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djverab [1.8K]
3 years ago
15

the the point (1,25 and (5,125) appear on a graph of the amount earned versus number of lawns mowed what are the coordinates of

the point on the graph with an x value of 3
Mathematics
1 answer:
Travka [436]3 years ago
7 0
One way to do this is to use ratios
another way is to graph it

if you use ratios then
1:25=5:125
1/25=5/125
1/25=1/25
therefor theya re in same ratios
(x,y)=(1,25)
find (3,y)
1:25 =3:y
1/25=3/y
multiplyh both siddes by y
y/25=3
multiply both sides by 25
y=75
the point is (3,75)


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Answer:

P represents the population in year 0 ⇒ D

Step-by-step explanation:

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∵ The function C(t) = P(1 + r)^t represents the population of

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- Ex: If your investment is increased 10% annually, then that means

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∵ r is the rate of increase means the percentage of increasing , then

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4 0
3 years ago
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A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a
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Answer:

P(X \geq 5)=1-P(X

We can find the individual probabilities:

P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114

P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092

P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358

P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869

P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491

And replacing we got:

P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178

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=19, p=0.3)

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 \geq 5)

And we can use the complement rule:

P(X \geq 5)=1-P(X

We can find the individual probabilities:

P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114

P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092

P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358

P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869

P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491

And replacing we got:

P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178

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Answer:

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Step-by-step explanation:

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4 0
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