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bogdanovich [222]
3 years ago
12

Consider the given function and the given interval.

Mathematics
1 answer:
docker41 [41]3 years ago
7 0

Answer:

  (a)  fave = 8

  (b)  c = 64/9

  (c)   c ≈ 7.111

Step-by-step explanation:

(a) The average value of the function is its integral over the interval, divided by the width of the interval.

  f_{ave}=\displaystyle\frac{1}{16-0}\int_0^{16} {3x^{\frac{1}{2}}} \, dx=\left.\frac{x^{3/2}}{8}\right|_0^{16}=8

__

(b) We want ...

  f(c) = 8

  3√c = 8 . . . . . use f(c)

  √c = 8/3 . . . . . divide by 3

  c = (8/3)² . . . . square

  c = 64/9

__

(c) c ≈ 7.111

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Solve the inequality. Graph the solution.<br> 7z&lt; -28
Zepler [3.9K]

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9

6 0
3 years ago
. Only 2% of a large population of 100-ohm gold-band resistors have resistances that exceed 105 ohms. a. For samples of size 100
Soloha48 [4]

Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.

  • <em>Sampling distribution of proportion, P = 2% = 0.02 </em>

  • <em>Sample size, n = 100</em>

<u>The sampling distribution of the sample proportion can be calculated thus</u>:

  • <em>Distribution of sample proportion = np</em>

Distribution of sample proportion = (100 × 0.02) = 2

Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.

Learn more : brainly.com/question/18405415

4 0
2 years ago
Consider the rational number, −0.4. Is the number greater than −2 and 1/3 but less than 4/5 ?
8_murik_8 [283]

Answer:

No

Step-by-step explanation:

Since the rational number -0.4 is a negative, it cannot have a greater value than 1/3 since it is a positive.

Though, the rest of the sentence is true.

-0.4 > -2

-0.4 < 4/5

3 0
3 years ago
Find area and perimeter of shaded regions below
aleksandrvk [35]

Answer:

Step-by-step explanation:

ABCD is a square.

side = 24 cm

Area of square = side  * side = 24 * 24 = 576 cm²

Semicircle:

d = 24 cm

r = 24/2 = 12 cm

Area of semi circle =πr²

                               = 3.14 * 12 * 12

                               = 452.16 cm²

Area of shaded region = area of square - area of semicircle  + area of semicircle

  = 576  - 452.16 + 452.16

  = 576 cm²

Perimeter:

Circumference of semicircle = 2πr

               = 2 * 3.14 * 12

               = 75.36

Perimeter = 2* circumference of semicircle + 24 + 24

                = 2 * 75.36 + 24 + 24

                = 150.72 + 24 + 24

                 = 198.72 cm

6 0
3 years ago
Hi
Alona [7]
You’re absolutely amazing and I really appreciate that you’re trying to help others! And if you need anything yourself please feel free to ask :)
5 0
3 years ago
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