How do u do 389.2÷28 in 5 grade standard algorithm show work
1 answer:
Answer:
see attached
Step-by-step explanation:
Each digit of the quotient is aligned with the least significant digit of the current dividend. The "current dividend" is that portion of the remaining dividend that is at least 1 and less than 10 times the divisor. The product of the quotient digit and the divisor is subtracted from the "current dividend" to get the remaining dividend.
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For many folks, the hardest part of this algorithm is determining the appropriate quotient digit, and multiplying that by the divisor. Some teachers teach that you start this process by making a list of the multiples of the divisor:
N . . . 28N
1 28
2 56
3 84
4 112
...
This process can be aided by your number sense.
2N is simply N added to itself.
3N is N+2N.
4N is double 2N
5N is half of 10N.
You can proceed to build the table by adding 28 to each previous value, or by recognizing doubles and halves and other sums.
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Answer:
Or
Step-by-step explanation:
We want to find the angle which forms a y-coordinate of
on the unit circle.
The y-coordinate on the unit circle is given by .
This implies that
Or
Answer:
(a) P(A) = 0.34
(b) P(B) = 0.33
(c) P(C) = 0.33
(d) The Complement of event A = 1 - P(A) = 0.66
Step-by-step explanation:
We are given that in the long run, roommate A chooses rock 36% of the time, and roommate B chooses rock 22% of the time; roommate A selects paper 32% of the time, and roommate B selects paper 25% of the time; roommate A chooses scissors 32% of the time, and roommate B chooses scissors 53% of the time.
Let the probability that roommate A chooses rock = P() = 0.36
The probability that roommate A chooses paper = P() = 0.32
The probability that roommate A chooses scissors = P() = 0.32
The probability that roommate B chooses rock = P() = 0.22
The probability that roommate B chooses paper = P() = 0.25
The probability that roommate B chooses scissors = P() = 0.53
(a) Let A = event that roommate A wins the game and thus does not have to wash the dishes.
This will happen only when roommate A chooses rock and roommate B chooses scissors or roommate A chooses paper and roommate B chooses rock or roommate A chooses scissors and roommate B chooses paper.
So, P(A) =
= (0.36 0.53) + (0.32
0.22) + (0.32
0.25)
= 0.1908 + 0.0704 + 0.08
P(A) = 0.34
(b) Let B = event that roommate B wins the game and thus does not have to wash the dishes.
This will happen only when roommate B chooses rock and roommate A chooses scissors or roommate B chooses paper and roommate A chooses rock or roommate B chooses scissors and roommate A chooses paper.
So, P(B) =
= (0.22 0.32) + (0.25
0.36) + (0.53
0.32)
= 0.0704 + 0.09 + 0.1696
P(B) = 0.33
(c) Let C = event that the game ends in a tie.
This will happen only when roommate A chooses rock and roommate B also chooses rock or roommate A chooses paper and roommate B also chooses paper or roommate A chooses scissors and roommate B also chooses scissors.
So, P(C) =
= (0.36 0.22) + (0.32
0.25) + (0.32
0.53)
= 0.0792 + 0.08 + 0.1696
P(C) = 0.3288 ≈ 0.33
(d) The complement of event A = P(A') = 1 - P(A)
= 1 - 0.34 = 0.66.