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Rudik [331]
3 years ago
14

Brittany drove 320 miles in 4 hours. Lauren drove 280 miles in 4 hours. At these rates, how many more miles can Brittany drive i

n 5 hours than Lauren?
Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

50 miles

Step-by-step explanation:

For Brittany

Brittany drove 320 miles in 4 hours.

4 hours = 320 miles

5 hours = x miles

Cross Multiply

4hours × x = 5 hours × 320 miles

x = 5 hours × 320 miles/4 hours

x = 400 miles

For Lauren

Lauren drove 280 miles in 4 hours.

4 hours = 280 miles

5 hours = x miles

Cross Multiply

4hours × x = 5 hours × 280 miles

x = 5 hours × 280 miles/4 hours

x = 350 miles

At these rates, the number of miles can Brittany drive in 5 hours than Lauren is calculated as:

Number of miles Brittany drives in 5 hours - Number of miles Lauren drives in 5 hours

= 400 miles - 350 miles

= 50 miles

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HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
Convert 27 cubits to fathoms
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27 cubits =
6.75 fathoms

5 0
3 years ago
17. Evaluate each pair of expressions.<br> a. (-3)-8 and -3-8<br> b. (-3)-9 and -3-9
Semmy [17]
A = -11
B= -12

This is because of how calculations work in negatives. Because they are both negative they work similarly to addition
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valkas [14]

Answer:

a

Step-by-step explanation:

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sergiy2304 [10]

Answer:

The transaction will be recorded by the company as :

DR : Non-collectibles $5670  

CR : Accounts receivable $5670

Step-by-step explanation:

Amount of money estimated = $5670

The amount which is non-collectible is recorded as a DEBIT transaction by the company because the amount in the non-collectible account can't be received by the company.

But, the amount in the receivables is the amount which is available for receiving and can be received by the company. So, receivable transaction is marked as CREDIT by the company.

Thus, the transaction will be recorded by the company as :

DR : Non-collectibles $5670  

CR : Accounts receivable $5670

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