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ZanzabumX [31]
3 years ago
10

The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone expl

ain how to solve this?
Mathematics
1 answer:
RSB [31]3 years ago
7 0

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

<h3>(1) Calculate how many times the bacteria divide in eleven hours</h3>

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

<h3>(2) Add the orginial size of bacteria into the equation</h3>

(This part is edited)

(orginial size)*2^number of divisions

10*2^{33\\}

=85899345920

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The accompanying data contains the depth​ (in kilometers) and​ magnitude, measured using the Richter​ Scale, of all earthquakes
Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ =  34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth {}                                 Magnitude

0.76 {}                                    0.84

4.93 {}                                    0.47

8.16 {}                                     0.35

33.58 {}                                  1.32

21.2 {}                                     1.61

35.03 {}                                  4.57

10.05 {}                                   5.52

47.91 {}                                    1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{N}}

Where;

x_i = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025  \right )^{2} }{8}} \approx 15.92 \ km

Q₁ = The first quartile = The (n + 1)/4th =  term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th =  term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

4 0
3 years ago
Unknown angle problems with algebra <br> Solve x in the diagram below
Alina [70]

Answer:

35

Step-by-step explanation:

Alright this is like a linear pair. All three angles add up to 180; so this is the set up:

40 + 2x + 30 + 40 = 180

2x + 110 = 180

2x = 70

x=35

8 0
3 years ago
A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet pe
aliya0001 [1]

Answer:

The pebble will hit the ground 8.29 second after it is thrown.

Step-by-step explanation:

Given that,

The height of the pebble after t seconds is given by the equation

h= -16t²+24 t+900.

When the pebble hit the ground, the height of the pebble will be zero.

So putting h=0 in the given equation.

0 = -16t²+24 t+900

⇒-4(4t²-6t-225)=0

⇒4t²-6t-225=0

Applying quadratic formula t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=4, b= -6 and c= -225.

\therefore t=\frac{-(-6)\pm\sqrt{(-6)^2-4.4.(-225)}}{2.4}

⇒ t = 8.29, -6.79

Since time can not negative.

∴t=8.29 seconds.

The pebble will hit the ground 8.29 second after it is thrown.

7 0
3 years ago
Students went on a picnic. They recorded a list of the number of animals
lorasvet [3.4K]

Observation that we can make is min = 10, max = 19, range = 9, Maximum frequency of a number is 12, Average = 12.9, median = 12, mode = 12 it is slightly skewed on the right.

Step-by-step explanation:

  • It is imperative to create a data in a tabular column before analyzing.
  • Once the data is created use tally marks or frequency distribution.
  • Frequency distribution helps the data to provide occurrence of event.
  • Very important to number which is a counting numbers are discrete.
  • Continuous of data are ones which are in decimal.
  • Descriptive statistics is the 1st level of Statistics.
  • It finds, where the data stands. Minimum, Maximum is understandable.
  • Range is at what level data is expanded.
  • Average is the one numeric of a number.
  • Median is the mid point of data
  • Mode is the repetitive number of the data.
  • Skewness is whether data is having extreme directions.
5 0
3 years ago
A cube has a surface area of 486 square meters.<br><br> Find the volume of the cube.
joja [24]
486/6=81
Square root 81 = one side length = 9m
volume = 9^3 = 729
7 0
3 years ago
Read 2 more answers
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