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kolbaska11 [484]
2 years ago
9

Graph y=2x-7 (please show where to put the points) ​

Mathematics
1 answer:
AysviL [449]2 years ago
8 0

Answer:

Step-by-step explanation:

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Simplify: -1 | 2/3 - 4 | / 5/6
stealth61 [152]

Answer:

<h3>4</h3>

Step-by-step explanation:

- 1 | \frac{2}{3}  - 4|  \div  \frac{5}{6}  \\  - 1 | \frac{2}{3} -  \frac{4 \times 3}{1 \times 3}  |  \div  \frac{5}{6}  \\  - 1 | \frac{2 - 12}{3} |  \div  \frac{5}{6}  \\  - 1 | \frac{ - 10}{3} |  \div  \frac{5}{6}  \\  \frac{10}{3}  \div  \frac{5}{6}  \\  \frac{10}{3}  \times  \frac{6}{5}  \\  \frac{2}{1}  \times  \frac{2}{1} = 4

3 0
2 years ago
A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

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 distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

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3 years ago
Eight less than three times a number is -23
Alenkasestr [34]

Answer: 10 is your answer bud ❤

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3 years ago
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