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Varvara68 [4.7K]
3 years ago
5

Steve drew a coordinate grid on a map of his town, with his house at the origin. His school is located 2 units above his house o

n the
map, and his bank is located 3 units to the left of his school. What are the coordinates of Steve's bank on the map?
(-3,2)
(-2,3)
(2,-3)
(3, 2)
Mathematics
1 answer:
Annette [7]3 years ago
3 0

the cordinates would be (3,2)

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Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal pl
kvasek [131]

Answer: Mean = 7.8

              Median = 9

             Mode = 2,9

Step-by-step explanation: <u>Mean</u> is the average value of a data set. Mean from a frequency table is calculated as:

E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

<u>Median</u> is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: \frac{n+1}{2}

\frac{n+1}{2}=\frac{47}{2} = 23.5

Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

<u>Mode</u>  is the number or value associated with the highest frequency.

In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

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3 years ago
100.00 decreased by 20%<br> Please help
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Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value

Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)

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2 years ago
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Enable M = Mary's age now So Mike's age is 3M 3M + 4 = 2 (M + 4) = 2M + 8 Now, subtract 2M from the two factors. then you definitely have: M + 4 = 8 or M = 4 examine: Mike is now 12. In 4 years, Mary would be 8 and Mike would be sixteen.
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Simply
3Y+-21=12X

Re-order the terms
-21+3Y=12X

(Solving for Y variable)

Move all terms containing y to the left, all other terms to the right.

Add 21 to each side of the equation
-21+21+3Y=21+12X

Combine like terms: -21+21=0
0+3Y=21+12X
3Y=21+12X

Divide each side by 3
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Simplifying
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