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devlian [24]
3 years ago
11

If an item is discounted 20%, the sale price is what percent of the original price

Mathematics
1 answer:
Scrat [10]3 years ago
3 0
You need first the original price/number!
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The amount of potato chips an 18-ounce bag contains follows a normal distribution with a mean of 18.5 ounces and a standard devi
bekas [8.4K]

Answer:

100% probability that the sample mean weight of these 100 bags is less than 18.6 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 18.5, \sigma = 0.2, n = 100, s = \frac{0.2}{\sqrt{100}} = 0.02

What is the probability that the sample mean weight of these 100 bags is less than 18.6 ounces

This is the pvalue of Z when X = 18.6. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{18.6 - 18.5}{0.02}

Z = 5 has a pvalue of 1

100% probability that the sample mean weight of these 100 bags is less than 18.6 ounces

7 0
3 years ago
Juan makes 75% of the goals he attempted during soccer practice. If he makes 30 goals at practice, how many does he attempt?
m_a_m_a [10]

Answer:

22.5

Step-by-step explanation:

30/4=7.5

7.5 times 3 = 22.5

Mark brainliest plz!

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2 years ago
What is the coordinate of the focus
timofeeve [1]

Answer:

I want to say B or D please tell me if I'm right lol

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If the volume of the rectangular prism is represented by 6x^2-2x+8 and the base area is 2x-4 which expression represents the hei
MissTica
Check the picture below.

\bf 6x^2-2x+8=(2x-4)h\implies \cfrac{6x^2-2x+8}{2x-4}=h
\\\\\\
\cfrac{3(2x^2-x+4)}{2(x-2)}=h\implies \cfrac{3(3x-4)(x+1)}{2(x-2)}=h

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