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TEA [102]
3 years ago
11

Describe the solutions for this inequality.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0
D) i think

, all values of x that are greater than equal to 1
7
8



 
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Pls help 15 points pls hurry
Alexus [3.1K]

Answer:

5k and -3k are like variables

constants 7 and -2 are like terms

5+2k+n is equivalent expression

Step-by-step explanation:

3 0
2 years ago
The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta
nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

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 problem, we have that:

\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

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

By the Central Limit Theorem

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

Z = \frac{8.22 - 8.2}{0.018}

Z = 1.11

Z = 1.11 has a pvalue of 0.8665

X = 8.18

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

Z = \frac{8.18 - 8.2}{0.018}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

8 0
3 years ago
Describe in detail two different real-world situations in which you could use the Pythagorean Theorem.
omeli [17]

Answer:

you can use it in architecture and construction

Step-by-step explanation:

say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle. I hope this helps!

5 0
3 years ago
Read 2 more answers
PLZ HELP I AM STUCK!
zaharov [31]
Every whole number<span> is a </span>rational number: for example, 3=31. ... Everywhole number<span> n can be written as a fraction of integers: n=n1. We aren't required to write it that way; we just need to know that it is possible to express every </span>whole number<span> as a fraction of integers, and hence it is </span>rational<span>.

So I Believe the Correct Answer would Be D)</span><span> If a number is not a rational number, then it is not a whole number. The converse is true</span>
3 0
3 years ago
Write the verbal phrase as a algebraic expression<br> three times the sum of a number and 1
sammy [17]

3 (n + 1) (expression)

3n + 3 (expression simplified)

8 0
3 years ago
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