What is the value of n? enter your answer in the box.

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

n = 8

Step-by-step explanation:

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

3n = 4 × 6 = 24 ( divide both sides by 3 )

n = 8

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Which of the following statements have the same result? Explain each step in solving each one.

Alecsey [184]

Answer:

Non of the above

$f(x) = 4x - 1 \\ f(1) = 4 - 1 \\ f(1) = 3$

$f(x) = 3x - \frac{1}{4} \\ {f}^{ - 1} (x) = \frac{1}{3x} + \frac{1}{12} \\ {f}^{ - 1} (2) = \frac{1}{6} + \frac{1}{12} \\ {f}^{ - 1} (2) = \frac{1}{4}$

III

$2y + 8 = 4y - 2 \\ - 2y = - 10 \\ y = 5$

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3 years ago

What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.

stealth61 [152]

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$\text{Probability}=\dfrac{4}{6}$

$\text{Probability}=\dfrac{2}{3}$

In decimal form, it can be written as:

$\text{Probability}\approx 0.67$

In percentage form, it can be written as:

$\text{Probability}=\dfrac{2}{3}\times 100$

$\text{Probability}\approx 66.67%$

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are $\dfrac{2}{3}, 0.67$ and $66.67\%$ respectively.