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Yakvenalex [24]
3 years ago
11

A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance

of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

100% of the daily recommended allowance of vitamin C for adults is 80 milligrams.

Step-by-step explanation:

A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults.

100% will have = \frac{200}{250}\times100 = 80 milligrams

Hence, 100% of the daily recommended allowance of vitamin C for adults is 80 milligrams.

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6(8-2x)=4x what is the answer to this equation?​
ratelena [41]

Answer:

x=3

Step-by-step explanation:

6(8−2x)=4x

Step 1: Simplify both sides of the equation.

6(8−2x)=4x

(6)(8)+(6)(−2x)=4x(Distribute)

48+−12x=4x

−12x+48=4x

Step 2: Subtract 4x from both sides.

−12x+48−4x=4x−4x

−16x+48=0

Step 3: Subtract 48 from both sides.

−16x+48−48=0−48

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Step 4: Divide both sides by -16.

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8 0
4 years ago
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What are the conditions a sample needs to meet before you can assume it's binomial and that it approximates a normal distributio
Gemiola [76]

Answer:

1) np\geq 5

2) nq = n(1-p)\geq 5

Other conditions that are important are:

3) n is large

4) p is close to 1/2 or 0.5

Step-by-step explanation:

1) 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".  

2) Solution to the problem

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

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

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nCx=\frac{n!}{(n-x)! x!}  

In order to apply the normal apprximation we need to satisfy these two conditions:

1) np\geq 5

2) nq = n(1-p)\geq 5

Other conditions that are important are:

3) n is large

4) p is close to 1/2 or 0.5

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