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2 years ago

What is the theoretical probability of rolling all 5 dice on the same number?

1 answer:

4 0

The theoretical probability of (for example) rolling 5 ones is 1/(6^5) or approximately 0.013%. Because it doesn't matter which number we get five of we can multiply it by 6 to get 1/(6^5) or approximately 0.077%.

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Determine whether the number could be the probability of an event. Explain your reasoning. -0.25

mr Goodwill [35]

yo sup??

The number can't be a probability of an event cause probability of an even lied between 0 and 1 whereas the number given to use is -0.25.

Since probability can't be negative therefore it isn't a probability of an event.

Hope this helps.

8 0

2 years ago

18)

kondor19780726 [428]

If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.

7 0

2 years ago

First five common multiples of 7and 20

gulaghasi [49]

The first 5 Multiples of 7 are 35, 70, 105, 140, 175
The first 5 Multiples of 20 are: 20, 40, 60, 80, 100

4 0

2 years ago

When is 20% off better than 20$ off

Crazy boy [7]

Answer:

Price > 100$

Price > 150$

Step-by-step explanation:

Let us assume that x% off of price y$ is better than x$ off.

Hence, $\frac{xy}{1000} > x$

Hence, y > 100

Therefore, when the price is more than 100$, then only x% off on the price is better than x$. (Answer)

Again, assume that 20% off on price y$ is better than 30$ off.

Hence, $\frac{20y}{100} > 30$

⇒ y > 150$

Therefore, when the price is more than 150$, then only 20% of on the price is better than 30$ off. (Answer)

7 0

2 years ago

Consider the function f(x)= 2/5x-4

Gre4nikov [31]

Answer: a) $\frac{5}{2}x+10=f^{-1}(x)=g(x)$

Step-by-step explanation:

Since we have given that

$f(x)=\frac{2}{5}x-4$

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

$y=\frac{2}{5}x-4$

Switching x to y , we get

$x=\frac{2}{5}y-4$

$5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)$

b) . Use composition to show that f(x) and g(x) are inverses of each other.

$\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x$

Similarly,

$\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x$

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.

5 0

2 years ago