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3 years ago

Hello help pls :3333333 I only need the answer to part B which asks about the mean

Mathematics

2 answers:

statuscvo [17]3 years ago

8 0

Answer:9

Step-by-step explanation:

Nastasia [14]3 years ago

5 0

Add all the numbers up

0 + 1 + 2 + 3 + 4

= 10

Divided 10 by 5 because there are 5 numbers

10 / 5 = 2

Therefore the mean will be 2

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A biologist observed that a certain bacterial colony obeys the population growth law and that the colony triples every 4 hours.

MrRa [10]

Answer:

a) $P(t) = 2e^{0.275t}$

b) 54.225 square centimeters.

c) 2.52 hours

Step-by-step explanation:

The population growth law is:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t hours, $P_{0}$ is the initial population and r is the growth rate, as a decimal.

In this problem, we have that:

The colony occupied 2 square centimeters initially, so $P_{0} = 2$

The colony triples every 4 hours. So

$P(4) = 3P_{0} = 6$

(a) An expression for the size P(t) of the colony at any time t.

We have to find the value of r. We can do this by using the P(4) equation.

$P(t) = P_{0}e^{rt}$

$6 = 2e^{4r}$

$e^{4r} = 3$

Applying ln to both sides, we get:

$4r = 1.1$

$r = 0.275$

$P(t) = 2e^{0.275t}$

(b) The area occupied by the colony after 12 hours.

$P(t) = 2e^{0.275t}$

$P(12) = 2e^{0.275*12}$

$P(12) = 54.225$

(c) The doubling time for the colony?

t when $P(t) = 2P_{0} = 2*2 = 4$ .

$P(t) = 2e^{0.275t}$

$4 = 2e^{0.275t}$

$e^{0.275t} = 2$

Applying ln to both sides

$0.275t = 0.6931$

$t = 2.52$

4 0

3 years ago

PLZ HURRY! Identify a Venn diagram to show how many students in the sixth grade belong to both cultural and sports team.

REY [17]

On one side of the venn diagram label it cultural team on the other side label sports team and in the middle put both

cultural will have: 5 students for YES (idk if you need for NO but if so, it’s 6)

sports will have: 5 students for YES (6 for NO)

both will have: 2 SETS of students for YES which is 4 students (3 SETS of students for NO which is 6 students)

i hope it’s correct <3

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4 years ago

How do you write 1.6 × 102 in standard form?

tigry1 [53]

160 is 1.6 x 10 2 in standard form.

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3 years ago

Bryan is paid $32 dollars per hour and works 8 hours per day. He receives one paid day off each 16 days that he works. What is h

Irina-Kira [14]

Over 17 days, he gets 32*17*8=4352 dollars. However, he only works for 8*16=128 hours (since he gets one day off), so 4352/128 would be 34 dollars an hour. Hope this helps!

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3 years ago

Is [0,2) is compact in R?

quester [9]

Answer:

no it is not compact in R

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3 years ago