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2 years ago

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Yesterday 40 bakery customers bought muffins and 16 of those customers bought banana muffins. If 200 customers buy muffins tomor

row, how many would you expect to buy a banana muffin?

1 answer:

Semenov [28]2 years ago

3 0

Answer:

80 customers would buy a banana muffin

Step-by-step explanation:

16/40 x 100 = 40%

40 x 200 = 8000

8000/100 = 80

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Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

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2 years ago

3x - 2x + 8 = 12; x = 4

vodomira [7]

Answer:

correct

Step-by-step explanation:

3(4)-2(4)+8=12

12-8+8=12

12=12

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2 years ago

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oksano4ka [1.4K]

Answer:

<u>-3.45</u> is closer to -3

Step-by-step explanation:

because, since it's negative the closer the negative number is closer to 0 its number is lower (-) like -4 is farther away from the 0 than -3.

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2 years ago

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antoniya [11.8K]

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2 years ago

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Y = - 2x + 1<br> 2x - 2y = 4<br> Solve systems of equations by substitutions

astraxan [27]

Answer:

x= 1

y= -1

Step-by-step explanation:

y=-2x+1

2x-2y=4

substitute for y

2x-2(-2x+1)=4

reduce

2x+4x-2=4

6x=6

x=1

y= -2(1)+1

y= -1

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2 years ago