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dlinn [17]
3 years ago
6

What is 5/12 times 1 1/3

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0
5/9 
5 times 4= 20
12 times 3=36
20/36=5/9
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Angel saved $100 a week for a year. She spent 40%
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Answer:

40 because 40 percent of 100 is 40. You can just multiply the number by the percentage $100x40%

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Solve the linear equation for x. –4.8(6.3x – 4.18) = –58.56 x =
liq [111]

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X=2.6

Step-by-step explanation:

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2 years ago
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Roger bought two plots of land for $120000. He sold the first plot and profited 15%. He sold the second plot and lost 10%. His t
Oxana [17]
X + y = 120000
0.15x - 0.10y = 5500

Multiply both sides of bottom by 100 to remove decimals

x + y = 120000
15x - 10y = 550000

Multiply both sides of top by 10

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15x - 10y = 550000

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He paid $70,000 for the property that made a profit, and paid $50,000 for the property that lost value.
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3 years ago
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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard
Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

Step-by-step explanation:

To solve this question, we have 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size 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 = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

Z = \frac{30732 - 30393}{472.81}

Z = 0.72

Z = 0.72 has a pvalue of 0.7642.

X = 30054

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

Z = \frac{30054 - 30393}{472.81}

Z = -0.72

Z = -0.72 has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

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3 years ago
If the volume of a cube is 216cm fond the length of the cube ​
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Answer:

6cm

Step-by-step explanation:

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3 years ago
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