Answer:
tan2θ = 4√2/7
Step-by-step explanation:
Given sin theta=1/3 and 0 < theta< π/+
Required
tan 2 theta
tan2 theta = 2tanθ/1-tan²θ
Get tan θ
sinθ = opp/hyp
adj = √3²-1²²
adj = √9-1
adj = √8
tanθ = opp/adj = 1/2√2
tan2 theta = 2(1/2√2/1-(1/2√2)²
tan2θ = 1/√2/1-1/8
tan2θ = 1/√2/7/8
tan2θ = 8/7√2
Rationalize
tan2θ = 8√2/14
tan2θ = 4√2/7
Answer:
If you were to fully simplify it would technically be 1/2 as 4/8 is correct but can be further rounded down
Step-by-step explanation:
1/8 x 4 = 4/8
4/8 ÷ 4 = 1/2
Answer:
There is evidence for the claim that less than 10% of the test results are wrong
Step-by-step explanation:
Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.
Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)
Sample proportion = 
H0: p = 0.10
Ha: p <0.10
(left tailed test)
p difference = 0.09-0.10 = -0.01
Std error = 
z statistic = -1.9245
p value = 0.027
Since p <0.05 we reject H0
There is evidence for the claim that less than 10% of the test results are wrong
<u>It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.</u>
Answer:
$45 (qualified)
$30 (did not qualify)
Step-by-step explanation:
<u>Percentage Calculations</u>
Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.
The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45
Let's suppose now the total cost+shipping is $30. Since it's not greater than $35, no discount will be applied and we have to pay $30
Discriminant of a Quadratic
The number D = b2 – 4ac determined from the coefficients of the equation ax2 + bx + c = 0. The discriminant reveals what type of roots the equation has.
Note: b2 – 4ac comes from the quadratic formula.

