<u>Answer</u>
1/2
<u>Explanation</u>
A fair dice have 6 sides labeled 1, 2, 3, 4, 5, and 6.
There are 3 numbers out of 6 that are divisible by 2.
Probability = (number of favourable outcome)/(number of total outcome)
favourable outcome = 3
total outcome = 6
P(numbers that are divisible by 2) = 3/6
= 1/2
Step-by-step explanation:
49² + 98 + 1 compared to a² + 2ab + b² means that
a = 49
b = 1
as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1
so, we have actuality
(49 + 1)² = 50² = 2500
Answer: 40/81
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Work Shown:
B = selecting 1 blue
R = selecting 1 red
P(B) = 5/9, since there are 5 blue out of 5+4 = 9 total
P(R) = 4/9, since there are 4 red out of 9 total
P(2 blue) = P(B)*P(B) = (5/9)*(5/9) = 25/81
P(2 red) = P(R)*P(R) = (4/9)*(4/9) = 16/81
The last two equations are valid because we are sampling with replacement. Each selection is independent.
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P(2 same color) = P(2 blue OR 2 red)
P(2 same color) = P(2 blue) + P(2 red)
P(2 same color) = 25/81 + 16/81
P(2 same color) = (25+16)/81
P(2 same color) = 41/81
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P(2 different color) = 1 - P(2 same color)
P(2 different color) = 1 - 41/81
P(2 different color) = 81/81 - 41/81
P(2 different color) = (81-41)/81
P(2 different color) = 40/81
Step-by-step explanation:
4x² + 8x − 7 = 0
4x² + 8x = 7
x² + 2x = 7/4
x² + 2x + 1 = 11/4
(x + 1)² = 11/4
x + 1 = ±√(11/4)
x = -1 ± √(11/4)
Sin = opposite/hyp
Sin A = 10/26 = 5/13
Sin b = 24/26 = 12/13
The answer is option A
Hope this helps