Answer:
0.8213
Step-by-step explanation:
-This is a binomial probability problem given by the function:
Given that n=21 and p=0.2, the probability that she experience a delay on at least 3 days is calculated as:
Hence, the probability that she experience delay on at least 3 days is 0.8213
Weight of slab of beeswax isn't given.
Assume slab of beeswax = 36 gram.
Answer:
3 gram
Step-by-step explanation:
Each slab of beeswax = 36 gram
Total weight of all 3 slabs = (3 * 36) = 108 g
Number of same-sized candles to make = 36
The weight of each candle will be ;
Total weight of slabs / number of candles
108 g / 36
= 3 grams
Answer:
Option D (r(t) = 3.50t +25
; r(8) = 53)
Step-by-step explanation:
The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:
r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.
4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).
r(8) = 25 + 3.5*(8) = 25 + 28 = 53.
Therefore, Option D is the correct answer!!!
2b 2a
----------------- + -----------------
(b+a)^2 (b^2 - a^2)
2b 2a
= ----------------- + -------------------
(b+a)(b+a) (b+a)(b-a)
2b(b - a) + 2a(b + a)
= ------------------------------------
(b+a)(b+a)(b-a)
2b^2 - 2ab + 2ab + 2a^2
= ---------------------------------------
(b+a)(b+a)(b-a)
2b^2 + 2a^2
= ------------------------
(b+a)(b+a)(b-a)
2(b^2 + a^2)
= ------------------------
(b+a)^2 (b-a)
Answer:
Numerator: 2(b^2 + a^2)
Denominator: (b+a)^2 (b-a)
