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Arte-miy333 [17]
3 years ago
10

Simplify completely -1/2(6n + 4) + 2n (!! NEED BY 1/29/20!!)

Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

-1/2(6n+4)+2n

-3n-2+2n

1n-2 or n-2

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A man selling computer parts realizes that when he sells 16 computer parts, his earning is $1700. When he sells 56 computer part
natta225 [31]

We need to find the unit rate. To do so, divide the amount of money he makes by the number of parts sold. 1,700 / 16 = 106.25. So, if the man sells one computer part, he gets $106.25. To find the price of 30 parts, multiply 106.25 by 30. 106.25 * 30 = $3,187.50

The man will make $3,187.50 if he sells 30 parts.

4 0
3 years ago
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Which of the following expressions represents "the quotient of nine times a number and seven"?​
irga5000 [103]

Answer:

I think it's 9x/7

Step-by-step explanation:

Hope my answer has helped you.

3 0
3 years ago
7. An aquarium is shown below. The
Mnenie [13.5K]

Answer:

1920 in³

Step-by-step explanation:

The volume of the water can be gotten by calculation the volume of the aquarium it fills/occupies.

Since the water fills to exactly three inches below the top of the  aquarium, hence the height of the water in the aquarium is given as:

height of water = 13 in - 3 in = 10 in

Therefore the volume of the water in the tank is given by the formula:

Volume of water = height of water * breadth of tank * length of tank

Volume of water = 10 in * 8 in * 24 in = 1920 in³

6 0
3 years ago
Make a line plot for each set of data.
Gala2k [10]

Answer:

Look at Step by Step

Step-by-step explaination

All you need to do is find the frequency of the test scores.

70 = 2 dots

75 = 0

80 = 3 dots because there are 3 students that got a 80 %

85 = 3 dots because there are 3 students that got a 80 %

90 = 4 dots because there are 4 students that got a 90 %

95 = 3 dots

100+ = 0 dots

3 0
3 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
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