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bezimeni [28]
3 years ago
8

A piece of aluminium has a volume of 7.0cm^3 density of 3.50g\cm^3 what is its mass????

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0
Density=mass / volume  ⇒ mass=density x volume.

Data:
density=3.5 g/cm³
volume=7.0 cm³

mass=(3.5 g/cm³)(7.0 cm³)=24.5 cm³

<span>answer: 24.5 cm</span>³
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Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation
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Answer:

The 95% confidence interval obtained with a sample size of 64 will give greater precision.            

Step-by-step explanation:

We are given the following in the question:

A 95% confidence interval is calculated with the following sample sizes

n_1 = 25\\n_2 = 64

The population mean and standard deviation are unknown.

Effect of sample size on confidence interval:

  • As the sample size increases the margin of error decreases.
  • As the margin of error decreases the width of the confidence level decreases.
  • Thus, with increased sample size the width of confidence level decreases.

If we want a confidence interval with greater precision that is smaller width, we have to choose the higher sample size.

Thus, the 95% confidence interval obtained with a sample size of 64 will give greater precision.

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3 years ago
42 divided by 6 in repeated subtraction
Wittaler [7]
42 - 6 = 36 - 1 36 - 6 = 30 - 2 30 - 6 = 24 - 3 24 - 6 = 18 - 4 18 - 6 = 12 - 5 12 - 6 = 6 - 6 6 - 6 = 0 - 7 42/6 = 7
4 0
2 years ago
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3/4 picked apples. If 120 students picked apples, how many picked bananas
Oxana [17]

Answer:

40 students picked bananas

Step-by-step explanation:

3/4 picked apples    

1 - 3/4 = 1/4 picked bananas

3/4x = 120

Multiply both sides of the equation by 4/3

4/3 * (3/4x) = 120/1 * (4/3)

x = 480/3

x = 160

                                               Total of 160 students

                                               /                                   \

                                   120 = apples                  160 - 120 = 40 = bananas

40 students picked bananas

Hope this helps :)

6 0
3 years ago
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Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope
d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 46.8, \sigma = 1.75

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

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

Z = \frac{50 - 46.8}{1.75}

Z = 1.83

Z = 1.83 has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

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

Z = \frac{48 - 46.8}{1.75}

Z = 0.685

Z = 0.685 has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

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3 years ago
What is 70% (percent) of 80?
romanna [79]
70 percent of 80 is 56.
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2 years ago
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