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4 years ago

8

A school bake sale earned over 25$ from selling cookies which cost 3$ each how many cookies did they sell identify the numbers t

hat are included in the solutin set
A 8
B 9
C 3
D 15

1 answer:

Masja [62]4 years ago

8 0

8 I think soooo im not sure

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The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that,

dexar [7]

Answer:

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval

Mean of 0.5

7-day week, so $\mu = 7*0.5 = 3.5$

What is the probability that, in any seven-day week, the computer will crash less than 3 times?

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3.5}*(3.5)^{0}}{(0)!} = 0.0302$

$P(X = 1) = \frac{e^{-3.5}*(3.5)^{1}}{(1)!} = 0.1057$

$P(X = 2) = \frac{e^{-3.5}*(3.5)^{2}}{(2)!} = 0.1850$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0302 + 0.1057 + 0.1857 = 0.3216$

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

3 0

3 years ago

9a-18b+21c apply distributive property to factor out gcf of all three terms

Evgesh-ka [11]

The greatest common factor of 9, 18 and 21 is 3 so that is the number that we'll factor out

to do this divide all three numbers by 3 to get

3(3a-6b+7c)

I hope I've helped!

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aivan3 [116]

Answer:

$\Large \boxed{\mathrm{\bold{C}}}$

Step-by-step explanation:

$\sf \displaystyle sin(\theta) =\frac{opposite}{hypotenuse }$

$\sf \displaystyle sin(L) =\frac{x}{y}$

$\sf \displaystyle sin(H) =\frac{x}{z}$

$\displaystyle \sf \frac{sinL}{z} =\frac{sinH }{y}$

$\displaystyle \sf \frac{\frac{x}{y} }{z} =\frac{\frac{x}{z} }{y}$

Simplifying the expression.

$\sf \displaystyle \frac{x}{yz } = \frac{x}{yz} \ (true)$

$\displaystyle \sf \frac{z}{sinL} =\frac{y}{sinH}$

$\displaystyle \sf \frac{z}{\frac{x}{y}} =\frac{y}{\frac{x}{z}}$

Multiplying both sides by x.

$\sf yz=yz \ (true)$

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