Answer:
The required points are -
(-2,8), (7,5), (1,7)
Answer:






Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

Distribution







Answer:
PV= $3,402.9
Step-by-step explanation:
Giving the following formula:
Future Vale (FV)= $5,000
Number of years (n) 5 years
Interest rate (i)= 8.5% compounded annually
<u>To calculate the initial investment (PV), we need to use the following formula:</u>
PV= FV / (1 + i)^n
PV= 5,000 / (1.085^5)
PV= $3,402.9
Answer:
33.4933 ≈ 33.5 mm³
Step-by-step explanation:
Given that,
→ Radius (r) = 2 mm
Formula we use,
→ 4/3 πr³
Let's solve for the volume of sphere,
→ 4/3 πr³
→ 4/3 × 3.14 × 2 × 2 × 2
→ 4/3 × 3.14 × 8
→ 4/3 × 25.12
→ 100.48/3
→ 33.4933
→ [ ≈ 33.5 mm³ ]
Hence, volume of sphere is 33.5 mm³.