![]() ![]() Ratio of the numbers such that the first three numbers are all odd to the total number of ID number possible Hence, the probability that the first three digits of Felecity’s ID number will all be odd numbers is: ( Since at the first place any of the number could come up, in the second place any of the remaining four number could come up, in the third place any of the remaining three numbers could come up and so on) Total number of ID numbers that are possible are: Similarly in the fourth place any of the two non-odd number could come and at the last place the remaining non-odd number will come up) ( Since, in the first place any of the three odd number could come up, in the second place any of the remaining two odd number could come up and in the third place the remaining odd number will come up. The number of ID which contain the odd number in the first three places is: The ID number contains the digits: 5,0,3,7,4 which expression represents the volume of the remaining wood. a right circular cone with a diameter of 8 cm and an altitude of 8 cm will be cut out of the cube. The complete question is, A company is creating an object from a wooden cube with an edge length of 8.5 cm. Hence, the volume of the remaining wood is represented by expression ![]() Volume of remaining wood = (length)³ - 1/3 π (radius of right circular cone)²(height or altitude) Volume of remaining wood = volume of cube - volume of right circular cone And a right circular cone with a diameter of 8 cm and an altitude of 8 cm will be cut out of the cube. Given that length of wooden cube is 8.5 cm. In simple words space is taken by object. Space occupied by an object in three dimensional space is called as volume of an object. The volume of the remaining wood is represented by expression Moving on to the next step in finding the final answer, you would set (x + 2) and (x + 3) equal to 0 and solve for x To check if this factoring job works, you can use the FOIL method to check, which multiples the First two terms, the two Outside terms, the two Inside terms, and the Last two terms of each factor. Where do the x's come from?: they come from x², one x for each factor. So the equation replaced by factoring would be (x + 2)(x + 3) = 0. The answer to this is 2 and 3, as 2 + 3 = 5 and 2 x 3 = 6. as in, you cant use 4 + 1 to make 5 and 2 times 3 to make 6. so to break down the equation, we need to find what 2 numbers multiplied together equal 6, and what numbers added together equal 5? both numbers have to be the same numbers added together and multiplied. To factor is to basically break down the equation. in this equation, factoring works and is a much shorter process than using the quadratic formula. There are multiple ways to solve this equation, two common ways you could use to solve is the quadratic formula or factoring. To solve: bring -6 to the left side by adding 6, so the right side is equal to 0 X² + 5x = -6 is the start of a quadratic equation ![]()
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