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3 years ago

I need help with #6 please help and I need the work

Mathematics

2 answers:

klasskru [66]3 years ago

8 0

So for this, we have to replace p for 700 to solve for how many candy bars it takes to make that profit. Our equation will look like this: $700=1.50n-500$

Firstly, add 500 onto both sides of the equation: $1200=1.50n$

Next, divide both sides by 1.50, and your answer will be $800=n$

In context, in order to make a profit of $700, you must sell 800 candy bars.

Assoli18 [71]3 years ago

7 0

Since p represents profit, and we want to calculate the amount of candy bars to be sold to get a profit of 700 dollars, substitute 700 for p in the equation to calculate the value of n (the number of candy bars that must be sold).

p = 1.5n - 500 (given)

700 = 1.5n - 500 (substitute)

1200 = 1.5n (add 500 to both sides)

800 = n (divide both sides by 1.5)

Answer:

800 candy bars must be sold to make a profit of $700.

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2 years ago

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1.
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3 years ago

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3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

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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".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

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:

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

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

3 0

3 years ago

Read 2 more answers

A college committee consists of 3 freshmen, 4 sophomores, 5 juniors, and 2 seniors. A subcommittee of 4 consisting of 1 person f

dezoksy [38]

Answer:

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Step-by-step explanation:

The subcommittee needs to contain 1 out of 3 freshmen, 1 out of 4 sophomores, 1 out of 5 juniors and 1 out of 2 seniors. Assuming order is not important, the number of possibilities to pick the subcommittee members is given by:

$N=5*4*3*2=120$

There are 120 possible subcommittees.

5 0

3 years ago