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2 years ago

How many ways can a person toss a coin 13 times so that the number of heads is between 7 and 10 inclusive?

Mathematics

1 answer:

maks197457 [2]2 years ago

3 0

Answer:

4004

Step-by-step explanation:

The number of combinations of choosing r objects from a group of n is nCr.

So the number of ways to get 7, 8, 9, or 10 heads from 13 coin tosses is:

₁₃C₇ + ₁₃C₈ + ₁₃C₉ + ₁₃C₁₀

= 1716 + 1287 + 715 + 286

= 4004

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Suppose you just received a shipment of twelve televisions. Three of the televisions are defective. If two televisions are rando

qwelly [4]

Answer: The probability that both televisions work is 0.5625 .

The probability at least one of the two televisions does not work is 0.4375.

Step-by-step explanation:

Given : Number of televisions received in shipment= 12

Number of defective televisions received in shipment= 3

Then proportion of defective televisions = $\dfrac{3}{12}=0.25$

Using binomial probability formula, the probability of getting success in x trials is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$

If two televisions are randomly selected, then the probability that both televisions work will be :-

$P(0)=^2C_0(0.25)^0(0.75)^2=(0.75)^2=0.5625$

The probability at least one of the two televisions does not work will be :-

$P(x\geq1)=1-P(0)=1-0.5625=0.4375$

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What is the fraction expressed in lowest terms?

alekssr [168]

3/11 is the simplified version of this fraction

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Jonathon worked at McDonald's 20 hours per week and earned $195.Use the equation 20h=195 to find Komathons hourly wage.

Virty [35]

195 divided by 20 = $9.75
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Dahasolnce [82]

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x=58 degrees

Step-by-step explanation:

The angle is a right angle (90 degrees)

90-32=58

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In a company's first year in operation, it made an annual profit of $405,500. The profit of the company increased at a constant

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