5. D (the number under the square root symbol must be greater than or equal to 0.
To subtract fractions, we need an lcd( lowest common denominator)
8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction
to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)
to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)
these two numbers now have the same denominator so we subtract them
24/42 - 21/42 = 3/42 which simplifies to 1/14
9. since these fractions already have a common denominator, we will make them mixed fractions
-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7
-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7
now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7
Answer:
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Answer:
129
Step-by-step explanation:
Considering the survey to be representative, you can simply multiply the share of students <em>p</em> preferring “Track & Field” with the whole school population at the same time to estimate the number of such students in the whole school.
First we need to find the relative share <em>p</em> of such answers in the study by dividing it by the sum of answers, assuming that the table is complete for that random sample:
<em>p</em> = 4/(8 + 5 + 4) = 4/17
Then for the whole school we get 550 <em>p</em> ≈ 129.4
