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3 years ago

What is the converse of the conditional statement? If x is even, then x + 1 is odd.

Mathematics

2 answers:

VMariaS [17]3 years ago

6 0

Answer: If x is odd then x+1 is even.

Step-by-step explanation:

The converse statement of a conditional statement "If p then q" is given by "If q then p".

The given conditional statement : If x is even, then x + 1 is odd.

Then, the converse statement of the given conditional statement will be :

If x is odd then x+1 is even.

Hatshy [7]3 years ago

3 0

The converse of that statement is

If x + 1 is odd, then x will be even

The converse statement is just switching their sides.

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Oksanka [162]

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(65 * 65 * 19.4)/3

81965/3 is approximately:

27321.6666666667

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4 years ago

Coin a has 0.6 probability of being heads, coin b has a 0.3 probability of being heads and coin c has a 0.1 probability of heads

Marina86 [1]

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3 years ago

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Inessa05 [86]

Split up the integral:

$\displaystyle\int\frac{x+2019}{x^2+9}\,\mathrm dx = \int\frac{x}{x^2+9}\,\mathrm dx + \int\frac{2019}{x^2+9}\,\mathrm dx$

For the first integral, substitute y = x ² + 9 and dy = 2x dx. For the second integral, take x = 3 tan(z) and dx = 3 sec²(z) dz. Then you get

$\displaystyle \int\frac x{x^2+9}\,\mathrm dx = \frac12\int{2x}{x^2+9}\,\mathrm dx \\\\ = \frac12\int\frac{\mathrm du}u \\\\ = \frac12\ln|u| + C \\\\ =\frac12\ln\left(x^2+9\right)$

and

$\displaystyle \int\frac{2019}{x^2+9}\,\mathrm dx = 2019\int\frac{3\sec^2(z)}{(3\tan(z))^2+9}\,\mathrm dz \\\\ = 2019\int\frac{3\sec^2(z)}{9\tan^2(z)+9}\,\mathrm dz \\\\ = 673\int\frac{\sec^2(z)}{\tan^2(z)+1}\,\mathrm dz \\\\ = 673\int\frac{\sec^2(z)}{\sec^2(z)}\,\mathrm dz \\\\ = 673\int\mathrm dz \\\\ = 673z+C \\\\ = 673\arctan\left(\frac x3\right)+C$

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$\displaystyle\int\frac{x+2019}{x^2+9}\,\mathrm dx = \boxed{\frac12\ln\left(x^2+9\right) + 673\arctan\left(\frac x3\right) + C}$

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3 years ago

Find the measure of center: 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

marin [14]

Answer:

Mean : 16.75

Median: 15.5

Mode: 13

Step-by-step explanation:

Given/To Find:

Find the measure of center:

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

Solve:

Mean: Average

Formula: Adding all number in data then divide by the total number in data.

9 + 10 + 12 + 13 + 13 + 13 + 15 + 15 + 16 + 16 + 18 + 22 + 23 + 24 + 24 + 25 = 268

268/16 = 16.75

Median: Middle Number

Formula: Number in the middle

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

15 + 16 = 31

31/2 = 15.5

Mode: Most often number: 13

Kavinsky

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3 years ago

Read 2 more answers

What is the length of arc S shown below? The angle in the figure is a central angle in radians.

Taya2010 [7]

Answer:

Step-by-step explanation:

Arc length = r × theta

Arc length = 5 × 0.4

= 2

3 0

4 years ago