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ICE Princess25 [194]
2 years ago
14

Alexia runs a dog walking business. She charges a $3.75 base fee for

Mathematics
2 answers:
aliina [53]2 years ago
8 0
Well 10.30 x 5 = $51.50 and then half an hour would be $5.15 so that’s $56.65 for the hours. then plus the 3.75 that’s $60.40. and then minus the 4.50 that’s $55.90
spayn [35]2 years ago
6 0

Answer:

$55.90

Step-by-step explanation:

First, create an equation representing her earnings each day.

Let x represent the number of hours that she walks the dog.

Since she charges $10.30 per hour, the cost from walking is 10.3x

She also charges $3.75 as a base fee, which has to be added

Putting this together, we get the equation y = 10.3x + 3.75

Plug in 5.5 as x to find her earnings:

y = 10.3x + 3.75

y = 10.3(5.5) + 3.75

y = 60.4

Since the spends $4.50 on dog treats a day, we have to subtract this from her earnings:

60.4 - 4.5

= 55.9

So, if she works for 5.5 hours, she will earn $55.90

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Answer:

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b) P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

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And we can find this probability with this formula from the Bayes theorem:

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Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

X \sim Unif (a=4, b =11)

Part a

The probability density function is given by the following expression:

f(x) = \frac{1}{b-a} , a \leq x \leq b

f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

Part b

We want this probability:

P(X \leq 7)

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}

And replacing we got:

P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

Part c

We want this probability:

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And we can use the CDF again and we have:

P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

Part d

We want this conditional probabilty:

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And we can find this probability with this formula from the Bayes theorem:

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