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3 years ago

What is the probability that a dice rolls a 1, three times in a row.

Mathematics

1 answer:

lisov135 [29]3 years ago

6 0

Answer:

1/216 or 0.0046

Step-by-step explanation:

Rolling a '1' one time has a probability of 1/6. Rolling a die three times and getting a '1' each time is an independent event, meaning that no roll affects the probability of a '1' happening on any other roll. When calculating probability of independent events, multiply them together. So the probability of a '1' three times in a row is...

(1/6)(1/6)(1/6) = 1/216 or 0.0046

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find the surface area of the cylinder. Round your answer to the nearest tenth. radius 5cm and height 6cm

worty [1.4K]

Answer:

A≈345.58cm²

Step-by-step explanation:

Radius= 5cm and the Height= 6cm

8 0

3 years ago

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th

Anna [14]

Step-by-step explanation:

We need to show whether

$f^{-1}(x) = g(x)$

$g^{-1}(x) = f(x)$

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

$f(x) = e^x - 1$

we can also write it as:

$y = e^x - 1$

now all we have to do is to make x the subject of the equation.

$y+1 = e^x$

$\ln{(y+1)} = x$

$x=\ln{(y+1)}$

now we'll interchange the variables

$y=\ln{(x+1)}$

this is the inverse of f(x)

$f^{-1}(x)=\ln{(x+1)}$

and it does equal to g(x)

$g(x)=\ln{(x+1)}$

Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

4 0

4 years ago

What is the distance between the points? Round to the nearest tenth if necessary.

Yuri [45]

Answer:

10.7 units

Step-by-step explanation:

distance formula

8 0

3 years ago

2. what is the area of the figure below?

Vera_Pavlovna [14]

For number two, to get the area, multiply 6 and 14 which is 84. C is the answer. I can’t see 3.

8 0

3 years ago

Read 2 more answers

The ratio of North American butterflies to South American butterflies at a butterfly park is 5:3. The ratio of South America but

andreyandreev [35.5K]

Answer: I am not sure exctly what the question is here but if you are wondering how many butterflies tatal for all species here it is:

North American Butterfrlies: 30

South American Butterflies: 18

Europe Butterflies: 12

Step-by-step explanation: To get the total number of butterflies per species you need to mulitply to find the correct ratio given the total number of North American Butterflies is 30

North American Butterflies to South American Butterflies is 5 to 3 so 30/5=6, you then multiply 3*6 to get 18 South American Butterflies.

Then since we now know there are 18 South American Butterflies and the ratio of those to Europe Butterflies are 3 to 2 we take 18/3=6, then multiply 2*6 to get 12 Europe Butterflies.

3 0

4 years ago