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Maslowich
3 years ago
15

While your family is visiting deep creek lake you and your mother decide to go boating. The Rangers charge $6.50 per hour in add

ition to a $25.00 deposit to rent a canoe. If you wish to rent the canoe from 12:30 to 3:30 PM write and solve a linear equation to find the total cost to rent the canoe
Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0

Answer:

The Linear equation is Total \ Cost = 25+6.5h

The Total Cost to rent canoe is $44.5.

Step-by-step explanation:

Given:

deposit to rent a canoe = $25.00

Hourly charge for visiting deep creek lake = $6.50 per hour

we need to rent the canoe from 12:30 to 3:30 PM.

We need to find the total cost to rent the canoe.

Now Total number of hours (h) 12:30 to 3:30 PM = 3 hours

Hence Total Cost  will be equal to deposit to rent a canoe plus Hourly charge for visiting deep creek lake multiplied by number of hours to visit.

Hence framing in equation form we get;

Total Cost to rent canoe = 25+6.5\times h

hence the Linear equation is Total \ Cost = 25+6.5h

Solving the equation we get;

Total Cost = 25+6.5\times3 =25 +19.5 = \$44.5

Hence the Total Cost to rent canoe is $44.5.

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Answer:

P(X \geq 7) = P(X=7) +P(X=8)

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P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

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And replacing we got:

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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 "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

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 for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

3 0
3 years ago
Read 2 more answers
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