(a) 4 <span>(b) y = sqrt(9 - (9/16)x^2) </span>The most accurate assumption for the equation based on the general format for an ellipse is: [[TAG_3]]x^2/16 + y^2/9 = 1 [[TAG_4]](a). An ellipse is symmetrical along both its major and minor axes. Thus, if you can calculate the area of the ellipse in one quadrant, multiplying that area by 4 will yield the total area of the ellipse, confirming the factor of 4 is accurate. [[TAG_5]] (b). The standard equation for an ellipse doesn't adequately represent a general function as it results in two y values for each x value. However, if we constrain ourselves to the positive square root, that issue can be resolved easily. Here’s how: [[TAG_6]] x^2/16 + y^2/9 = 1 [[TAG_7]] x^2/16 + y^2/9 - 1 = 0 [[TAG_8]] x^2/16 - 1 = - y^2/9 [[TAG_9]] -(9/16)x^2 + 9 = y^2 [[TAG_10]] 9 - (9/16)x^2 = y^2 [[TAG_11]] sqrt(9 - (9/16)x^2) = y [[TAG_12]] y = sqrt(9 - (9/16)x^2)
Part A:
The probability that all three strangers have their birthdays on a Wednesday is calculated as
Part B:
The probability that the birthdays of the three individuals fall on distinct days throughout the week is calculated as
Part C:
The probability that none of the three have their birthdays on a Saturday is determined by
To find the unit price you divide the total cost of the bag by the amount of pounds in the bag.
Thus, the unit price of Kitty Kibbles is 24/16, or 1.5. This means that each pound of Kitty Kibbles costs $1.50.
Also, the unit price of Feline Flavor is 11.20/8, or 1.4. This means that each pound of Feline Flavor costs $1.40
Feline Flavor is cheaper per pound than Kitty Kibbles (or Kitty Kibbles is more expensive than Feline Flavor per pound).
Response: The points do not align in a linear fashion
Detailed explanation:
