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  • Question #6b72f - Socratic
    The equation of a straight line divides the plane into two halves Let's first consider the equality: 2x+5y=15 This is the equation of a straight line, as follows: 5y=-2x +15, or in a more canonical form: y=-2 5x+3 That is, the straight line with slope -2 5 and y intercept 3
  • Circle A has a center at (5 ,4 ) and a radius of 9 . Circle B has a . . .
    As sum of the radii of the two circles at #15# is more than distance between their centers which is #7 2111#, circles do overlap,
  • Kelly on Socratic
    I love math and science Although I like science more than math, I'm not good explaining the science concepts In comparison, I feel that I'm more confident with math than science! Therefore, I want to enrich my knowledge through this online learning environment as well as helping others 55,920 students helped 15 Answers 41 Asked
  • Zal picked 12 cherries from one tree and 3 from another. He . . . - Socratic
    We know that Zal's Total - Karen's Total = 8 since that's how many more cherries Zal picked We also know that "Zal picked 12 cherries from one tree and 3 from another" Which means that Zal picked 12+3=15 cherries So if Zal's Total is 15, the first equation becomes: 15 - Karen's Total = 8 Let's call Karen's Total K_T to make writing easier
  • Addison is making caramel covered apples for 15 friends. She has . . .
    3 dozen means 36 apples She will cover 9 more apples She has to cover total 15times3=45 apples She has covered 12times3=36 apples (Note that one dozen is 12) She will cover 45-36=9 more apples
  • Question #e4a46 + Example - Socratic
    15 15 is correct In general, the number of ways to choose k objects from a set of n objects is ((n),(k)) = (n!) (k!(n-k)!) When choosing one object, this simplifies nicely ((n),(1)) = (n!) (1!(n-1)!) = (n!) ((n-1)!) = n (note that this is intuitively obvious, as there are clearly only n choices when choosing a single object from n objects, however the above formula is useful for more complex
  • Question #d04e8 - Socratic
    Exact volume of the cone =15 4 pi " inches"^3 Approximate value~~11 78" inches"^3 to 2 decimal places Area of a circle is pir^2 This forms the base of the cone For a tube the volume would be pir^2xxh Where h is height and r is the radius
  • The numbers of television licenses brought at a particular post office . . .
    For example, if you have the numbers 15,9,23,12 and 17, to find the mean you would first add them together (15+9+23+12+17=76), then you would divide their sum by how many numbers were used (76 5 = 15 2) , and there you have your mean To find the deviation is more complicated, but still doable There are 4 steps to find the standard deviation: 1




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