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iragen [17]
3 years ago
9

Which point on the coordinate plane is a reflection of point A across the y-axis?

Mathematics
2 answers:
Len [333]3 years ago
7 0
Point N is a reflection of Point A across the y-axis!
sladkih [1.3K]3 years ago
5 0
That would be point N!
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A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa
Aleksandr [31]

Answer:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =60

\sum_{i=1}^n y_i =553

\sum_{i=1}^n x^2_i =582

\sum_{i=1}^n y^2_i =39653

\sum_{i=1}^n x_i y_i =4329

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33

And the slope would be:

m=\frac{642.33}{182}=3.529

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44

And we can find the intercept using this:

b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91

So the line would be given by:

y=3.529 x +37.91

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

y(8) = 3.529*8 + 37.91= 66.142

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

y(11) = 3.529*11 + 37.91= 76.729

4 0
3 years ago
For this isosceles triangle, find the measure of angles h and m.
Genrish500 [490]

Hello,

x + x + 128° = 180°

2x + 128° = 180°

2x = 180° - 128° = 52°

x = 52° / 2 = 26°

7 0
3 years ago
A mixture contains five quarts of acid and water and is forty percent acid. If the mixture is to be weakened to thirty percent a
kirill115 [55]
In five quarts, we have 2 quarts of acid and 3 quarts of water
total = (2 + 3) = 5 quarts
concentration = 2 / 5

We want a 30% concentration
total volume = 2 + x
.30 = 2 / (2+x)
.6 + .30 x  = 2
.30x = 1.4
x = 4.66666 gallons of water
(or we need to add 1.666666 gallons of water)

Double Check:
acid concentration = 2 / (2 + 4.666666)
acid concentration = .30


4 0
3 years ago
Read 2 more answers
What property is -4 + (-3/7)+(-4/7)+7
gizmo_the_mogwai [7]
The answer is 2 but i'm not really sure about it
8 0
3 years ago
Read 2 more answers
If 3 times a number minus 2 equals 13, what is the number?<br> A. –6<br> B. 5<br> C. 2<br> D. 4
rosijanka [135]
It is very important to read and understand the words of the problem before getting down to solving the given question. Numerous information's of immense importance are already given in the question. Those information's will come in handy while solving the question.
Let us assume the unknown number to be = x
Then
3x - 2 = 13
3x = 13 + 2
3x = 15
Dividing both sides of the equation by 3, we get
(3/3) *  x = 15/3
1 * x = 5
x = 5
So the unknown number is 5. I hope the procedure is not very tough for you to understand.
4 0
3 years ago
Read 2 more answers
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