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Anna007 [38]
3 years ago
8

a salesperson earns $320 per week plus 8% of her weekly sales. the expression representing her earning is 320 + 0.08x. which of

the following describes the sales necessary for the salesperson to earn at least $1000 in one week
Mathematics
2 answers:
GREYUIT [131]3 years ago
7 0

The expression 320 + 0.08x shows the earning of a salesperson for her weekly sales.

To earn at least $1000, we have:

320 + 0.08x > =1000

Subtracting 320 from both sides, we get:

0.08x >= 680

Now we need to Divide the above expression by 0.08 both sides,

So, we get:

x >= 8500

Therefore, to earn at least $1000 in one week, the salesperson needs the sales of greater than or equal to $8500.


My name is Ann [436]3 years ago
4 0

Answer:

X>=8,500 is the answer

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One day, thirteen babies are born at a hospital. assuming each baby has an equal chance of being a boy or girl, what is the prob
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Using the binomial distribution, there is a 0.9983 = 99.83% probability that at most eleven of the thirteen babies are girls.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

p = 0.5, n = 13

The probability that at most eleven of the thirteen babies are girls is:

P(X \leq 11) = 1 - P(X > 11)

In which

P(X > 11) = P(X = 12) + P(X = 13)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{13,12}.(0.5)^{12}.(0.5)^{1} = 0.0016

P(X = 13) = C_{13,13}.(0.5)^{13}.(0.5)^{0} = 0.0001

So:

P(X > 11) = P(X = 12) + P(X = 13) = 0.0016 + 0.0001 = 0.0017

P(X \leq 11) = 1 - P(X > 11) = 1 - 0.0017 = 0.9983

0.9983 = 99.83% probability that at most eleven of the thirteen babies are girls.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

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