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Shtirlitz [24]
4 years ago
15

According to the empirical rule, if the data form a "bell-shaped" normal distribution, ________ percent of the observations will

be contained within 2 standard deviations around the arithmetic mean.

Mathematics
1 answer:
jekas [21]4 years ago
5 0
According to empirical rule, the area under the normal distribution or "bell-shaped curve", when plotted as a function of the z-parameter can be defined in terms of percentages.
The z-parameter (or z-score) is defined as
z= \frac{x- \mu }{ \sigma }
where
x =  value of random variable,
μ = the mean,
σ = standard deviation,

The total area under the curve = 1.
The curve below shows that within 2 standard deviations from the mean, the total area under the curve is 95%  of the total area.



Answer: 95%

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A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\dia
Gnoma [55]

Answer:

The number of ways to select 2 cards from 52 cards without replacement is 1326.

The number of ways to select 2 cards from 52 cards in case the order is important is 2652.

Step-by-step explanation:

Combinations is a mathematical procedure to compute the number of ways in which <em>k</em> items can be selected from <em>n</em> different items without replacement and  irrespective of the order.

{n\choose k}=\frac{n!}{k!(n-k)!}

Permutation is a mathematical procedure to determine the number of arrangements of <em>k</em> items from <em>n</em> different items respective of the order of arrangement.

^{n}P_{k}=\frac{n!}{(n-k)!}

In this case we need to select two different cards from a pack of 52 cards.

  • Two cards are selected without replacement:

Compute the number of ways to select 2 cards from 52 cards without replacement as follows:

{n\choose k}=\frac{n!}{k!(n-k)!}

{52\choose 2}=\frac{52!}{2!(52-2)!}

      =\frac{52\times 51\times 50!}{2!\times50!}\\=1326

Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.

  • Two cards are selected and the order matters.

Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:

^{n}P_{k}=\frac{n!}{(n-k)!}

^{52}P_{2}=\frac{52!}{(52-2)!}

       =\frac{52\times 51\times 52!}{50!}

       =52\times 51\\=2652

Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.

6 0
4 years ago
Solve the equation, and check the solution. w/3 = 0.9 (The w is a variable for the fraction)
zheka24 [161]

Answer:

w = 2.7

Step-by-step explanation:

To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.

3 0
3 years ago
Solve for x. Geometry plz help
SCORPION-xisa [38]

- The solution/answer is 10.

4 0
3 years ago
Read 2 more answers
Lisa sold 11 shirts for every 7 shirts Becky sold. If the girls sold 72 shirts in all, how many shirts did Becky sell?
Eva8 [605]

Answer: 28 shirts

Step-by-step explanation:

From the question, we are informed that Lisa sold 11 shirts for every 7 shirts Becky sold. This can be expressed in a fraction as:

Lisa = 11/(11 + 7) = 11/18

Becky = 7/(11 + 7) = 7/18

If the girls sold 72 shirts in all, the number of shirts sold by Becky will be:

= 7/18 × 72

= 7 × 4

= 28

8 0
3 years ago
PLEASE HELP!! DUE SOON
mrs_skeptik [129]

Answer:

b=3a/8

a=8b/3

Step-by-step explanation:

b/a=k ( k is the constant proportional)

3/8=9/24=15/40

b/a=3/8

b=3a/8

a=8b/3

I hope this is right answer

7 0
3 years ago
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