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Ivahew [28]
3 years ago
7

In April, the water level in a mountain reservoir increased 0.6 m as the snow began to melt. In May, the water level increased a

nother 0.3 m. In June, the water remained constant; but in July the water level decreased by 0.2 m due to a dry spell. At the end of July, the water was 14.2 m. What was the water level at the begining of April?
Mathematics
1 answer:
Svetach [21]3 years ago
8 0

Step-by-step explanation:

x+0.6+0.3-0.2=14.2

x+0.7=14.2

x=14.2-0.7

x=13.5

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A physical education teacher wanted to test whether her county’s students are falling below the national proportion. It is known
Ipatiy [6.2K]

Answer:

(a) The population parameter is students who ran the mile in less than 10 minutes.

(b) The hypothesis being tested is:

H0: p = 0.70

Ha: p < 0.70

(c) The significance level is 0.05.

(d) In order to conduct a one-sample proportion z-test, the following conditions should be met:

The data are a simple random sample from the population of interest.

The population is at least 10 times as large as the sample.

n⋅p ≥ 10 and n⋅(1−p) ≥ 10, where n is the sample size and p is the true population proportion.

n⋅p = 756 * 0.70 ≥ 10

n⋅(1−p) = 756 * (1 - 0.70) ≥ 10

All the conditions are met.

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The test statistic, z = (p - p)/√p(1-p)/n = (0.67 - 0.70)/√0.70(1-0.70)/756 = -2.00

(f) The p-value is 0.0228.

(g) Since the p-value (0.0228) is less than the significance level (0.05), we can reject the null hypothesis.

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Step-by-step explanation:

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3 years ago
A block is set in motion hanging from a spring and oscillates about its resting position
coldgirl [10]

Answer:

t = 1.277 sec and t = 2.848 sec

Step-by-step explanation:

This problem is much more easily done by graphing it than by computing it using algebra.

The values of t we're looking for are the ones that make x = 0, so we want the solutions of 0.6sin(2t)+0.4cos(2t)=0 on the interval [0, 3].

According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.

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The equinox which occurs around September happens in the Northern Hemisphere and is also known as the Fall or Autumnal equinox. Whereas, the equinox which occurs at the Southern Hemisphere is also known as the Spring or Vernal equinox. During an equinox, the tilt of the earth is perpendicular to the sun.

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Answer:

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