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  1. 1 day ago · Count the number of favorable outcomes (outcomes with at least one head). There are 7 such outcomes. Express the final probability as a fraction or a decimal. The probability that at least one head appears when a fair coin is tossed three times is: 7 8 or 0.875 Thus, the probability that at least one head appears is 7 8 or 0.875.

  2. 1 day ago · Step 2/9. Simplify the right-hand side of the equation. Start by simplifying the exponent: [ 10 − 1018 35] 3 = 10 − 1018 35 ⋅ 3 = 10 − 3054 35. Step 3/9. Now, rewrite the equation with the simplified exponent: 5 ⋅ 10 − 3 = 45 3 ⋅ 10 − 3054 35. Step 4/9. Express 45 3 as a power of 10.

  3. 1 day ago · The area of circle O is 12, and the angle of the shaded sector is 45 ∘. Recall the formula for the area of a sector of a circle: Area of sector = ( θ 360 ∘) × Area of the circle where θ is the central angle of the sector. Substitute the given values into the formula. Here, θ = 45 ∘ and the area of the circle is 12: Area of sector ...

  4. 1 day ago · A subgroup is a subset of a group that is closed under the group operation and the operation's inverse. An example of a subgroup of (Z, +) would be the set of even integers, denoted as 2Z. This set includes all integers that can be written as 2n, where n is an integer. This is a subgroup because the sum of any two even numbers is always even ...

  5. 1 day ago · live commentary cricket match today 是 One of the most eagerly awaited fixtures for RCB fans is the matches against the Rajasthan Royals. These games have produced some thrilling moments in the past, with both teams boasting star-studded lineups and a fierce competitive spirit. The clashes between RCB and RR are always filled with drama and ...

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