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2 years ago

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

1 answer:

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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What multiplies to 30 but adds to -7

FinnZ [79.3K]

10 * 3

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2 years ago

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PLEASE HELP<br> 3/4M -12 but m = 32

slava [35]

Answer:

Replace the variable m with 32

in the expression.

3/4⋅(32)−12 Simplify each term.

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Step-by-step explanation:

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2 years ago

Jane had $7 and her sister had $2. Their parents gave each of them an equal amount of money . Then, Jane had twice as much money

slega [8]

Answer:

They each got $3.00

Step-by-step explanation:

7+x = 2(2+x)

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3 years ago

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Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. How many 1/6 foot cubic boxes can she fit int

alexandr402 [8]

Answer: 28 cube boxes.

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

You need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.

The denominator does not change.

Then:

$1\ \frac{1}{6}=\frac{(1*6)+1}{6}=\frac{7}{6}$

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

$V_2=(\frac{7}{6}\ ft)(\frac{1}{3}\ ft)(\frac{1}{3}\ ft)=\frac{7}{54}\ ft^3$

Finally, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:

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2 years ago

How do I solve this properly?

o-na [289]

Answer:

x $\geq$ 4

Step-by-step explanation:

4x^2 - 64 $\geq$ 0 ; move 64 over

4x^2 $\geq$ 64 ; divide by 4

x^2 $\geq$ 16 ; take square root of both sides

x $\geq$ 4

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2 years ago