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beks73 [17]
3 years ago
10

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughou

t the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Mathematics
1 answer:
pashok25 [27]3 years ago
8 0
A.) Rate of change = (1350 - 750) / (2010 - 2000) = 600/10 = $60
The initial value is the amount he charged in his first year of business which is $750.

B.) Required equation is given by y - 750 = 60x
y = 60x + 750 where x represent the number of years after 2000.
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Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
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In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

0.125 = 12.5% probability of observing exactly 3 tails.

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago
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-5 + 12  is 7

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6 0
3 years ago
I need help i'm about to cry lol
grigory [225]

Answer and Step-by-step explanation:

The answer is the last answer choice.

g(x) = -(x + 2)^2 + 1

We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.

The equation for a transformed function is:

f(x) = a(x-h)^2 + k

a determines the scale of the graph and whether the graph opens up or down.

h determines whether the graph shifts left or right.

k determines whether the graph shifts up or down.

We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.

k is a positive 1, so the graph will be shifted up 1 unit.

<u>Thus, the answer is the last answer choice.</u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
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Can you help me write this in standard form <br><img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20-%20%
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Step-by-step explanation:

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