The answer to your question is: x=10. y=2
Answer: x = 9/4, y = 7/6
║<span>2x + 3y = 8
</span>║<span>4x - 6y = 2
</span>║4x + 6y = 16
║4x - 6y = 2
Add both equations together:
8x = 18
x = 9/4
Sub x = 9/4 into 2x + 3y = 8
2(9/4) + 3y = 8
9/2 + 3y = 8
3y = 7/2
y = 7/6
The two-sided alternative hypothesis is appropriate in this case, the reason being we are asked "does the data indicate that the average body temperature for healthy humans is different from 98.6◦........?".
The test statistic is:

Using an inverse normal table, and halving

for a two-tailed test, we look up

and find the critical value to be Z = 2.5758.
Comparing the test statistic Z = -5.47 with the rejection region Z < -2.5758 and Z > 2.5758. we find the test statistic lies in the rejection region. Therefore the evidence does not indicate that the average body temperature for healthy humans is different from 98.6◦.
Answer:
Check below for the answers
Step-by-step explanation:
Note: The options are not clearly expressed but below are the correct expressions for the trigonometric identities stated in the options.
Using the SOHCAHTOA principle
sin θ = Opposite / Hypotenuse
tan θ = opposite / Adjacent
Cot θ = 1 / tan θ = Adjacent / Opposite
cos θ = Adjacent / Hypotenuse