They are linear pair of angles.
So,
107° + x = 180°
=> x = 180° - 107°
=> x = 73°
in the picture, I've shown you how you can align the ruler with the line and draw it through point P
Answer:
$14,800 at 10.5%
$38,850 at 12%
Step-by-step explanation:
Investment at 10.5% (x):
(0.12[$53,650 - x])/0.105x = 3
$6,438 - 0.12x = 0.315x
0.435x = $6,438
x = $14,800
Investment at 12%:
= $53,650 - $14,800
= $38,850
Answer: Investments: @ 10.5%, $14,800; @ 12%, $38,850
Proof: (income from 1st is 1/3 that of the income from the 2nd):
= (0.105[$14,800])/(0.12[$38,850])
= $1,554/$4,662
= 1/3
Answer:
A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.
B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.
C. The expected value of X is 6.75, and the standard deviation of X is 2.17.
Step-by-step explanation:
The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.
With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:
A. P(x=6)
B. P(x≥10)
C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as: