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2 years ago

PLS HELP WILL GIVE BRAINLIEST AND 20 POINTS TY!

Mathematics

2 answers:

brilliants [131]2 years ago

7 0

Answer: It is B)

Step-by-step explanation: It was 8.66 something and that rounded to the nearest tenth is 8.7

Monica [59]2 years ago

7 0

Answer:

B. 8.7

Step-by-step explanation:

the closest one is but the actual number is 8.6 repeating so 8.7 is correct

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A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,

slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is $\frac{1}{2}$ , in the second is $\frac{1}{4}$ , in the third is $\frac{1}{8}$ and so on. Then, P(C) is given by the next sum:

$P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1$

This is a geometric series with factor $\frac{1}{2}$ . Then is convergent to $\frac{1}{1-\frac{1}{2}}-1=1.$ . With this we have proved that P(C)=1.

Now, observe that

$P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.$

Then

$P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}$

$P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}$

$P(C1\cap C2)=P(TTTTH)=\frac{1}{32}$

and

$P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}$

5 0

3 years ago

Permutation question pictured! Thanks :)

lozanna [386]

Answer:

3,160,080

Step-by-step explanation:

The first place can be taken by any one of the 22 students.
The second place can be taken by any one of the remaining 21 students.
The third place can be taken by any one of the remaining 20 students.
The fourth place can be taken by any one of the remaining 19 students.
The fifth place can be taken by any one of the remaining 18 students.

This basically means multiplying 22, 21, 20, 19, and 18. Or, the number of permutation of 22 things taken 5 at a time.

The answer is 22*21*20*19*18 = 3,160,080

Using formula $nPr=\frac{n!}{(n-r)!}=\frac{22!}{(22-5)!}=\frac{22!}{17!}=(22*21*20*19*18)=3,160,080$

6 0

3 years ago

Please help What is the simplified expression for 2^2 x 2^3/ 2^4

jonny [76]

2^1 because when you times indices you add the indices and when you divide you subtract it

8 0

2 years ago

Ariana has a large piece of fabric that she wants to use to make some scarves. The number N of scarves she can make is inversely

AveGali [126]

Answer:

9 scarves.

Step-by-step explanation:

We have been given that the number N of scarves Ariana can make is inversely proportional to the area A of each scarf.

We know that equation of two inversely proportional quantities in in form $y=\frac{k}{x}$ , where, k is constant of variation and y is inversely proportional to x.