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Hatshy [7]
3 years ago
15

If y varies inversely with x, and y = -16 when x = -64, what is the constant of variation?

Mathematics
2 answers:
Ede4ka [16]3 years ago
6 0
Answer is (d).

Let's take the constant as K.

y=K. (1/x)
K = yx
K = (-16) x (-64)
K = 1024
kupik [55]3 years ago
4 0

Answer:

The correct answer is D, 1,024.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Data given and notation  

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\alpha=0.05 represent the significance level for the hypothesis test.  

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Alternative hypothesis:\mu > 20  

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z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

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We can replace in formula (1) the info given like this:  

z=\frac{203-200}{\frac{15}{\sqrt{9}}}=0.6    

P-value

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p_v =P(z>0.6)=0.274  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can't conclude that the true mean is not significantly higher than 200 at 5% of signficance.  

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