Answer:
= 29/12 − -13/6
<span>= ((29 × 6) − (-13 × 12)) / (12 × 6) </span>
= (174 - -156) / 72
= 330/72
= 55/12
<span>= 4 7/12</span>
Answer:
11/24 is left over
Step-by-step explanation:
1/6 + 3/8 = 13/24
24/24 - 13/24 = 11/24
11/24 of the budget is left over
Hope this helps
Answer:
The judicial branch is important because it complements the other two branches. The executive branch defends the country and enforces the law, the legislative passes, amends and repeals laws, and the judicial branch interprets the law and passes punishment.
hope this helps :)
Answer:
<BCO = <BAO = 20degrees
Step-by-step explanation:
If <ABC measures 100 and is inscribed in a circle O. find <BAO and <BCO
To get <BAO and <BCO, we need to get <AOC first.
From the figure, it can be seen that triangle ABC is an isosceles trinagle. Hence;
<BAC + <BCA + 100 = 180
Since <BAC = <BCA
<BAC + <BAC = 180 - 100
2<BAC = 80
<BAC = 80/2
<BAC = 40
Also;
<BAO = <BCO and <BAO = <BAC/2
<BAO = 40/2 = <BCO
Hence <BCO = <BAO = 20degrees
We will be using the binomial probability formula to solve the problem
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ⁻ˣ
Where:
n = the number of trials = 100
x = the number of samples we are trying on = 3
p = the probability of success = 2% = 0.02
We can either calculate ⁿCₓ by using the scientific calculator using the

button or by doing it manually use

P(3) = ¹⁰⁰C₃ (0.02)³ (1 - 0.02)¹⁰⁰⁻³
P(3) = ¹⁰⁰C₃ (0.02)³ (0.98)⁹⁸
P(3) = 0.182 (rounded to three decimal places)
Correct answer: option 3