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3 years ago

What is the probability that 6 rolls of a fair die will show four exactly 5 times?

Mathematics

1 answer:

storchak [24]3 years ago

6 0

Answer:

very less

Step-by-step explanation:

When rolling a fair 6 sided die 5 times there are 6^5 possible combinations.

Of those, there are 5 ways to roll exactly four sixes, and each of those ways have 5 possible results on the die which has not rolled a six, plus there is 1 way to roll five sixes. 5*5+1=26 combinations with at least four sixes.

Now, take the number of results which fit your conditions, divide by the number of possible results and you get your answer: 26/7776 which can be reduced to 13/3338, a bit less than 0.4%

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To decrease an amount by 18%, what single multiplier would you use?

suter [353]

I believe you would calculate this like so;

We want 18% less than 100% of that amount therefore the single multiplier we would use is as follows:

(100% - 18%) = 82%

Which alternatively = 0.82

Does that make sense? If not I can explain it a bit more. Please let me know.

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3 years ago

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Initial Knowledge Check

Law Incorporation [45]

Answer:

Step-by-step explanation:

We first need to figure out what the equation is for this set of circumstances before we can answer any questions. We will use the equation

$A(t)=P(1+r)^t$ which is just another form of an exponential equation where

(1 + r) is the growth rate, P is the initial investment, and t is the time in years. We will fill in the values we know first to create the equation:

$A(t)=4000(1+.11)^t$ which simplifies to

$A(t)=4000(1.11)^t$

Now we'll just sub in a 1 for t and solve, then a 2 for t and solve.

When t = 1:

A(t) = 4000(1.11) so

A(t) = 4440

When t = 2:

$A(t)=4000(1.11)^2$ which simplifies to

A(t) = 4000(1.2321) so

A(t) = 4928.40

4 0

3 years ago

Without plotting the point (0,-10), tell in which quadrant or on

Harrizon [31]

Y-axis because there is no X

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3 years ago

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A certain smart phone game app allows the player, once a day, to spin a wheel with 8 different sections. Seven of the sections c

prisoha [69]

Answer:

The appropriate hypothesis set for Andraya to test is:

$H_0: p = 0.125$

$H_1: p < 0.125$

Step-by-step explanation:

The makers of the game claim that the wheel has an equally likely probability of landing on each section.

That is, the makers claim that the probability of earning the grand prize is:

$p = \frac{1}{8} = 0.125$

Andraya has played the game for several months and believes that the grand prize occurs less often than the game makers claim.

At the null hypothesis, we test if it happens as often as the makers claim, that is, the proportion is 0.125. So

$H_0: p = 0.125$

At the alternate hypothesis, we test if it happens less ofter than the makers claim, that is, the proportion is less than 0.125. So

$H_1: p < 0.125$

The appropriate hypothesis set for Andraya to test is:

$H_0: p = 0.125$

$H_1: p < 0.125$

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3 years ago

Find the range of f(x)=-3x+1 if the domain is (x=-2,7(

tigry1 [53]

<span>To find the range of this function, simply plug each of the end values into the original equation. In this case, with x of -2, the function becomes f(x) = 6+1 or 7, and with x of 7, the function becomes f(x) = -21+1 or -20. As such, the range of the function is -21 <= f(x) <= 7.</span>

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3 years ago