Answer:
Part A


Part B
Geometric Sequence
Part C
1/4,3/4,5/4,7/4,9/4

Part D:

Step-by-step explanation:
By definition, an Arithmetic Sequence holds the same difference between each following number.
Part A

<u>Explicit Formula</u>
To write an explicit formula is to write it as function.

<u>Recursive Formula</u>
To write it as recursive formula, is to write it as recurrence given to some restrictions:

Part B

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24
Part C

Arithmetic Sequence, difference

<u>Explicit Formula:</u>

<u>Recursive Formula</u>

Part D
(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4
<u>Explicit formula</u>

<u>Recursive Formula</u>

Answer:
(a) 0.119
(b) 0.1699
Solution:
As per the question:
Mean of the emission,
million ponds/day
Standard deviation,
million ponds/day
Now,
(a) The probability for the water pollution to be at least 15 million pounds/day:


= 1 - P(Z < 1.178)
Using the Z score table:
= 1 - 0.881 = 0.119
The required probability is 0.119
(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:



P(Z < - 0.86) - P(Z < - 1.96)
Now, using teh Z score table:
0.1949 - 0.025 = 0.1699
28(8) = 224
224(5) = 1,120
1,120(50) = 56,000
Answer: 56,000
Answer:
The relationship between the angles is alternate exterior angles.
Step-by-step explanation:
Exterior means outside.
Alternate means every other or in this case across form each other.
These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.
Answer:
V = 6079.04 ft³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then
V = 3.14 × 11² × 16
= 3.14 × 121 × 16
≈ 6079.04 ft³ ( to the nearest hundredth )