In this task, you are given a sentence in the Japanese language and your task is to convert it into the English language. In translation, keep numbers as it is and make it sentence case (capitalize only the first word of each sentence and noun).

Q: 雲のサイズと分布が典型的なものだと仮定すると、ニカストロと同僚達は、宇宙いたるところにある同様な雲の重粒子平均密度が、行方知れずの重粒子の質量密度と一致することを発見しつつ、初めて信頼できる値を割り出した。

A: Assuming that the size and distribution of the clouds are representative, Nicastro and colleagues made the first reliable estimate of average density of baryons in such clouds throughout the Universe, finding it consistent with the mass density of the missing baryons.
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Q: 「これがいたずらだと知ってすぐに、私は彼の雇用を打ち切るための文書を申請した」とターナー署長は語った。

A: "As soon as we saw it was a hoax, I filed the paperwork to terminate his employment," said Chief Turner.
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Q: 77分にファルカークはボールをネットに入れたが、キルマーノックのゴールキーパーへの明確なファウルのためゴールが認められなかった。

A:
On 77 minutes, the Falkirk side had the ball in the net, but the goal was disallowed for a clear foul on the Kilmarnock goalkeeper.
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