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3 years ago

Which expression is equivalent to

Mathematics

2 answers:

Natalka [10]3 years ago

7 0

Answer:

A and b

Step-by-step explanation: Because ....

Zinaida [17]3 years ago

3 0

I think it’s a and b

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Consider two independent tosses of a fair coin. Let A be the event that the first toss results in heads, let B be the event that

aliina [53]

Answer with Step-by-step explanation:

We are given that two independent tosses of a fair coin.

Sample space={HH,HT,TH,TT}

We have to find that A, B and C are pairwise independent.

According to question

A={HH,HT}

B={HH,TH}

C={TT,HH}

$A\cap B=$ {HH}

$B\cap C$ ={HH}

$A\cap C$ ={HH}

P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}$

Using the formula

Then, we get

Total number of cases=4

Number of favorable cases to event A=2

$P(A)=\frac{2}{4}=\frac{1}{2}$

Number of favorable cases to event B=2

Number of favorable cases to event C=2

$P(B)=\frac{2}{4}=\frac{1}{2}$

$P(C)=\frac{2}{4}=\frac{1}{2}$

If the two events A and B are independent then

$P(A)\cdot P(B)=P(A\cap B)$

$P(A\cap)=\frac{1}{4}$

$P(B\cap C)=\frac{1}{4}$

$P(A\cap C)=\frac{1}{4}$

$P(A)\cdot P(B)=\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}$

$P(B)\cdot P(C)=\frac{1}{4}$

$P(A)\cdot P(C)=\frac{1}{4}$

$P(A)\cdot P(B)=P(A\cap B)$

Therefore, A and B are independent

$P(B)\cdot P(C)=P(B\cap C)$

Therefore, B and C are independent

$P(A\cap C)=P(A)\cdot P(C)$

Therefore, A and C are independent.

Hence, A, B and C are pairwise independent.

6 0

3 years ago

During a 20 kilometer hike, Deana consumed 334 quarts of water. What was Deana's average water consumption in quarts per kilomet

boyakko [2]

Answer:

16.7 quarts/km

Step-by-step explanation:

Distance = 20 km
Water consumed = 334 quarts

<u>Water consumption rate is:</u>

334 quarts / 20 km = 16.7 quarts/km

8 0

3 years ago

Who are in favor of the park.

Lostsunrise [7]

Answer:

Step-by-step explanation:

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3 years ago

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Please help me: -3/4(8h + 12) = 3(n - 3)

marishachu [46]

Answer:

n = 0

Step-by-step explanation:

$-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0$

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3 years ago

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Markers are sold in boxes, packs, or as single markets. Each box has 10 packs. Each pack has 10 markers. Draw a picture to show

Lapatulllka [165]

You could buy 276 single markers, you can buy 28 packs of markers, or 3 boxes of marker because 1pack = 10 markers, 10 markers multiplied by 10 packs equals 100. So 1 box would have 100 markers in it and if you took 2 boxes you would be missing 76 markers, so you're better off getting 3 boxes and having 300 markers than being less by 76.

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4 years ago

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