The integers divisible by any set of positive
integers are the multiples of their LCM
let us first write the factored form of each
10 = 2×5
12 = 2×2×3
16 = 2×2×2×2
18 = 2 x3×3
Now we will find lcm of these numbers
LCM = 2×2×2×2×3×3×5 = 720
The multiples of 720 are divisible by 10,12,16 and 18.
2000/720 = 2.777777...
The least integer greater than that is 3, so 3×720 = 2160 is
the least integer greater than 2000 that is divisible by
10,12,16 and 18.
so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160
2160-2000=160
so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18
Its is d the answer is d idk why this thing makes type more then what i need tro type
Answer:
Step-by-step explanation:
The interval [4, ∞) all real numbers 4 and greater, whereas the interval (4,∞) not includes the endpoint 4.
Answer: No
Step-by-step explanation:
The distance hiked of Mark is represented by 2*t + 100
and the distance hiked of Zoe is represented by 2*t
here, you can see that the slope of both equations is equal, this means that in the same lapse of time, Zoe and Mark displace the same amount, but because Mark started earlier, he has a y-intercept bigger than zero, so for every value of t, the distance that Mark hiked will be higher than the one of Zoe.
We can represent this by:
2*t + 100 > 2*t
100 > 0
So the distance hiked by Mark is always bigger than the one of Zoe
Answer:
d. H0: 
vs. 
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.
Null hypothesis :
Alternative hypothesis: 
Or equivalently:
Null hypothesis :
Alternative hypothesis: 
Other important thing is that on the alternative hypothesis we never can have the symbol equal.
So on this case the best options is:
d. H0: vs.
