Answer:
133/152
Step-by-step explanation:
The probability of 2 independent events is the product of the individual events. Independent means the first event has no effect on the probability of the second event. Since we are replacing the first marble, the first even has no effect on the probability of the second event.
There are 48 total marbles
Let A = pulling a blue marble
Let B = pulling a red marble
So
P(A) = 14/48
P(B) = 19/48
and
P(A then B) = (14/48)(19/48) = 266/2,304 = 133/1,152
Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
Answer: third circle
Step-by-step explanation:
C.
Although this is not the exact answer the circumference formula is 2(pi)r. Which is far more than the other two options.
Answer:
C. 4
Step-by-step explanation:
All other answer choices involve the variable 'b' and/or are tied to it in some way. The sole number 4 has no connection to the variable b, therefore it is C. 4.
