Answer:
Sam worked hours that day (fractional answer)
Step-by-step explanation:
The total number of hours Sam worked is the sum of all the three hours given.
Let's add the first 2 using LCM and then add that result with the last.
Firstly:
Now,
The hours worked by Sam is 41/30 hours (fractional answer).
Answer:
c. 33.0%
d. 14.5%
Step-by-step explanation:
For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.
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<h3>c.</h3>Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...
32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard
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<h3>d.</h3>The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...
24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard
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<em>Additional comment</em>
a. 97/166 ≈ 58.4% surf
b. 89/166 ≈ 53.6% do not skateboard
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This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with <em>frequencies</em>. Such tables can also display <em>relative frequencies</em> by dividing the entire table by the total of totals in the lower right corner.
Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:
That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17