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3 years ago

Given that ∫61f(x)dx=1,∫63f(x)dx=6 and ∫71f(x)dx=7 find ∫73f(x)dx.

1 answer:

8 0

∫f(6)-∫f(1) = 1, ∫f(6)-∫f(3)=6, and ∫f(7)-∫f(1)=7. Changing around the first and third equation, we can get ∫f(1)=∫f(6)-1, and ∫f(1)=∫f(7)-7. Then we get that ∫f(6)-1=∫f(7)-7, and that ∫f(6)=∫f(7)-6. Then plug into the second equation, to get ∫f(7)-6-∫f(3)=6 or ∫f(7)-∫f(3)=12. So ∫73f(x)dx = 12.

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3 years ago

28,18,8,-2 is this arithmetic ?

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Answer:

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3 years ago

Variance is: Multiple Choice the average squared deviations about the mean of a distribution of values. an empirically testable

DENIUS [597]

Multiple choice answers are clearly defined as below for clarity:

A. the average squared deviations about the mean of a distribution of values.

B. an empirically testable statement that is an unproven supposition developed in order to explain certain phenomena.

C. the error made by rejecting the null hypothesis when it is true.

D. a statement that asserts the status quo; that is, any change from what has been thought to be true is due to random sampling order.

E. a statement that is the opposite of the null hypothesis

Answer:

A. The average squared deviations about the mean of a distribution of values.

Explanation:

A. the average squared deviations about the mean of a distribution of values. Correct

Standard deviation is how data is distributed around the mean. It is also the square root of the Variance. Therefore, the variance is the square of the standard deviation which is distributed around the mean.

B. an empirically testable statement that is an unproven supposition developed in order to explain certain phenomena. Incorrect

This is false as this is rather the definition for hypothesis.

C. the error made by rejecting the null hypothesis when it is true. Incorrect

This is false as this is the definition for the probability of committing a type I error

D. a statement that asserts the status quo; that is, any change from what has been thought to be true is due to random sampling order. Incorrect

This is false as this defines what a null hypothesis is.

E. a statement that is the opposite of the null hypothesis. Incorrect

The opposite of the null hypothesis is alternative hypothesis.

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2 years ago

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Answer:

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3 years ago

(8y²)(-3x²y²)(2/3xy⁴) HELP PLEASEEEEEEEE

IRINA_888 [86]

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

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2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

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3 Take out the constants.

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4 Simplify 8\times -38×−3 to -24−24.

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5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

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6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

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\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

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7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

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\frac{-48{y}^{8}{x}^{3}}{3}

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10 Move the negative sign to the left.

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11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

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Done

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2 years ago