Answer:
answer is 0.001254.
Step-by-step explanation:
Given that you invested in 3 stocks of Engineering Aces, Upton Clothiers, and Thompson Musical Instruments.
Also given that each stock value is independent of the other.
Let E be the event changing in value by more than 10% in a given week for Engineering Aces,
U be the event changing in value by more than 10% in a given week for Upton Clothiers, and T be the event changing in value by more than 10% in a given week for Thompson Musical Instruments.
Given that P(E) = = 19%
P(U) = 11%
P(T) = 6%
probability that all three will change by more than 10% in the same week
= P(EUT)
= P(E) P(U) P(T) since three events are independent.
=0.19(0.11)0.06
= 0.001254
Answer:
The correct answer is the last option.
Step-by-step explanation:
When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.
For the expression:

The denominator conjugate is 4 + 2i
When multiplied, the denominator is:

Answer:
1. The amount of time you keep your porch light on.
2. The temperature you keep your air conditioner at.
Step-by-step explanation:
<u>Porch Light Time Example: </u>
The light does not turn on or off based on the bill, thus its independent, but the bill is effected by the amount of time the light is on thus dependent.
You keep your porch light on for 24 hours a day for 1 month, that month your electricity bill is $50.
Next month you keep your porch light on for 12 hours a day and your electricity bill is $40.
<u>Air Conditioner Temp Example: </u>
The thermostat temperature is not effected by the bill, thus its independent, but the bill is effected by the thermostat, thus dependent.
You set your thermostat to 70 degrees for 1 month, that month your electricity bill is $50.
Next month you set your thermostat to 75 degrees for 1 month, that month your electricity bill is $40.
Answer:
2 29/30
Step-by-step explanation: