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Evgesh-ka [11]
3 years ago
7

Arterial blood gas analyses performed on a sample of 15 physically active adult males yielded the following resting PaO2 values:

75; 80; 80; 74; 84; 78; 89; 72; 83; 76; 75; 87; 78; 79; 88 a) Calculate the standard error b) Construct a 95 percent confidence interval for the mean of the population. c) Give a probabilistic interpretation for the confidence interval.
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

this seems hard to do

Step-by-step explanation:

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Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

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PLS HELP AHHHH THIS IS DUE TODAY
White raven [17]

Answer:

-34b+18 yes

34b-18 -no

-18b+18

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Answer is B</span>
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