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iVinArrow [24]
3 years ago
9

Consider the following navigation scenario. A ship on the open ocean is traveling in the direction shown below. On a coordinate

plane, a vector goes up and to the right in quadrant 1 and forms a 30 degree angle with the y-axis. How would the captain report his navigational vector as a bearing? N60˚E E60˚N N30˚E E30˚N
Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer: C. N30degrees E

Step-by-step explanation:

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2 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6
dimaraw [331]

Answer:

The confidence interval is  13.4<  \mu < 13.8

Step-by-step explanation:

From the question we are told that

   The sample  mean is \= x  =  13.6

     The standard deviation is \sigma =  1.9

     The sample  size is  n  =  189

given that the confidence level is  85% then the level of significance is mathematically represented as

            \alpha = (100 - 85 )\%

            \alpha  =  0.15

Next we obtain the critical value  of \frac{\alpha }{2} from the normal distribution table  the value  is  

      Z_{\frac{\alpha }{2} } =  1.44

Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>     E = 1.44*  \frac{1.9}{\sqrt{189} }

=>     E = 0.1990

The  85%  confidence interval is mathematically represented as  

        \= x  - E <  \mu

=>      13.6- 0.1990 <  \mu <  13.6+ 0.1990

=>      13.4<  \mu < 13.8

           

5 0
3 years ago
Hi are you able to solve it by using a step called exponential equations?
andriy [413]

Given the equation:

6^{2-3x}=6^{-2x-2}

since both bases are 6, we can equate both exponents to get the following equation:

2-3x=-2x-2

solving for x, we get:

\begin{gathered} 2-3x=-2x-2 \\ \Rightarrow-3x+2x=-2-2=-4 \\ \Rightarrow-x=-4 \\ \Rightarrow x=4 \end{gathered}

therefore, the solution of the equation is x = 4

6 0
1 year ago
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