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4 years ago

Find the unit rate. 60 miles in 5 hours miles per hour

Mathematics

2 answers:

vivado [14]4 years ago

8 0

Answer:

Step-by-step explanation:

60 miles/5 hours = 12 miles/hour

tatyana61 [14]4 years ago

4 0

12 miles per hours is the answer

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last week ms simpson worked 28 hours. She stocked shelves for 45 minutes each our for 14 of those hours.

Kruka [31]

She worked 1050 in costumor service

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4 years ago

The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu

Kazeer [188]

Answer:

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

Step-by-step explanation:

The logistic differential equation is as follows:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

In this problem, we have that:

$K = 1200$ , which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that $\frac{dP}{dt} = 400$ when $P = 200$ . With this, we can find r, that is, the growth rate,

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$400 = 200r(1 - \frac{200}{1200})$

$166.67r = 400$

$r = 2.4$

So the differential equation is:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

3 0

3 years ago

Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those contacts are from his neigh

Naya [18.7K]

<h3>P(call a person not from his neighborhood) = $(\frac{1}{5} )$ </h3>

Step-by-step explanation:

Here, the total number of contacts in the list if Bruce = 25 contacts

The total number of neighbors in the contact = 20 people

Now, let E: Event of calling a person from his neighborhood

So, P(E) = $\frac{\textrm{Total Favorable Outcomes}}{\textrm{Total Outcomes}} = \frac{20}{25} = (\frac{4}{5})$

So, the probability of calling a person from his neighborhood is $(\frac{4}{5} )$

⇒P(E) = $(\frac{4}{5} )$

Now,as we know: P(E) + P(not E) = 1

So, the probability of NOT calling a person from neighborhood

= 1 - probability of calling a person from his neighborhood

$= 1 - (\frac{4}{5}) = \frac{5-4}{5} = (\frac{1}{5})$

⇒P( not E) = $(\frac{1}{5} )$

Hence, P(call a person not from his neighborhood) = $(\frac{1}{5} )$

5 0

3 years ago

Read 2 more answers

A runner is preparing for a marathon that is cut into 5 equal sections. The marathon is 42.95 kilometers long. How long is each

Lisa [10]

Your answer is 21.475km

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3 years ago

Read 2 more answers

Subtract [4 -4 -2] - [4 -3 5]

Diano4ka-milaya [45]

For matrix subtraction, you subtract the corresponding cell of the second matrix from the first. So, looking at the first spot, you have 4 (from the first matrix) - 4 (from the second matrix) = 0 (the first number in the output matrix). Continuing that for the next spot, -4 - -3 = -4 + 3 = -1. Finally, -2 - 5 = -7. This means your answer is [0 -1 -7].

4 0

3 years ago