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postnew [5]
3 years ago
12

It took Hannah 38 minutes to run 8 laps. write this statement as a rate.

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
4 0
Divide the min by laps which is 4.75
likoan [24]3 years ago
3 0
Simply divide the minutes by laps.

38 / 8 = 4.75

Hannah runs 1 lap in 4.75, or 4 3/4 minutes.
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Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo
jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! =  (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

8 0
3 years ago
Expand the expression.<br> -7(k - 3)<br> -7k + 21<br> -k – 21<br> k+ 21<br> -7k - 21
garri49 [273]

Answer:

-43K+42

Step-by-step explanation:

3 0
3 years ago
Write the equation that modeled the sequence 63,-21,7,-7/3,7/9
Ilya [14]

Answer:

an = 63(-1/3)^(n-1)

Step-by-step explanation:

This is a geometric sequence with first term 63 and common ratio -1/3.

The equation for the nth term  is

an = 63(-1/3)^(n-1).

6 0
2 years ago
6x 4y y 5 -2 3x 6 how can I solve this
WITCHER [35]

Answer:

Look below at the image I have provided for you <3

Step-by-step explanation:

I hope this helps!

5 0
2 years ago
What is 128 5/8×2?????? plz helppp​
olya-2409 [2.1K]

Answer:

257.25

Hope This Helps!       Have A Nice Day!!

8 0
2 years ago
Read 2 more answers
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