How do I solve this on my calculator to get the radius?

I have to do Decompose fractions and my problem is 3 over 7 what do I do?

mart [117]

Just simplify them to a decimal by dividing the numerator by the denominator.

4 0

3 years ago

The table below shows the hourly temperatures, for a city in Ohio on February 10, 2012, as predicted by the weatherman at the lo

Rainbow [258]

Answer:

Boy I am cool. Boy I am cool. Boy I am cool. Boy I am cool. Boy I am cool. Boy I am cool. Boy I am cool. Boy I am cool. Boy I am cool. Boy I am cool.

Step-by-step explanation:

8 0

3 years ago

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In Sweden, 10 people are struck by lightning every year, on average. Answer thefollowing questions about a given year in Sweden

emmainna [20.7K]

Answer:

a) 19.85% probability that a total of two people are struck by lightning during first four months of the year.

b) 22.68% probability that the year has 5 good and 7 bad months

Step-by-step explanation:

We are going to use the Poisson distribution and the binomial distribition to solve this question.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

a.Find the probability that a total of two people are struck by lightning during first four months of the year.

10 people during a year(12 months).

In 4 months, the mean is $\mu = \frac{10*4}{12} = 3.33$

This is P(X = 2).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-3.33}*(3.33)^{2}}{(2)!} = 0.1985$

19.85% probability that a total of two people are struck by lightning during first four months of the year.

b.Say that a month is good is no one is struck by lightning, and bad otherwise. Find the probability that the year has 5 good and 7 bad months.

Probability that a month is good.

P(X = 0), Poisson

The mean is $\mu = \frac{10*1}{12} = 0.8333$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.8333}*(0.8333)^{0}}{(0)!} = 0.4346$

Find the probability that the year has 5 good and 7 bad months.

Now we use the binomial distribution, we want P(X = 5) when n = 12, p = 0.4346. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{12,5}.(0.4346)^{5}.(0.5654)^{7} = 0.2268$

22.68% probability that the year has 5 good and 7 bad months

3 0

3 years ago

A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ●

babymother [125]

Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

$1.6 \times 0.8 = 1.28m {}^{2}$

Area of circular piece=

$\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2}$

Area of rectangular piece=

$0.2 \times 0.15 = 0.03m {}^{2}$

Area of 2 triangular pieces=

$2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2}$

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

$1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2}$

4 0

2 years ago

How many different menus showing 10 main courses can a restaurant make if it has 15 main courses from which to choose? 360,360 3

PtichkaEL [24]

Answer:

3003

Step-by-step explanation:

The number of differents menus containing 10 main courses that the restaurant can make if it has 15 main courses from which to chose is calculated through the combination: 15C10. The formula of the combination is: nCr = n! / ((r!) x(n - r)!)

Where r=10 and n=15

Substituting the values to the equation: 15C10 = 15! / (10!)x(10 - 5)! = 3003

Then there are 3003 different menus that a restaurant can makeif it has 15 main courses from which to choose.

5 0

2 years ago

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How do I solve this on my calculator to get the radius?​

How do I solve this on my calculator to get the radius?