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2 years ago

Find the area of the region enclosed by the curves yequals

Mathematics

1 answer:

Step2247 [10]2 years ago

6 0

The area enclosed by the given 2 curves is; 8/3 or 2.67

<h3>How to Solve Integration with Limits?</h3>

We want to find the area enclosed by the curves;

y = x² - 2x

y = -x² + 2x

The point of intersection of the parabola and the line is given by;

x² - 2x = -x² + 2x

2x² - 4x = 0

Solving this gives;

x = 0, 2

Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;

A = ∫₀² (-x² + 2x - x² + 2x)

A = ∫₀² (-2x² + 4x)

Using online integration calculator here gives;

A = 2.67

Read more about Integration at; brainly.com/question/14388434

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A consumer advocacy group wants to determine whether there is a difference between the proportions of the two leading automobile

podryga [215]

Answer:

The answer is "0.3206".

Step-by-step explanation:

$H_0: p_1 = p_2\\\\H_a: p_1 \neq p_2\\\\\hat{p_1} = \frac{X_1}{N_1} = \frac{53}{400} = 0.1325\\\\\hat{p_1}= \frac{X_2}{N_2} = \frac{78}{500}= 0.156\\\\\hat{p} = \frac{(X_1 + X_2)}{(N_1 + N_2)} = \frac{(53+78)}{(400+500)} = 0.1456$

Testing statistic:

$z = \frac{(\hat{p_1}- \hat{p_2})}{\sqrt{(\hat{p} \times (1-\hat{p}) \times (\frac{1}{N_1} + \frac{1}{N_2}))}}$

$=\frac{(0.1325-0.156)}{\sqrt{(0.1456\times (1-0.1456)\times (\frac{1}{400} + \frac{1}{500}))}}\\\\ = -0.99$

Calculating the P-value Approach

$\text{P-value}= 0.3206$

7 0

3 years ago

The graph of g(x)=ax^2 opens downward and is narrower than the graph of f(x)=x^2. Which of the

Masteriza [31]

You’re answer is

b

you’re welcome :)

6 0

3 years ago

Read 2 more answers

2.85 as a mixed number

WARRIOR [948]

The number 2.85 can be writen using the fraction 285/100 which is equal to 57/20 when reduced to lowest terms.
It is also equal to 2 17/20 when writen as a mixed number.
You can use the following approximate value(s) for this number:57/20 =~ 2 6/7 (if you admit a error of 0.250627%)2.85 =~ 2 5/6 (if you admit a error of -0.584795%)2.85 =~ 3 (if you admit a error of 5.263158%)

3 0

3 years ago

Read 2 more answers

What is 3 4/9 as a decimal

goldfiish [28.3K]

Answer: 3.44

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

3 × 9 = 27

Step 2: Add the product you got in Step 1 to the numerator:

27 + 4 = 31

Step 3: Divide the sum from Step 2 by the denominator:

31 ÷ 9 = 3.444444

The answer to 3 4/9 in decimal form is displayed below:

3 4/9 ≈ 3.44

3 0

2 years ago

Find the midpoint of AC if A is located at (-4,9) and C is located at (1,31)

aliina [53]

The midpoint of AC is (-1.5, 20)

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3 years ago