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Katena32 [7]
3 years ago
8

A group of friends went out for dinner and decided to split the cost of the $196 bill equally. If each person contributed $30, t

hey would not have enough to leave a 15% tip. But if each person contributed $33, they would cover the bill and a 15% tip and have $5.60 left over. How many friends went out to dinner? 1 point
Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0

Answer:6 friends                                                

xcvbnm, zxdfghjk,cxdfghjm

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How many digits in hex do you need to represent integers up to 1, 000?
shepuryov [24]
You can convert 1000 to hex and see how many digits that requires:

1000_{10}=(3\cdot16^2+14\cdot16+8)_{10}=3\mathrm e8_{16}

So every integer below 1000 needs up to 3 digits.

Alternatively, we know that 16^2=256, and that 16^n requires n+1 digits in its hex representation (e.g. 16_{10}=10_{16}). Taking the logarithm, we get \log_{16}16^2=2, and adding 1 gives the number of digits needed to represent 16^2. Similarly,


\lfloor\log_{16}1000\rfloor+1=3
8 0
3 years ago
A high school football team scores a total of 42 points by scoring touchdowns and feild goals. Suppose each feild goal is worth
gregori [183]

Answer:

3 touchdowns and 7 field goals is in total 42 points

6 0
3 years ago
Read 2 more answers
The cost of renting a jumping castle includes a fixed charge of $325 for setup and delivery, and a variable charge of $175 for e
Burka [1]

Answer:

they can rent it for 6 hours

Step-by-step explanation:

7 0
3 years ago
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
2 years ago
10 times as much as 0.3 is what?<br> 10 times as much as 0.01 is what?
Anni [7]
U just move the decimal over and they would equal 3 and 0.1
6 0
3 years ago
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