Question

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Answer 1

14. 32 out of the 125 people surveyed preferred Company B. If the same proportion holds for the larger sample, we expect

... (32/125)×750 = 192 . . . . people would prefer Company B

15. There are a total of 45 marbles in the bag, of which 28 are NOT blue. The probability of drawing a NOT blue marble is 28/45.

16. We can desginate the point where the lines meet as O. Angles NOK and MOL are vertical angles, so are equal. The diagram tells you the measure of NOK is 90° + 15° = 105°, so that is the measure of (5x)°. The value of x is

... 105/5 = x = 21

17. Division by a fraction is the same as multiplication by its inverse.

$-\dfrac{10}{19}\times -\dfrac{7}{5}=\dfrac{10}{5}\cdot\dfrac{7}{19}=2\cdot\dfrac{7}{19}\\\\=\dfrac{14}{19}$