The 2nd one has the following inequality’s that has a solidity on x>-3
Answer:
Part 15) The next three terms are 5/8,3/4 and 7/8
Part 16) The 37th term is -35.5
Step-by-step explanation:
we know that
In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant and this constant is called the common difference (d)
Part 15) Find the next three terms of the arithmetic sequence

so

The common difference is equal to
d=1/8
<u><em>Find the next three terms of the arithmetic sequence</em></u>
<u><em>Find a5</em></u>
----->
<u><em>Find a6</em></u>
----->
<u><em>Find a7</em></u>
----->
therefore
The next three terms are
5/8,3/4 and 7/8
Part 16) what is the 37th term of the arithmetic sequence

so


The common difference is equal to
d=-1.1
We can write an Arithmetic Sequence as a rule

substitute the values

For n=37
substitute



consider first number is = x
formula,
(n / 2)(first number + last number) = sum,
7/2(x+x+6)= 945
2x+6= 945×2/7
2x+6 = 270
2x= 270-6
x=264/2= 132
Answer the smallest number is 132.
Answer: a) 0 and 0.01 b) 0.99 and 1 c) 0.3 d) 0.6
Step-by-step explanation:
Probability is the likelihood that an event will occur. Probability values always lies between 0 and 1 0<P<1
A sure event occurs when the probability is 1 or values pretty close to 1 while probability of an impossible event is 0 or values close to 0. Looking at the given probability values, we can conclude that!
a) 0 and 0.01 = The event is impossible, it would never occur.
b) 0.99 and 1 - The event is certain, it would always occur.
c) 0.3 - The event is highly unlikely, but it will occur once in a while.
d) 0.6 - The event will occur more often than not.