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3 years ago

3. (05.05)

Mathematics

1 answer:

vitfil [10]3 years ago

8 0

Answer:

The inequality x>2 matches the graph.

Step-by-step explanation:

From the graph, it is clear that the shaded graph is heading towards the +ve infinity from the x > 2.

If the inequality includes < or >, we graph the equation as a dotted line.

From the graph, the dotted line indicates that x=2 is not included in the solution of the inequality.

so the interval of the domain of the inequality is: (2, ∞)

Therefore, the inequality x>2 matches the graph.

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Days before a presidential election, a nationwide random sample of registered voters was taken. Based on this random sample, i

erica [24]

Answer:

We are 95% confident that the percentage of registered voters in the nation planning on voting for Robert Smith is between 49% and 55%.

Step-by-step explanation:

Given that :

Margin of Error = ±3%

Sample Proportion = 52%

Confidence level = 95%

The 95% confidence interval is :

Sample proportion ± margin of error

52% ± 3%

Lower boundary = 52% - 3% = 49%

Upper boundary = 52% + 3% = 55%

The interpretation is that at a given confidence level ; the popukation proportion based on the sample proportion and margin of error is in the confidence interval.

7 0

3 years ago

5x : 9 = 8:3 Calculate the value of x.

frez [133]

Answer:
4.8

Explanation:
Please see the picture attached!

I hope this helps! Please comment if you have any questions.

7 0

3 years ago

What is the derivative of 3x+5x

Vaselesa [24]

Answer:

$\displaystyle \frac{d}{dx}[3x + 5x] = 8$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = 3x + 5x$

Step 2: Differentiate

Simplify: $\displaystyle y = 8x$
Derivative Property [Multiplied Constant]: $\displaystyle y' = 8\frac{d}{dx}[x]$
Basic Power Rule: $\displaystyle y' = 8$