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sweet [91]
3 years ago
8

A submarine begin the day to 240 m below sea level. It descended 40 m/h for three hours and then ascended 30 m/hrs. for five hou

rs what was the position of the submarine after the 8 hour time period . Measured in meters
Mathematics
2 answers:
kari74 [83]3 years ago
3 0
Descended total: -40×3=-120 meters
Ascended total: 30×5=150 meters

-240-120+150=-210 meters. As a result, the position of the submarine after 8 hours are 210 feet below the sea. Hope it help!
Viktor [21]3 years ago
3 0
The submarine began 240 m below sea level.
If it descended 40 m every hour for three hours, we can calculate that the sub will be at 360 m below sea level. 
From here, the sub will rise 30 m every hour for five hours. By hour five, the sub would have already arisen 150 meters.
After these 8 hours, the sub should be 210 meters below sea level.
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1. The national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15. The dean of a college wants to kno
Nat2105 [25]

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We conclude that the mean IQ of her students is different from the national average.

Step-by-step explanation:

We are given that the national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15.

The dean of a college want to test whether the mean IQ of her students is different from the national average. For this, she administers IQ tests to her 144 students and calculates a mean score of 113

Let, Null Hypothesis, H_0 : \mu = 100 {means that the mean IQ of her students is same as of national average}

Alternate Hypothesis, H_1 : \mu\neq 100  {means that the mean IQ of her students is different from the national average}

(a) The test statistics that will be used here is One sample z-test statistics;

               T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ N(0,1)

where, Xbar = sample mean score = 113

              s = population standard deviation = 15

             n = sample of students = 144

So, test statistics = \frac{113-100}{\frac{15}{\sqrt{144} } }

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Now, at 0.05 significance level, the z table gives critical value of 1.96. Since our test statistics is more than the critical value of z which means our test statistics will fall in the rejection region and we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean IQ of her students is different from the national average.

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