Answer:
Average Mean = 1.8
Step-by-step explanation:
Missing:
X:0 1 2 3 4 5 6
P(x): 0.20 0.30 0.20 0.15 0.10 0.05
Computation:
Average Mean [Probability distribution]
∑[P(x) × X]
= 0 x 0.20 + 1 x 0.30 + 2 x 0.20 + 3 x 0.15 + 4 x 0.10 + 5 x 0.05
= 1.8
Average Mean = 1.8
Answer:
B. 1
Step-by-step explanation:
The 40° angle and the fixed side lengths of 10 cm and 8 cm uniquely determine the locations of Points A and B.
Thus, you can construct only one triangle using these measurements.
Area of a circle: pi r^2
R: radius = half of diameter
Pi: 3.14
^2: squared
3.14^2 * 13 = 530.93
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula

1) 
2) In order to find salary in 5 years we need to plug n=5, we get

= 50000(1.21550625)
<h3>=$60775.3125.</h3>
3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

Plugging n=10, a = 50000 and r= 1.05.


= 628894.62678.
<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>