Answer:
<em>159 feet of fabric</em>
Step-by-step explanation
We are told that 1 curtain is 36inches long
Since 1 foot = 12inches
x foot = 36inches
Cross multiply;
12 * x = 36
12x = 36
x = 36/12
x = 3
Hence 36inches is same as 3 feet
If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;
1 curtain = 3feet
53 curtain = y
y = 53 *3
<em>y = 159 feet</em>
<em>Hence she will need 159 feet of fabric</em>
<em> </em>
Answer:
6a^2
Step-by-step explanation:
Answers:
Row 1: No, No, No
Row 2: Yes, Yes, Yes
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Explanation:
Use the vertical line test. If it is at all possible to draw a single vertical line through more than one point on the relation curve, then the relation is not a function. This is because a function is only possible when any x input leads to exactly one y output.
So that's why graphs 1,2,3 are not functions, while graphs 4,5,6 are functions.
<h2>
Answer with explanation:</h2>
Given : A standardized exam's scores are normally distributed.
Mean test score : 
Standard deviation : 
Let x be the random variable that represents the scores of students .
z-score : 
We know that generally , z-scores lower than -1.96 or higher than 1.96 are considered unusual .
For x= 1900

Since it lies between -1.96 and 1.96 , thus it is not unusual.
For x= 1240

Since it lies between -1.96 and 1.96 , thus it is not unusual.
For x= 2190

Since it is greater than 1.96 , thus it is unusual.
For x= 1240

Since it lies between -1.96 and 1.96 , thus it is not unusual.
We are to solve for the price per unit. Let "x" be the price per unit.
The given values are the following:
Variable Cost = 1250,000 *x
Fixed Cost = $780,000
Net Profit = $650,000
Variable cost per unit = $19.85
The solution is shown below:
$650,000 = 1,250,000*x - $780,000 - $1,250,000*$19.85
x = $26, 242, 500 / 1,250,000 units
x = $20.994
The price per unit is $20.99 and the answer is letter "D".