Answer:
x = -2.32, 10.32 to the nearest hundredth.
Step-by-step explanation:
x^2 - 8x - 24 = 0
x = [ - (-8) +/- sqrt (((-8)^2 - 4*1*(-24)] / 2
= 4 +/- sqrt160/2
= 4 +/- 6.3245
= -2.32, 10.32.
9k2-12k+4
(k2-6k)+(-6k+4) factor out the 3k from 9k2 0 6k: 3k(k-2) factor out -2 from -6k +4n: -2 (3k-2) factor out common term (3k-2) = (3k-2 ) (3k-2) that equals (3k-2)2
1) first one....90-27=63°
2)180-128=52°>>>>that is B
3)first one is suppliment....so A
4)180-125=55°....I think D....but not in pic !!!
so...go for it !!!
Your distance from Seattle after two hours of driving at 62 mph, from a starting point 38 miles east of Seattle, will be (38 + [62 mph][2 hr] ) miles, or 162 miles (east).
Your friend will be (20 + [65 mph][2 hrs] ) miles, or 150 miles south of Seattle.
Comparing 162 miles and 150 miles, we see that you will be further from Seattle than your friend after 2 hours.
After how many hours will you and your friend be the same distance from Seattle? Equate 20 + [65 mph]t to 38 + [62 mph]t and solve the resulting equation for time, t:
20 + [65 mph]t = 38 + [62 mph]t
Subtract [62 mph]t from both sides of this equation, obtaining:
20 + [3 mph]t = 38. Then [3 mph]t = 18, and t = 6 hours.
You and your friend will be the same distance from Seattle (but in different directions) after 6 hours.
Answer:
The probability that a product is defective is 0.2733.
Step-by-step explanation:
A product consists of 3 parts. If any one of the part is defective the whole product is considered as defective.
The probability of the 3 parts being defective are:
P (Part 1 is defective) = 0.05
P (part 2 is defective) = 0.10 P (part 3 is defective) = 0.15
Compute the probability that a product is defective as follows:
P (Defective product) = 1 - P (non-defective product)
= 1 - P (None of the 3 parts are defective)
= 1 - P (Part 1 not defective) × P (Part 2 not defective) × P (Part 1 not defective)
![=1-[(1-0.05)\times(1-0.10)\times (1-0.15)]\\=1-[0.95\times0.90\times0.85]\\=1-0.72675\\=0.27325\\\approx0.2733](https://tex.z-dn.net/?f=%3D1-%5B%281-0.05%29%5Ctimes%281-0.10%29%5Ctimes%20%281-0.15%29%5D%5C%5C%3D1-%5B0.95%5Ctimes0.90%5Ctimes0.85%5D%5C%5C%3D1-0.72675%5C%5C%3D0.27325%5C%5C%5Capprox0.2733)
Thus, the probability that a product is defective is 0.2733.
