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1 year ago

What can I do to get my experimental probability closer to the theoretical probability?

Mathematics

1 answer:

Degger [83]1 year ago

8 0

Answer:

The more trials you carry out

Step-by-step explanation:

(for example, the more times you toss the coin), the closer the experimental probability is likely to be to the theoretical probability.

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Which choice is equivalent to the quotient below?

Hoochie [10]

None of the choices are equivalent
64/4 is 16
a is 4
b is 4
c is 2
d is 1

4 0

1 year ago

2 tan 30°<br>II<br>1 + tan- 300

shusha [124]

Question:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$

Answer:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= sin(60^{\circ})$

Step-by-step explanation:

Given

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$

Required

Simplify

In trigonometry:

$tan(30^{\circ}) = \frac{1}{\sqrt{3}}$

So, the expression becomes:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}$

Simplify the denominator

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}$

Express the fraction as:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2}{\sqrt 3} / \frac{4}{3}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2}{\sqrt 3} * \frac{3}{4}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{1}{\sqrt 3} * \frac{3}{2}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3}{2\sqrt 3}$

Rationalize

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3\sqrt{3}}{2* 3}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\sqrt{3}}{2}$

In trigonometry:

$sin(60^{\circ}) = \frac{\sqrt{3}}{2}$

Hence:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= sin(60^{\circ})$

3 0

2 years ago

Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.

creativ13 [48]

Answer:

yes

Step-by-step explanation:

15.3-7.9=7.4

7 0

2 years ago

Need some help, Thank you!!! ^^

stira [4]

Given:

$3b+8\geq 14$

To find:

The steps to solving the given inequality.

Solution:

We have,

$3b+8\geq 14$

Subtract 8 from both sides.

$3b+8-8\geq 14-8$

$3b\geq 6$

Divide both sides by 3.

$\dfrac{3b}{3}\geq \dfrac{6}{3}$

$b\geq 2$

Two steps are:

1. Subtract 8 from both sides of the inequality.

2. Divide both sides of the inequality by 3.

Therefore, the correct option is A.

4 0

2 years ago

A thrift store was selling an Atari 2600 for $80 before deciding to have a

-BARSIC- [3]

Answer:43.2

Step-by-step explanation:

first you do 80-40% and then -10%

5 0

2 years ago