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prohojiy [21]
2 years ago
14

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

ncreased to 420. Find the rate of growth after 3 hours.
Mathematics
2 answers:
Assoli18 [71]2 years ago
8 0

Step-by-step explanation:

Rate of growth equals 420/100 = 4.2 times per hour

So after t=three hours,

size of culture = 100*(4.2)^t = 100*4.2^3=7408.8 bacteria,

round to nearest unit 7409 bacteria after three hours (after initial size of 100).

prohojiy [21]2 years ago
6 0

Answer:

a) 100•4.2^t

b) P(3)= about 7409 bacteria

c) P’(3)= about 10,632 bacteria per hour

d) t= about 3.2 hours

Step-by-step explanation:

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The expression
swat32

Answer:

The expression

1

÷

1/4

is given. Give a real-life application to explain this expression and then simplify it.

Given a life expression to solve this, when one divide 100 pieces of pencil by 25 which is 1/4 of the entire pencil.

1/1/4=1 x 4/1

=4

Step-by-step explanation:

divide 1 by 1 over 4, then using cross multiply

then we have 1 multiply 4 divided by 1

4 is the final answer

6 0
2 years ago
Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this pop
Gnesinka [82]

Answer:

The  probability is  P(0.35

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  175

   The population proportion is  p =  0.45

   

Generally the mean of the sampling distribution is  \mu_{x} =  0.45

 Generally the standard deviation is mathematically represented as  

        \sigma_{x} =  \sqrt{\frac{p (1-p)}{n} }

=>      \sigma_{x} =  \sqrt{\frac{0.45 (1-0.45)}{175} }

=>      \sigma_{x} = 0.0376

Generally the probability of  that the sample proportion of orange candies will be between 0.35 and  0.55 is  

      P(0.35 <  X < 0.55) =  P( \frac{0.35 - 0.45}{0.0376} <  \frac{X -\mu_{x}}{\sigma_{x}}  <  \frac{0.55 - 0.45}{0.0376} )

=>   P(0.35

Generally \frac{X - \mu_{x}}{\sigma_{x}}  =  Z  (The \  standardized \  value \  of  X)

So

    P(0.35

=>  P(0.35

From the z-table  

    P(  Z< 2.6595 ) = 0.99609

and

    P(  Z< - 2.6595 ) = 0.0039128

So

   P(0.35

=> P(0.35

3 0
2 years ago
A certain monthly magazine has both print and online subscribers. Print subscribers are people who pay to have the magazine phys
pentagon [3]

<em>The sample population of interest is </em><em>50 online subscribers.</em>

<em>Sample population of interest</em> is said to be the <u>total number of people </u>one is considering for a particular study. In this question, online subscribers. This means the total people being considered for making the particular study.

to learn more, visit brainly.com/question/16720016

4 0
2 years ago
I need #14 to be answered if you want you can answer more ❤️
stepladder [879]

Answer:

H-40

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Simplify 3x + (-12x) - 5x.
lutik1710 [3]
3x - 12x - 5x
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answer
-14x
4 0
3 years ago
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