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mr Goodwill [35]
3 years ago
15

Is 1.6 greater than four-thirds

Mathematics
2 answers:
telo118 [61]3 years ago
6 0
1.6=1\dfrac{6}{10}=\dfrac{16}{10}=\dfrac{8}{5}=\dfrac{24}{15}\\
\dfrac{4}{3}=\dfrac{20}{15}\\\\
\dfrac{24}{15}>\dfrac{20}{15}\Rightarrow\text{YES}
GenaCL600 [577]3 years ago
4 0
1.6 is greater. 4/3 is 1.3 repeated
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3 0
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Calculate a critical z-score for a left-tailed, right-tailed, or two-tailed test.
muminat

Answer:

a. Z = -1.175.

b. Z = 1.34.

c. |Z| = 2.054.

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Step-by-step explanation:

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In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

a. The critical z-score for a left-tailed test at a 12% significance level

Left-tailed test: The region of interest is the 12th percentile or below.

Thus, the critical z-score is Z with a p-value of 0.12, so Z = -1.175.

b. The critical z-score for a right-tailed test at a 9% significance level

Right-tailed test: The region of interest is the 100 - 9 = 91th percentile and above.

Thus, the critical z-score is Z with a p-value of 0.91, so Z = 1.34.

c. The critical z-score for a two-sided test at a 4% significance level is 1.75.

Two-tailed test: The region of interest is between the 4/2 = 2th percentile and the 100 - (4/2) = 98th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.02 or 0.98, so |Z| = 2.054.

d. The critical z-score for a two-sided test at a 20% significance level is 0.85.

Region of interest is between the 20/2 = 10th percentile and the 100 - (20/2) = 90th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.1 or 0.9, so |Z| = 1.28.

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