Answer:
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
If the mean is 20.8, one standard deviation each way is adding and subtracting 3.1, so 17.7 and 23.9 (68% of values)
Two standard deviations adding and subtracting 3.1*2 = 6.2, or 14.6 and 27.
Three standard deviations is 11.5 and 30.1
So we have
11.5 - 14.6 - 17.7 - 20.8 - 23.9 - 27 - 30.1
Going left to 11.5 is 3 standard deviations out, so 99.7/2 = 49.85%
Going right to 27 is 2 standard deviations out, so 95/2 = 47.5%
Add those two % to get 97.32%
This is hard to do without a picture so I hope that helps!
Answer:
20.
$18.40.
Step-by-step explanation:
The mean number of people = (12+19+17+26+26)/5
= 100/5
= 20.
Karmin's original hourly rate = 480/30
= $16 per hour.
With a 15% rise it is 16 * 1.15
= $18.40 / hour.
A) 0.15 times $2,570 = $412.50
B) $122.85 times 2( 12 ) = $2,948.40
C) $2,570
D) All together it's $2,948.40 + $2,570 = $5,518.40
For D I didn't add the down payment because it's not an additional charge.
I only did the first one because I don't know if you want me to finish the rest.
Hope I helped :)
