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3 years ago

The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation?

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

Answer: C) There is a probability that the outcome is within 1 standard deviation of the mean.

Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. According to the rule,

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations

Therefore, the correct answer is

C) There is a probability that the outcome is within 1 standard deviation of the mean.

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Someone help I think this is probability but I don’t know

pickupchik [31]

ANSWER

1. 3391680

2. 3876

EXPLANATION

1. We want to find the value of:

$P^{12}_7$

This is called "12 permutation 7"

Permutation function is defined as follows:

$P^n_r\text{ = }\frac{n!}{(n-r)!}$

Therefore, we have that:

$\begin{gathered} P^{12}_7=\frac{12!}{(12\text{ - 7)}!}\text{ = }\frac{12!}{5!} \\ P^{12}_7=\frac{12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5!}{5!} \\ P^{12}_7=\text{ 12 }\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6 \\ P^{12}_7=3391680 \end{gathered}$

2. We want to find:

$C^{19}_{15}$

This is called "19 combination 15"

Combination function is defined as:

$C^n_r=\frac{n!}{(n-r)!\cdot r!_{}}$

Therefore, we have that:

$\begin{gathered} C^{19}_{15}\text{ = }\frac{19!}{(19-15)!\cdot15!}\text{ = }\frac{19!}{4!\cdot15!} \\ ^{}C^{19}_{15}=\frac{19\cdot18\cdot17\cdot16\cdot15!}{4\cdot3\cdot2\cdot1\cdot15!} \\ C^{19}_{15}=\frac{19\cdot18\cdot17\cdot16}{4\cdot3\cdot2\cdot1} \\ C^{19}_{15}=\text{ 3876} \end{gathered}$

7 0

1 year ago

If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?

Kipish [7]

Answer:

The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"

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3 years ago

What type of function can be used to model the scenario?

11111nata11111 [884]

Answer:

linear

Step-by-step explanation:

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3 years ago

Which pairs of angles are vertical angles?

adoni [48]

F,e and h,i are vertical angles i think.

8 0

3 years ago

Read 2 more answers

Find the equation of the problem

pogonyaev

$6\sin^2\theta-\sin\theta=1\ \ \ -1\\\\6\sin^2\theta-\sin\theta-1=0\\\\6\sin\theta-3\sin\theta+2\sin\theta-1=0\\\\3\sin\theta(2\sin\theta-1)+1(2\sin\theta-1)=0\\\\(2\sin\theta-1)(3\sin\theta+1)=0\iff2\sin\theta-1=0\ \vee\ 3\sin\theta+1=0\\\\2\sin\theta=1\ \ |:2\ \ \vee\ \ 3\sin\theta=-1\ \ |:3\\\\\sin\theta=\dfrac{1}{2}\ \vee\ \sin\theta=-\dfrac{1}{3}\\\\$
$\theta=30^o\ \vee\ \theta=150^o\ \vee\ \theta=360^o-\sin^{-1}\left(\dfrac{1}{3}\right)\ \vee\ \theta=180^o+\sin^{-1}\left(\dfrac{1}{3}\right)$

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3 years ago