prove that if f is a continuous and positive function on [0,1], there exists δ > 0 such that f(x) > δ for any x E [0,1] g

Answer:

The answer is "Option 2".

Step-by-step explanation:

Please find the complete question in the attached file.

When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.

Final answer:

None of the claims must necessarily be true based on the 8% average profit data provided. The information supplied does not specify individual profits, future profits, or the distribution of profits.

Explanation:

Based on the statement that the investment company's clients on average, made a profit of 8% last year, none of the claims must necessarily be true. The key phrase here is that the average profit was 8% - this does not provide specific information about any individual client's profit.

Option a is not necessarily true because this statement makes assumptions about future profits, which cannot be ascertained from last year’s average profit. For option b: even if the average profit was 8%, it's possible that no single client made exactly 8%. Similar logic applies to option c. The average doesn't tell us the distribution of the data, so we cannot deduce that more than half the clients made a profit of at least 8%. For option d: we cannot confirm if at least one client made a profit of more than 11% purely based on the average profit figure of 8%. Lastly, for option e: it's possible, but not guaranteed, that at least one client made a profit of exactly 8%. Hence, the answer is option f: None of the above statements is true.

Learn more about Statistics here:

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Answer:

Measure of CIO = 30°

Measure of MAP = 150°

Complement of smaller angle = 60°

Step-by-step explanation:

Given that <CIO and <MAP are supplementary, therefore:

m<CIO + m<MAP = 180°

Let x be m<CIO

m<MAP = 5x

Thus:

x + 5x = 180

Solve for x

6x = 180

Divide both sides by 6

x = 30°

The smaller angle = m<CIO = x = 30°

The bigger angle = m<MAP) = 5x = 5(30) = 150°

Complement of the smaller angle = 90 - 30 = 60°

Answer:

-7/9

Step-by-step explanation:

Answer:

-7/9

Step-by-step explanation:

formula: y2-y1/x2-x1

14-7/1-10=

7/-9

Answer:    c=2πr

Step-by-step explanation:

because im just that guy

Answer:

c=62.8

Step-by-step explanation:

diameter=20

radius=10

c=2πr

c=2×22/7×10

c=62.8

Answer:

t=3

Step-by-step explanation:

5t-4=|11

+4 |+4

5t= | 15

÷5 | ÷5

t = 3

Answer:

V=3052.1 square units.

Step-by-step explanation:

Using the formulas

V=4

3πr^3

d=2r

Solving for V

V=1

1/6πd^3=1

1/6·3.14·18^3=3052.08

round to the nearest tenth place so your volume would be 3052.1 :)

Answer:

3052.1

Step-by-step explanation:

The formula for volume of a sphere: 4/3 x pi x r^3 (4/3 x pi x radius x radius x radius).

Here, only the diameter is shown. To find the radius, we must divide the diameter (18) by 2.

18 / 2 = 9

9 is the radius.

Now, we have our final equation:

4/3 x pi x radius x radius x radius

4/3 x 3.14 x 9 x 9 x 9 = 3052.08

(3.14 is commonly used for pi)

3052.08 rounded to the nearest tenth is 3052.1

Therefore, 3052.1 is the volume of the sphere.