2)=-11

f(-1)=-9

f(0) = -7

f(1) = -5

f(2) = -3

Range = {-11,-9,-7,-5,-3}

7 0
4 years ago
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