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3 years ago

Josh plays a game where he flips a coin and rolls a number cube. List all of the possible outcomes below.

Mathematics

2 answers:

nekit [7.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

In tossing a coin you have just two possible outcomes: heads or tails.

In rolling a number cube you have six possible outcomes: {1, 2, 3, 4, 5, 6}

So the possible overall outcomes (coin and cube) are as follows:

head, 1

head, 2

head, 3

head, 4

head, 5

head, 6

tails, 1

tails, 2

tails, 3

tails, 4

tails, 5

tails, 6

Bad White [126]3 years ago

3 0

Heads 1
Tails 1
Heads 2
Tails 2
Heads 3
Tails 3
Heads 4
Tails 4
Heads 5
Tails 5
Heads 6
Tails 6

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Find the indicated probability. Round to three decimal places. The participants in a television quiz show are picked from a larg

Arturiano [62]

Answer:

0.033

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, p = 0.5, q = 0.5, and n = 11.

We need to find P when r is 0, 1, and 2, then add up the results to get the total probability.

r = 0:

P = ₁₁C₀ (0.5)⁰ (0.5)¹¹⁻⁰

P ≈ 0.0005

r = 1:

P = ₁₁C₁ (0.5)¹ (0.5)¹¹⁻¹

P ≈ 0.0054

r = 2:

P = ₁₁C₂ (0.5)² (0.5)¹¹⁻²

P ≈ 0.0269

Therefore, the total probability is:

P = 0.0005 + 0.0054 + 0.0269

P = 0.0328

Round to the thousandths place, the probability is 0.033.

3 0

3 years ago

the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate popul

aleksklad [387]

Given:

a.) The population of Arizona is estimated to increase by 6.2% every year.

b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

$\text{ P = P}_0e^{rt}$

Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

$\text{ P = P}_0e^{rt}\text{ = (4,180,000)(}2.71828182845)^{0.062(6)}$ $\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}$

Therefore, the population in 2022 will be approximately 6,063,646.

7 0

1 year ago

Volume of a cone = r²h,

inessss [21]

Answer:

7.5 m 457.5 $\pi$ $m^{2}$

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = $\frac{1}{3} \pi r^{2}h$ .