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Dmitry [639]
3 years ago
5

A culture started with 2,000 bacteria. After 2

Mathematics
1 answer:
xenn [34]3 years ago
3 0

Answer:

2450

Step-by-step explanation:

First you will divide;

200÷4=50

Then you multiply;

50×9=450

Last you add;

2000+450=2450

Hope this helps :D

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Why does 5x2/3 =10x1/3
lesya [120]

Answer:

yes it has

Step-by-step explanation:

The numerators of the eqations equates themselves likewise the denominator

numerators=10

denominators=3

7 0
3 years ago
898÷91,596 what is the answer
Dmitrij [34]

Answer:

For 100, your answer will be 102; For 898, your answer will be x; 100*x = 102*898 ... 102/x = 100/898 or x/102 = 898/100; x = 898*102/100 = 91596/100 = 915.96.

Hope this helps ∝

∅¬∅

7 0
3 years ago
Read 2 more answers
The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.
MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle =3\times\ side

3\times\ side =[tex]81\sqrt{3}

Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm

Thus from the diagram , Side AB=BC=AC= 27\sqrt{3} \ cm

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus \angle OBC = 30°

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2}  } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\

Thus ,apothem  OE= 13.5 cm

Now for radius,

We consider ΔOBE

cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB}  \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0
3 years ago
The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr
max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X \sim Bin (<em>n</em> = 5, <em>p</em> = 1/33).

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.

A random sample of <em>n</em> = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable <em>X</em> satisfies all criteria of a Binomial distribution.

The criteria are:

  • Number of observations is constant
  • Independent trials
  • Each trial has only two outcomes: Success and Failure
  • Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).

7 0
3 years ago
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Which set of points represents a function?
Vesnalui [34]
Is there a picture for this question or options ?
7 0
3 years ago
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