Answer:
D) log (xy/z^2)
Step-by-step explanation:
The given expression is log x + log y - 2 log z
Here we use log rules to simplify this.
Product rule: log x + log y = log (xy)
Quotient rule : log x - log y = log(x/y)
Power rule: log(x^y) = y.log(x)
Using the product rule
log x + log y - 2 log z
= log(xy) - 2 log z
Use the power rule now.
= log(xy) - log z^2
Now we have to use the Quotient rule and simplify.
= log
Answer: D) log (xy/z^2)
Thank you.
A triangle equals 180° so set up the equation as
58+73+12x+1=180
132+12x=180 (I got 132 by adding 58,73,1)
Subtract 132 from both sides
You should get 12x=48
Divide both sides by 12
X=4
Answer:
10 Kids In Each Van.
Why?
You already know that 5 students will be in 1 car. That leaves 20 students that need to be assigned to vans. Divide 20 by 2 and you get 10!
Answer:
Bar graph
Step-by-step explanation:
Hopes this helps
Answer:
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Determine the probability that at least one color will be missing from the 10 selected balls.
Red missing:
Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:
(0.8)^10 = 0.1074
White missing:
55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:
(0.75)^10 = 0.0563
Blue missing:
45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:
(0.45)^10 = 0.0003
Total:
0.1074 + 0.0563 + 0.0003 = 0.164
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.