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3 years ago

what is the algebraic expression for the following word phrase: the quotient of 7 and the sum of 3 and z

Mathematics

1 answer:

MrRa [10]3 years ago

5 0

I believe it would be 7/(3+z)

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700 divided by 12 <br> Please help me

kogti [31]

700/12 equals 58 and 1/3.

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3 years ago

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What is the answer for <br> 15 + b =23

riadik2000 [5.3K]

15 plus 8 equals 23.

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3 years ago

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A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0

yawa3891 [41]

Answer:

(a) 0.1719

(b) 0.3504

Step-by-step explanation:

For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{10-x}$

Where n is 10 and p is the probability to get head. it means that p is equal to 0.5 for the fair coin and 0.3 for the biased coin

So, for the fair coin, the probability that the number of heads is less than 4 is:

$P(x$

Where, for example, P(0) and P(1) are calculated as:

$P(0)=\frac{10!}{0!(10-0)!}*0.5^0*(1-0.5)^{10-0}=0.0009\\P(1)=\frac{10!}{1!(10-1)!}*0.5^1*(1-0.5)^{10-1}=0.0098$

Then, $P(x$ , so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.

At the same way, for the biased coin, the probability that the number of heads is at least 4 is:

$P(x\geq4 )=P(4)+P(5)+P(6)+...+P(10)$

Where, for example, P(4) is calculated as:

$P(4)=\frac{10!}{4!(10-4)!}*0.3^4*(1-0.3)^{10-4}=0.2001$

Then, $P(x\geq4 )=0.3504$ , so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.

7 0

3 years ago

Tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically have a 0.05% chance of

suter [353]

Answer:

B) 538, 650

Step-by-step explanation:

Given:

Errors on tax returns filed manually = 20%

Errors on tax returns filed electronically = 0.05%

Tax return filled in each way = 2.7 million

Manual filing:

2,700,000 x 20% = 2,700,000*0.2 = 540,000

Electronic filing:

2,700,000 x 0.05% = 2, 700,000*0.0005 = 1,350

Error difference = 540,000 - 1,350 = 538,650

There will be 538,650 more erroneous tax returns filed manually than there are filed electronically.

Thank you.

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3 years ago

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Janelle would like to give a party bag to every person who is coming to her party. The cost of the party bag is $7 per person. W

torisob [31]

D >7d. The number of dollars must be
- greater than or equal to 7 times the
number of people because she can't spend more than she has.

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