Problem 1
Answer: Closer to 1
Explanation:
There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.
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Problem 2
Answer: Closer to 0
Explanation:
The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50
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Problem 3
Answer: Closer to 0
Explanation:
We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50
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Problem 4
Answer: 48% chance; fairly likely
Explanation:
We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%
Answer:
A)-4,8
B)-2,11
Step-by-step explanation:
A) ( -1-3)(2+5)
B) (1-3)(5+6)
For 
between 
and 
, we have
is continuous over its domain, so the intermediate value theorem tells us that
is true for 
.
For all , we take into account that is 
-periodic, so the above inequality can be expanded to
where 
is any integer. Equivalently,
To get the corresponding solution set for
simply replace with 
:
Answer:
a0 = 4
Step-by-step explanation:
- 6xy^-2/x^-3 =
- 6xx^3/y^2 =
- 6x^4/y^2
- a0 = 4
when
;
for
; and
for