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Sedbober [7]
3 years ago
9

Hurry please! The table shows the results of a survey about favorite movie theater snacks.Write a fraction in simplest form that

compares the number of people who chose popcorn to the total number of people surveyed.

Mathematics
1 answer:
Basile [38]3 years ago
4 0
So if 24 people chose popcorn and there is a total of 60 people surveyed, the fraction would be 24/60. You still need to simplify the fraction, so divide 24/60 by 4 to get 6/15. Hope this helps. -S
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Evaluate the definite integral using the graph of f(x)<br> (Image included)
Tanya [424]

a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

\displaystyle \int_0^3 f(x) \, dx = \frac12 \times 3 \times 5 = \boxed{\frac{15}2}

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

\displaystyle \int_3^5 f(x) \, dx = \int_3^4 f(x) \, dx + \int_4^5 f(x) \, dx = \int_3^4 f(x) \, dx - \int_3^4 f(x) \, dx = \boxed{0}

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

\displaystyle \int_5^9 f(x) \, dx = -4\times5 = -20

Then by linearity, we have

\displaystyle \int_0^9 f(x) \, dx = \left\{\int_0^3 + \int_3^5 + \int_5^9\right\} f(x) \, dx = \frac{15}2 + 0 - 20 = \boxed{-\frac{25}2}

8 0
2 years ago
Yeah i have no clue how to do this and there's two of them soo help is very much appreciated lol
cluponka [151]

Answer:

2^x - 4 is the answer here

5 0
2 years ago
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Debora [2.8K]
The second one is the correct equation. The constant to the right should be the diameter squared, while the numbers inside the parentheses should be the opposite. 
5 0
3 years ago
Read 2 more answers
Find the slope of the line represented by the table of values.
VMariaS [17]
Slope = (9-3)/(5-2) = 6/3 = 2

answer
<span>A) 2 </span>
6 0
3 years ago
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A list of 8 numbers has a mean of 6. work out the total of the numbers.​
VARVARA [1.3K]

Answer:

48

Step-by-step explanation:

The mean of a number is the sum of all the numbers divided by how many numbers there are. We can set up this formula: mean = \frac{sum}{amountnumbers}.

When we plug our values into this equation, we get: 6 = \frac{sum}{8}. Solving this equation gets us sum = 6 * 8 = 48

8 0
2 years ago
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