Assume that the annual household expenditure on sugar is approximately normally distributed with a mean of $8.22 and a standard
1 answer:
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When x =170, y =10, when x = 187, y = 1, when x = 204, y = 12, when x = 221, y = 13, when x = 238, y = 14, when x = 255, y = 15, when x = 272, y = 16, when x = 289, y = 17, when x = 306, y = 18, when x = 323, y = 19, when x = 340, y = 20,
Step-by-step explanation:
Step 1; Assume y is the gallons in the tank while x is the range of the car. We need to determine the equation relating the y to the x values in the given coordinates. x is the dependent value whereas y is the independent value i.e. the value of x depends on the value of y.
Step 2; As y increases, x also increases. For every extra gallon in the tank, the car can go another 17 miles. So with y as the amount of gas in the tank in gallons and x as the range of vehicle, we get;
x = 17y, this represents the relation between x and y.
To find the gallons in the tank, y = ,
For x = 170, y = = 10,
Similarly equating the values we get that when x = 187, y = 11,
when x = 204, y = 12,
when x = 221, y = 13,
when x = 238, y = 14,
when x = 255, y = 15,
when x = 272, y = 16,
when x = 289, y = 17,
when x = 306, y = 18,
when x = 323, y = 19,
when x = 340, y = 20,
Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by . We are given the perimeter of the pool along with the width.
From here, all we have to do is plug back into the original formula:
Which can be further simplified as:
From here, all we have to do is add 70 to both sides of the equation and divide by four:
To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:
And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.