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galina1969 [7]
3 years ago
15

A random survey of 500 people in North Carolina showed that 80 had taken a trip to the Great Smokey Mountains National Park with

in a year or less. In a random survey of 200 North Carolinians, how many could be predicted to have taken a trip to the Great Smokey Mountains within a year or less?
a. 16
b. 32
c. 48
d. 80

(with explanation)
Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

B

Step-by-step explanation:

500 divided by 200 = 2.5

80 divided by 2.5 = 32

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Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$
Blizzard [7]
\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}

a^{81}\equiv1^{81}\equiv1\pmod7

b^{91}\equiv2^{91}\pmod7

2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7
8\equiv1\pmod7
2\equiv2\pmod7
\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7

c^{27}\equiv6^{27}\pmod7

6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7

\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7
6 0
3 years ago
A towns population went from 25800 to 42600 in 15 years. What was the percent of change
Novay_Z [31]
42600-25800=16800
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x=112000/42600=2.62%
4 0
3 years ago
I need to figure out what proportion I need to use to convert 3,600 feet into miles
katovenus [111]

There are 5280 feet in a mile:

5280ft/mi

When using proportions to solve for unknown quantities, you need to keep the same units on the same side. This means keep "ft" on the top side and "mi" on the bottom side.

I would go with the second choice.

4 0
3 years ago
Read 2 more answers
Simplify the following
Amiraneli [1.4K]

Answer: 10609

Step-by-step explanation: Raise 103 to the power of 2

8 0
2 years ago
Two other form of 0.326
DaniilM [7]
As a fraction it would be 163/500 and it is 326 thousand
3 0
3 years ago
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