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Strike441 [17]
3 years ago
5

A manager sample the receipts of every fifth person who goes through the line. Out of 50 people,4 had a mispriced item. If 600 p

eople go to this store each day, how many people would you expect to have a mispriced item?
Mathematics
1 answer:
zepelin [54]3 years ago
3 0
The answer is 48.

<span>Out of 50 people, 4 had a mispriced item: 50 people - 4 mispriced
Out of 600 people, x will have a mispriced item: 600 people - x

Make a proportion:
50 : 4  = 600 : x
50 * x = 4 * 600
50x = 2400
x = 2400 / 50
x = 48</span>
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3 0
2 years ago
Determine the range of the following graph:
Anni [7]

Answer:

Range is between -7 and 8

-7<y<8

Step-by-step explanation:

Range means series of number between lowest and highest output(y-axis) of a function.

Notice on the graph, the lowest y you can get is -7 and highest is 8. Other numbers are in between.  

Thus,  the range is in between of -7 and 8.

4 0
3 years ago
8x+x^2-2y-64+y^2=0 standard form with explanation
xz_007 [3.2K]
X² + 8x +y² - 2y -64 =0
We see that the equation has x² and y² . Also we see that coefficients in front of x² and y² are equal. So this is an equation of the circle.
(x² + 8x) +(y² - 2y) -64 =0
(x² + 8x) +(y² - 2y) = 64
We need to complete square for x and y groups, that means it should be written in form (a+b)² or (a-b)².
Expressions in parenthesis we will write as a²+/-2ab+b², to write it after as (a+/-b)², because  a²+/-2ab+b² = (a+/-b)²

(x² + 2*4x) +(y² - 2*1y) = 64
(x² + 2*4x+4²) +(y² - 2*1y+1²) = 64+4²+1²
(x+4)² + (y-1)²= 81 Sometimes this is called a standard form of the circle.
(x+4)² + (y-1)²= 9² Sometimes it is required to write like this.

And if you are studying circles,ellipses  and hyperbolas, the standard form should look like
\frac{(x+4)^{2}}{9^{2}} + \frac{(y-1)^{2}}{9^{2}} =1






8 0
3 years ago
Write an equation of a line that goes through the point (-9, 3), and is perpendicular to the line 3x + y = 5
Vlad [161]
To find the slope of the line, first find the slope of 3x + y = 5, and then its opposite reciprocal.

3x + y = 5
y = -3x + 5
the slope of 3x + y = 5 is -3.

the slope is -3, so the opposite reciprocal slope is 1/3.

the equation of any line is y = ax + b
to find this line, y = 3, x = -9, and the slope is 1/3.

3 = -9a + b
3 = -9 (1/3) + b
3 = -3 +b
b = 6

substitute a and b into the equation
y = ax + b
y = 1/3x + 6

the equation of the line is y = 1/3x + 6.


3 0
3 years ago
How do i find the area of a semicircle
Alex17521 [72]
Find the area of the circle using A=pi * r^2 and then divide that answer by 2 and that will get you the area of the semicircle.
3 0
3 years ago
Read 2 more answers
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