For any probability the formula is
. In this case we have 4 desired outcomes (the odds, 1, 3 and 5, and also 6) out of 6 total sides, so our probability
.
Mutually exclusive means the events cant occur at the same time. In our case it is not possible to roll both a 6 and an odd number at the same time since 6 is even. Therefore the events ARE mutually exclusive.
Combine the two parts and C is the correct answer. <span />
Answer:
The principal must be = $8991.88
Step-by-step explanation:
Formula for compound interest is:
Where A is the amount after 't' years.
P is the principal amount
n is the number of times interest is compounded each year.
r is the rate of interest.
Here, we are given that:
Amount, A = $15000
Rate of interest = 13 % compounded quarterly i.e. 4 times every year
Number of times, interest is compounded each year, n = 4
Time, t = 4 years.
To find, Principal P = ?
Putting all the given values in the formula to find P.
So, <em>the principal must be = $8991.88</em>
Answer:
0.213
Step-by-step explanation:
→ Convert into binomial information
x ~ B ( 12 , 0.4 )
→ Write down probability required
p ( x = 4 )
→ Evaluate
0.2128
Answer:
3x + y = -16
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given a system of equations are
5x+6y =-5
- 2x - 5y = -11
multiply '1' and Adding two system of equtions
+ 1 (5x + 6y = -5)
+ 1 (<u> -2x - 5y = -11)</u>
<u> 3x + y = -16 </u>
<u>Final answer:-</u>
5x + 6y = -5
<u> -2x - 5y = -11</u>
<u> 3x + y = -16 </u>
<u />
The formula is (degree)x(pi÷180)
36 x pi ÷ 180
0.63 rad
