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3 years ago

- The spinner shown is spun 4 times. What is the probability that you will spin gray at least 2 times?

Mathematics

1 answer:

lisov135 [29]3 years ago

5 0

Answer:

26.17%

Step-by-step explanation:

P(Grey) = 1/4

P(Grey at least 2 times in 4) = 1 - P(no Grey in 4) - P(1 Grey in 4)

P(no Grey in 4) = 4C0 * 3/4 * 3/4 * 3/4 * 3/4 = 81/256

P(1 Grey in 4) = 4C1 * 1/4 * 3/4 * 3/4 * 3/4 = 27/64

P(Grey at least 2 times in 4) = 1 - 81/256 - 27/64 = (256-81-108)/256=67/256=26.17%

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This could be rephrased as:

You start with 100 grams of a substance. One year later you have 70 grams. What is the half-life?

We need this formula:

half-life = (time * natural log (2)) / natural log (beginning amount / ending amt)

half-life = (1 year * .69315) / natural log (100 / 70)

half-life = (.69315) / 0.35667494396

half-life = 1.9433661145 years

Rounding to nearest year half-life = 2 years

Sourse: https://www.1728.org/halflif2.htm

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4 years ago

Un objeto es lanzado verticalmente hacia arriba con una rapidez de 34 m/s

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Answer:

Step-by-step explanation:

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4 years ago

A teacher designs a test so a student who studies will pass94% of the time, but a student who does not studywill pass14% of the

nignag [31]

Answer:

0.868 = 86.8% probability that the student passes.

Step-by-step explanation:

Probability of the student passing:

94% of 91%(when the student studies for the test).

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3 years ago

Assume that θ is an acute angle in a right triangle satisfying the given conditions. Evaluate the 5 remaining trigonometric func

neonofarm [45]

Answer: See step by step. Replace the x with theta

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We can find tangent by using the identity

$tan^{2} (x)+ 1=sec^{2} (x)$ where x is theta.

$tan^{2} (x)+1=\frac{289}{225}$

$tan^{2} (x)+\frac{225}{225} =\frac{289}{225}$

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tan x= $\frac{8}{15}$ , Tangent in the fourth quadrant is negative so the answer is instead

$tan x= -\frac{8}{15}$

We can find cotangent by taking the recipocial of tan so

$cot=-\frac{15}{8}$

We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is

$cos =\frac{15}{17}$

We can find sin by doing quoteint identies.

$\frac{sin x}{cos x} =tan x$

$\frac{ sin x}{15/17} =-\frac{8}{15}$

$sin x= -\frac{8}{17}$

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7 0

3 years ago

Don’t understand pls help

tino4ka555 [31]

Answer:

x = 10

Step-by-step explanation:

The total length of segment PS is 52. To solve for x, we can simply add 5x (which is the length of segment PR) and x-8 (which is the length of segment RS) together and make the equation equal to 52 to solve for x.

5x+x-8 = 52
6x - 8 = 52
6x = 60
x = 10

8 0

3 years ago

Read 2 more answers

- The spinner shown is spun 4 times. What is the probability that you will spin gray at least 2 times?​

- The spinner shown is spun 4 times. What is the probability that you will spin gray at least 2 times?