Answer:
x = -3 x=2
Step-by-step explanation:
x^2 + x - 6 = 0
Factor
What two numbers multiply to -6 and add to 1
3*-2 =-6
3+-2 =1
(x+3) (x-2) = 0
Using the zero product property
x+3 = 0 x-2 = 0
x = -3 x=2
Answer:
A = $100(1.12)^2
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case;
P = $100
t = 2years
n = 1
r = 12% = 0.12
Substituting the values, we have;
A = $100(1+0.12)^(2)
A = $100(1.12)^2
Answer:
3.456E + 14= 
Step-by-step explanation:
The river discharges
cubic feet of water into the Pacific Ocean each second.
There are 86,400 seconds in one day.
Amount of water discharges each day

Since this differs from what you have, I will explain the scientific notation.
3.456E + 14 simply means 
The options are not well laid out but you can pick the appropriate option.
Basically plug in 2 where y is and 5 where X is
3(5)(2) - 4(2) , the parentheses are there to multiply
30-8
22
Answer:
a) The probability that exactly 41 of the murders were cleared is 0.0013
b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809.
c) Yes, it would be unusual
Step-by-step explanation:
Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case,
for
, with p=0.62
a) We have that

b) We are asked for the following
(The specific calculation is omitted.
c) We will check for the following probability 

Given that the probability of this event is really close to 0, it would be unusual if less than 19 murders are cleared.