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DENIUS [597]
3 years ago
5

07.03 LC)

Mathematics
2 answers:
SOVA2 [1]3 years ago
7 0
Question \ 1)  

Probability \ is \ simply \ how \ likely \ something \ is \ to \ happen.
We \ get \ the \ probabilities \ by \ dividing \ the \ frequencies \ by \ the \ total.
The \ probability \ of \ an \ event \ can \ only \ be \ between \ 0 \ and \ 1and \ can \ also \ be \ written \ as \ a \ percentage. 

The \ best \ example \ for \ understanding \ probability \ is \ flipping \ a \ coin:

There are two possible outcomes ------\ \ heads or tails.

Probability \ is \ always \ out \ of 100 \% 

\dfrac{P}{100\%} 

20\% =  \dfrac{20}{100} = 0.20 \ as \ a \ decimal 

0.2 * 500 = 100 

Question \ 2)   x+y+z=24 

7+8+9 = 24 =\ \textgreater \  Number \ of \ roses 

\dfrac{9}{24} *  \dfrac{8}{23} =  \dfrac{72}{552} 

Question \ 3) 

5 = Number \ of \ 2 

100 =  Total 

=\ \textgreater \   \dfrac{5}{100} 

Question \ 4)  x+y+z=16 

1 + 5 + 10 = 16, Total \ Number 

\dfrac{10}{16}* \dfrac{9}{15} = Solution 
Inga [223]3 years ago
4 0
Q1.\\p\%=\dfrac{p}{100};\ 20\%=\dfrac{20}{100}=0.20=0.2\\\\20\%-French\ of\ 500\ people\\\\0.2\cdot500=100\leftarrow Answer


Q2.\\\dfrac{white}{all}\cdot\dfrac{yellow}{all-1}\\\\7+8+9=24-number\ of\ all\ roses\\\\\dfrac{9}{24}\cdot\dfrac{8}{24-1}=\dfrac{9}{24}\cdot\dfrac{8}{23}=\dfrac{72}{552}\leftarrow Answer


Q3.\\5-number\ of\ 2\\100-number\ of\ all\\\\\dfrac{5}{100}\leftarrow Answer


Q4.\\1+5+10=16-number\ of\ all\ marbles\\\\\dfrac{10}{16}\cdot\dfrac{10-1}{16-1}=\dfrac{10}{16}\cdot\dfrac{9}{15}\leftarrow Answer
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3h - 10 = 35 ➡ 3h = 35 + 10 ➡ 3h = 45 ➡h = 15

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36

Step-by-step explanation:

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Please Do These Three Equations And Show Work
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2) Add 0.1 to both sides. v/2.2=7.5

Then multiply by 2.2 on both sides.

v=16.5

4) Subtract 1.9 from both sides. -1.3g=-13

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3 years ago
15. Suppose a box of 30 light bulbs contains 4 defective ones. If 5 bulbs are to be removed out of the box.
Naddika [18.5K]

Answer:

1) Probability that all five are good = 0.46

2) P(at most 2 defective) = 0.99

3) Pr(at least 1 defective) = 0.54

Step-by-step explanation:

The total number of bulbs = 30

Number of defective bulbs = 4

Number of good bulbs = 30 - 4 = 26

Number of ways of selecting 5 bulbs from 30 bulbs = 30C5 = \frac{30 !}{(30-5)!5!} \\

30C5 = 142506 ways

Number of ways of selecting 5 good bulbs  from 26 bulbs = 26C5 = \frac{26 !}{(26-5)!5!} \\

26C5 = 65780 ways

Probability that all five are good = 65780/142506

Probability that all five are good = 0.46

2) probability that at most two bulbs are defective = Pr(no defective) + Pr(1 defective) + Pr(2 defective)

Pr(no defective) has been calculated above = 0.46

Pr(1 defective) = \frac{26C4  * 4C1}{30C5}

Pr(1 defective) = (14950*4)/142506

Pr(1 defective) =0.42

Pr(2 defective) =  \frac{26C3  * 4C2}{30C5}

Pr(2 defective) = (2600 *6)/142506

Pr(2 defective) = 0.11

P(at most 2 defective) = 0.46 + 0.42 + 0.11

P(at most 2 defective) = 0.99

3) Probability that at least one bulb is defective = Pr(1 defective) +  Pr(2 defective) +  Pr(3 defective) +  Pr(4 defective)

Pr(1 defective) =0.42

Pr(2 defective) = 0.11

Pr(3 defective) =  \frac{26C2  * 4C3}{30C5}

Pr(3 defective) = 0.009

Pr(4 defective) =  \frac{26C1  * 4C4}{30C5}

Pr(4 defective) = 0.00018

Pr(at least 1 defective) = 0.42 + 0.11 + 0.009 + 0.00018

Pr(at least 1 defective) = 0.54

3 0
3 years ago
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