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ikadub [295]
3 years ago
13

There are five marbles in a bag: four are blue, and one is red. What is the probability that blue Marble gets picked?

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Probability of picking blue marble = \frac{4}{5}

Step-by-step explanation:

Given,

Number of blue marbles = 4

Number of red marble = 1

Total number of marbles = 5

To find the probability of picking blue marble

Formula

Probability of an event = (number of occurrence of an event) ÷ (total number of events)

So,

Probability of picking blue marble = \frac{4}{5}

astraxan [27]3 years ago
6 0

Answer:

4/5 or 80%

Step-by-step explanation:

4 out of 5 marbles are blue and 4/5 = .8

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Answer:

31 1/6 feet

Step-by-step explanation:

add 25 2/3 to 5 1/2 to see how far under the surface he is; use common denominator of 6

25 4/6 + 5 3/6 = 30 7/6

30 7/6 is the same as 30 + 1 1/6 so diver must ascend 31 1/6 feet

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2 years ago
Which of the following is equivalent to (2x+3)(x-7)?
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Find all solutions of each equation on the interval 0 ≤ x < 2π.
Korvikt [17]

Answer:

x = 0 or x = \pi.

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}.

\displaystyle \sec{x} = \frac{1}{\cos{x}}.

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}.

This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

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\cos^{2}{x} = 1,

x = k \pi, where k\in \mathbb{Z} (i.e., k is an integer.)

Given that 0 \le x < 2\pi,

0 \le k.

k = 0 or k = 1. Accordingly,

x = 0 or x = \pi.

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Step-by-step explanation:

formula is

y2-y1 / x2-x1

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-4 / 0

slope is undefined

straight vertical line like x = 2 would have an undefined slope

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