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kakasveta [241]
3 years ago
5

Angle RZT=110 Angle RZS=3s Angle TZS=8s What are angles RZS and TZS?

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0
Angles RZT, RZS, and TZS form triangle RZT, so they sum to 180.  Thus, we have:

110+3s+8s=180

Simplifying, we have:

11s=70

Dividing by 11, we see that:

s=70/11

Therefore, RZS=3s=210/11, and TZS=8s=560/11.
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3 years ago
A 4-digit PIN number is selected. What it the probability that there are no repeated digits?
geniusboy [140]

Answer:

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Step-by-step explanation:

The <em>probabilities</em> constitute a branch of mathematics that deals with measuring or quantitatively determining the possibility that an event or experiment produces a certain result. The probability is based on the study of combinatorics and is the necessary foundation of statistics.

A <em>permutation</em> is an ordered arrangement of objects in a group, without repetitions.

A 4-digit PIN is selected. What is the probability that there are no repeated digits?

First, there are only 10 possible values for each digit of the PIN (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The total possibles 4 PINs are 10^{4} =10000

There's no repeated numbers and all the four numbers have to be different, which means we have to select 4 numbers out of 10 numbers. Using the permutation equation nP_{k} =\frac{n!}{(n-k)!}

10P_{4} =\frac{10!}{(10-4)!}=10.9.8.7.6= 5040

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.

5 0
4 years ago
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