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Arte-miy333 [17]
2 years ago
9

The coordinates of the midpoint of gh are (4,3) and the coordinates of one endpoint are g(5,-6). the coordinates of the other en

dpoint are what
Mathematics
1 answer:
liberstina [14]2 years ago
4 0

Answer:

(3,12)

Step-by-step explanation:

Let the coordinates of h be (x,y).

\frac{5+x}{2}=4 \implies x=3 \\ \\ \frac{-6+y}{2}=3 \implies y=12 \\ \\ \therefore h=(3,12)

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A coffee shop collected the following information regarding purchases from 110 of its customers 59 purchased coffee 39 purchased
Andrej [43]

Answer:

Let X be the number of customer purchased coffee

Let Y be the number of customer purchased donuts

Then X\cap Y is the number of customer purchased both coffee and donuts

X\cup Y  is the number of customer purchased both coffee or donuts

<em><u>The Number of customers purchased  only Coffee:</u></em>

Number of customers purchased  only donuts =n(X -Y)

n( X -Y) = n(X) - n(X \cap Y)

n(X-Y) = 59 -16

n(Y - X) = 43

<em><u>The Number of customers purchased  only donuts:</u></em>

Number of customers purchased  only donuts =n(Y -X)

n(Y - X) = n(Y) - n(X \cap Y)

n(Y - X) = 39 -16

n(Y - X) = 23

<u>The Number of customers did not purchase either of these items:</u>

Number of customers did not purchase either of these items = n(X\cup Y)^{\prime}

First lets find   n(X\cup Y)

n(X\cup Y) = n(X) +  n(Y) - n( X \cap Y)

n(X\cup Y) = 59 + 39 - 16

n(X\cup Y)  = 82

n(X\cup Y)^{\prime}  =110 -  n(X\cup Y)  = 28

5 0
4 years ago
It has been found that 85.6% of all enrolled college and university students in the United States are undergraduates a random sa
kicyunya [14]

Answer:

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7 0
3 years ago
Read 2 more answers
Find the 64th term of the arithmetic sequence
Margaret [11]

Answer:

The 64th term of the arithmetic sequence is -1075.

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n-1)d

In which a_1 is the first term.

−4,−21,−38

First term -4, so a_1 = -4

Common difference of d = -38 - (-21) = -21 - (-4) = -17

Thus

a_n = a_1 + (n-1)d

a_n = -4 - 17(n-1)

Find the 64th term of the arithmetic sequence

This is a_{64}. So

a_n = -4 - 17(n-1)

a_{64} = -4 - 17(64-1) = -4 - 1071 = -1075

The 64th term of the arithmetic sequence is -1075.

8 0
3 years ago
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in. The prism is filled with cubes that have
wariber [46]
The prism is (8 in)/(1/4 in/cube) = 32 cubes by (4 in)/(1/4 in/cube) = 16 cubes by (9/4 in)/(1/4 in/cube) = 9 cubes.

The number of cubes needed to fill the prism is
.. 32 * 16 * 9 = 4608
7 0
4 years ago
Three-fifths is how many pieces of the whole.
Degger [83]
 <span>If you cut the "whole" into 5 equal pieces, then 3/5ths would be 3 of those 5 pieces. so the answer is 3</span>
8 0
3 years ago
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