Answer:
The best estimate of the probability of getting a green marble from this bag of 50 marbles is 1/3.
Step-by-step explanation:
Andre gets 1 green marble out of 4 trials.
For Andre, the probability of getting 1 green marble is 1/4.
Jada gets 5 green marbles out of 12 trials.
For Jada, the probability of getting 1 green marble is 5/12.
Noah gets 3 green marbles out of 9 trials.
For Noah, the probability of getting 1 green marble is 3/9.
Hence, the best estimate of the probability of getting a green marble from this bag = (1/4 + 5/12 + 3/9)/3 = [(9 + 15 + 12)/36]/3 = 1/3.
Answer: Total amount of money earned last month = $2608.75
Step-by-step explanation:
Miguel earns 2,456.75 every month. This is his constant pay for the month. He also earns an extra 4.75 every time he sells a new gym membership.
Last month, Miguel sold 32 new gym membership. This means that the extra money that he earned for last month will be the number of new gym membership sold times the amount her earns per new gym membership sold. It becomes
32 × 4.75 = 152
Total amount of money earned last month will be sum of his monthly salary + the extra earned. It becomes
2456.75 + 152 = $2608.75
Answer:
C would be your answer as the formula for the volume of a cone is pi*r²*h/3
Step-by-step explanation:
Complementary angles add up to equal 90 degrees. Knowing this, you can subtract 68 from 90. 90-68=22.
Hope this helps.
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
