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harkovskaia [24]
2 years ago
6

Jacob and his parents are going to visit Mitford University, which is 455 miles from where they live. They plan to drive for 4 h

ours on the first day, then stop at a hotel for the night and complete the trip on the second day. They expect their average speed will be 65 miles per hour. How many hours will they drive on the second day?
Mathematics
1 answer:
Andrej [43]2 years ago
6 0

Answer: 3 hours

Step-by-step explanation: 65x4=260 455-260=195 195/65=3

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5 0
3 years ago
Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don
Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

nP_r=\frac{n!}{(n-r)!}

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

_nC_r=\frac{n!}{(n-r)!r!}

The formula can now be applied as follows;

\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}

If the order is not relevant, then the selection can be done in 56 ways.

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Where is the genetic information found in eukaryotic cells?

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Karo-lina-s [1.5K]
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the expression that is equivalent to

To multiply it we apply FOIL method
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7 0
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