Answer:
1/2
Step-by-step explanation:
2/4 is equal to 1/2, because if you divide 4 by 2 you get 2, and if you divide 2 by 2 you get one.
Basically, the simplification process would look something like this...
2/4 ÷ 2/2 = 1/2
The odds that the three dice's numbers will be different are 5/9 (probability) when three dice, one each of red, blue, and green, are thrown.
The odds of the green die's number being different from the red die's number are 5/6.
The likelihood that the probability blue die will have a different number from both the red and green dice is 4/6=2/3 in the circumstances where the red and green dice have different numbers.
Consequently,
5/6*2/3
=10/18
=5/9 represents the likelihood that all three numbers are different.
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Answer:
sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
Step-by-step explanation:
The given AP is,
1, -4, -9, -14, . . .
first term a = 1,
common difference d = -4 - 1 = -5
number of terms n = 12
<u>Equation:</u>
Sum of n terms of AP, S₁₂ = n/2[2a + (n - 1)d]
S₁₂ = 12/2[(2*1) + (12 - 1)*(-5)]
S₁₂ = 6[2 + (11*(-5))]
S₁₂ = 6[2 - 55] = 6*(-53) = -318
Therefore sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
Answer:
guests.
Step-by-step explanation:
We have been given that there are 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice.
To find the number of guests Mrs. Mathewson can serve with 7/8 quarts of juice, we will divide 7/8 by 3/16 as:
Convert to multiplication problem by flipping the 2nd fraction:
Therefore, Mrs. Mathewson can serve orange juice to guests.
1. Vertex E is the center of the circle, A and B are on the circle.
2. Any angle with these properties (i. E is center, AE and AB are radii) is called a central angle.
3. Check the picture.
4. An important property of these angles is that the measure of the arc AB = m(AEB)
