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weeeeeb [17]
3 years ago
13

Math question:

Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer: 352

Step-by-step explanation:

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The function f is continuous son the interval [2, 10] with some of its values given in the table below. Use a right Riemann Sum
Marta_Voda [28]

The 4 subintervals are given: [2, 4], [4, 7], [7, 9], and [9, 10].

Each subinterval has length: 4 - 2 = 2, 7 - 4 = 3, 9 - 7 = 2, and 10 - 9 = 1.

Over each subinterval, we take the value of the function at the right endpoint: 3, 8, 15, and 18.

Then the integral is approximately

\displaystyle\int_2^{10}f(x)\,\mathrm dx\approx3\cdot2+8\cdot3+15\cdot2+18\cdot1=78

so 78.0 is the correct answer.

8 0
3 years ago
Read 2 more answers
The tables show the number of chin-ups done by students in two different gym classes. 2nd Period 3 4 12 14 7 7 8 4 8 3 11 10 9 8
Mekhanik [1.2K]

Answer:

On average, students in the 4th period did more chin-ups than students in the 2nd period

Step-by-step explanation:

Given the table values as

2nd Period     3  4 12 14 7  7  8  4  8  3  11  10  9   8 10 4  8 7  13 9

4th Period      10 3 14 14 16 15 7 12 7  10 12  8  10  9 6  11  9 1   2 5

Find the average chin-ups done by students in the gym classes

For 2nd Period gym class, the average will be;

=sum of chin-ups ÷ number of students

=sum of chin-ups in 2nd period gym class=

=3 + 4 +12+ 14+ 7 + 7 + 8+  4 + 8 + 3+  11+  10+  9 +  8 +10+ 4+  8+ 7 + 13+ 9\\\\=159

=number of students=20

Average=159÷20

=\frac{159}{20} =7.95\\\\\\=8

For 4th Period gym class

Sum of chin-ups=

=10+ 3+ 14+ 14 +16 +15+ 7 +12 +7+ 10+ 12 +8+ 10+ 9+ 6+ 11+ 9 +1 +2 +5\\\\\\=181

Number of students=20

Average number of chin-ups in the 4th period gym class

=\frac{181}{20} =9.05\\\\\\=9

Average number of chin-ups in 2nd Period Class = 8

Average number of chin-ups in 4th Period Class= 9

Conclusion; On average students in the 4th period gym class made more chin-ups (9) than those in 2nd period gym class (8).

3 0
4 years ago
Read 2 more answers
What is the value of x?
inn [45]

Answer:

x = 19

Step-by-step explanation:

These type of angles always equal each other

3x - 3 = 6x - 60

Subtract 3x from both sides

-3 = 3x - 60

Add 60 to both sides

57 = 3x

19 = x OR x = 19

6 0
4 years ago
AXYZ is rotated 180°.<br> What are the coordinates of point X'?
vredina [299]
<h3>Answer:  (4, -1)</h3>

Reason:

When rotating a point 180 degrees around the origin, you use the rule

(x,y) \to (-x,-y)

We flip the sign of each coordinate from positive to negative or vice versa.

The point X is at the location (-4, 1). Rotating this 180 degrees will get us to X'(4, -1)

5 0
3 years ago
How do you solve log base 64 of 0.5 = x?
alexandr1967 [171]
㏒₆₄(0.5) = x
        64ˣ = 0.5
  ㏑(64ˣ) = ㏑(0.5)
 x㏑(64) = ㏑(0.5)
  x㏑(2⁶) = ㏑(2⁻¹)
 6x㏑(2) = -㏑(2)
  6㏑(2)     6㏑(2)
           x = ⁻¹/₆
4 0
3 years ago
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