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zaharov [31]
3 years ago
6

A special roulette wheel, which has an equal number of red and black spots, has come up red four times in a row. Assuming that t

he roulette wheel is fair, what concept allows a player to know that the probability the next spin of the wheel will come up black is 0.5?
Concept of independent events
Concept of mutually exclusive events
Concept of dependent events
Concept of mutually inclusive events
Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

Concept of independent events

Step-by-step explanation:

Given that a special roulette wheel, which has an equal number of red and black spots, has come up red four times in a row.

We can assume that the roulette wheel is fair

We find that each time the result of a spin is independent of all the previous ones.

In other words, each spin result will not be affected by how many red or other got in the previous spins.

Mutually exclusive events are disjoint events so not right here.  Dependent is wrong because here independent.

So the concept here is

Concept of independent events

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If h(x) = (fºg)(x) and h(x)= 5(x+1)^3 find one possibility for f (x) and g(x).
viktelen [127]

Answer:

One possibility is that;

g(x) = (x + 1)

while h(x) = 5x^3

Step-by-step explanation:

Here, we are told to find one possibility for f(x) and g(x)

The term h(x) = (Fog)(x) means that we are inserting g(x) into f(x) to give h(x)

Now let’s have it this way;

We can see that g(x) = (x + 1) , then h(x) = 5x^3

This is one possibility of the values of g(x) and h(x)

6 0
3 years ago
Mary’s coffee shop borrowed $9,850 for new chairs and tables. The money was borrowed for 9 months at 9 ¼ % discounted rate, what
Greeley [361]
Let
M---------------> money borrowed -------------> <span>$9,850
r--------------> </span>discounted rate--------> <span>9 ¼=9.25-------> 0.0925
t---------------> time--------> </span><span>9 months=9*30=270 days
D-------------> </span><span>amount of the discount

we know that
D=M*r*t/360=(9850)*(0.0925)*(270/360)=683.34

the answer is $683.34</span>
6 0
2 years ago
The question is in the photo :) i’m struggling
amm1812
A is 10% and B is 5%
4 0
3 years ago
Which shows the ratio 44 to 200 written as a percent a decimal and a fraction in simplest form
BabaBlast [244]
Decimal= 0.22
44÷200=0.22
Fraction= 11/50
44/200÷2= 22/100
22/100÷2= 11/50
4 0
3 years ago
The average diameter of sand dollars on a certain island is 4.00 centimeters with a standard deviation of 0.60 centimeters. If 1
blagie [28]

Answer:

0.8413 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.00 centimeters

Standard Deviation, σ = 0.60 centimeters

Sample size, n = 16

We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.60}{\sqrt{16}} = 0.15

P(diameter of sample is more than 3.85 centimeter)

P(x > 3.85)

P( x > 3.85) = P( z > \displaystyle\frac{3.85 - 4}{0.15}) = P(z > -1)

= 1 - P(z \leq -1)

Calculation the value from standard normal z table, we have,  

P(x > 3.85) = 1 -0.1587 = 0.8413

0.8413 is the probability that the  the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.

4 0
3 years ago
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