Answer:
<em>x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ ) </em>
Step-by-step explanation:
x³ - 64x = x( x² - 64 ) ≠ 0 ⇒ x ≠ 0 and x ≠ ± 8
<em>x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ )</em>
Answer:
probability of Number of earth quakes in a fixed interval of time is to be determined at a mean rate of 1.2 times once every 22 years.
Step-by-step explanation:
Poisson probability distribution is used to determine probability of an event in a fixed interval of time and space given that the event occurs with known mean rate and independently of time since its last occurance.
In this scenario,
Mean is 1.2 times once every 22 years.
probability of number of earth quakes in any fixed interval of time is to be determined
occurance of event that is number of earth quake in a fixed interval is independent variable.
Q1
Divide each distance by its time to find the speed for each driver.
T: 380 km / 4 hr = 95 km/h
M: 530 km / 5 hr = 106 km/h
Martine's average speed was greater.
Q2
Bronze to aluminum is 25:2
The alloy is bronze plus aluminum, so by adding 25 + 2 you get 27.
Bronze to total is 25:27
25 is 27 as x is to 55
25/27 = x/55
27x = 25 * 55
x = 50.926
Answer: 50.926 kg of bronze
Q3
Manipulative toys to art toys is 30:40
Total toys = 30 + 40 = 70
manipulative toys are 30 out of 70
30/70 * 100 = 42.9%
Answer:
3
Step-by-step explanation:
-(x-4)+5=3x+6-x(BODMAS)
-x+4+5=3x+6-x(collect like terms )
4+5=3x+x-x
9=3x (divide both sides by 3)
9/3=3x/3
3=x
