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Mamont248 [21]
3 years ago
7

Explain how the complement can be used to find the probability of getting at least one item of a particular type

Mathematics
1 answer:
valkas [14]3 years ago
5 0
The outcome A="At least one" means {1,2,3,4,5......n}   where n is the maximum possible outcome.

The only other outcome (B) left (i.e. the complement of the above event "at least one") is (B)={0}.

Therefore, by Kolmogorov's second axiom, A and B are complements, and
P(A)+P(B)=1
therefore
P(A)=1-P(B), or in words,
Probability of outcomes of "at least one" is the complement of the outcome of "0" item.
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Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more
eimsori [14]

Total height of lumber, H = 10 1/2 feet = 21/2 feet .

Height of side panel, h = 5 2/3 feet = 17/3 feet .

Now,

Extra lumber required, L = 2 × Height of side panel - Total height of lumber

L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet

Therefore, extra lumber required is \dfrac{5}{6} feet.

Hence, this is the required solution.

4 0
3 years ago
Rewrite the expression g+1/6d-3/4g+1/9g-g+1/4d in standard from by combining like terms I need this ASAP AND I NEED ALL STEPS TO
GarryVolchara [31]

Answer:

(5/12)d - (23/36)g

Step-by-step explanation:

First you can eliminate g and -g to get (1/6)d - (3/4)g + (1/9)g + (1/4)d. Then you need to get common denominators to add like terms together.

1/6 = 4/24 and 1/4 = 6/24. Add them together to get (10/24)d or (5/12)d.

-3/4 = -27/36 and 1/9 = 4/36. Add them together to get (-23/36)g.

So in standard form, (5/12)d - (23/36)g

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3 years ago
What's the reading of 32651?
Nuetrik [128]
Thirty-two thousand six hundred fifty-one
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3 years ago
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The students at Desert Springs middle school thinks 70% of the teachers care about them. Enter the fraction of the teachers that
Yanka [14]

Answer:

7/10

Step-by-step explanation:

The students at Desert Springs middle school thinks 70% of the teachers care about them.

The fraction of the teachers that the students think cares about them is given as:

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= 70/100

= 7/10

Therefore, the fraction of the teachers that the students think cares about them is 7/10

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3 years ago
What are the domain and range of f(x) = (1/6)x + 2?
Black_prince [1.1K]
F(x)=x/6+2

There is no restriction upon the values of x, or the values of y.

So the domain and range are both the set of all real numbers.

x=(-oo, +oo) and y=(-oo, +oo)

This can be further seen by the fact that this is a line with a slope of 1/6.  So there is no restriction upon x as all values of x produce real values of y.  And y approaches -oo as x approaches -oo and y approaches +oo as x approaches +oo.
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3 years ago
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