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3 years ago

What is an inequality term

Mathematics

1 answer:

Rom4ik [11]3 years ago

5 0

Answer:

Step-by-step explanation:

in math is means either less than, greater than , or equal to

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Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 16 and

meriva

Parameterize the surface (call it $\mathcal S$ ) by

$\mathbf s(u,v)=\langle u\cos v,u\sin v,u^2\sin^2v-u^2\cos^2v\rangle=\langle u\cos v,u\sin v,-u^2\cos2v\rangle$

with $4\le u\le5$ and $0\le v\le2\pi$ , which yields

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

Then the area of $\mathcal S$ is given by the surface integral

$\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=2\pi}\int_{u=4}^{u=5}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv=\dfrac{(101^{3/2}-65^{3/2})\pi}6$

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3 years ago

Math, please help! Picking Brainliest.

arsen [322]

B. They are similar triangles, and so the hypotenuses of the two triangles will be different sizes of the same line.

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3 years ago

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The number of ducks living at the pond increased by 40%

creativ13 [48]

Rest of the problem….

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2 years ago

Which of these taxes helps provide health insurance for people who are retired or disabled?

Mkey [24]

FICA tax, otherwise known as social security

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3 years ago

Both the variance and standard deviation are intended to provide a measure of the variability of a set of data values about

dezoksy [38]

Answer:

Step-by-step explanation:

Hello!

The variance and standard deviation of a distribution are measurements of dispersion. They show the degree of variation of the values of a dataset regarding the mean.

Variance:

The variance is defined as the mean of the squares of the difference between the values of the variable and the mean, symbolically:

V(X)= S²= E(X-X[bar])²=   $\left \ {{n} \atop {i = 1}} \right.$ ∑( $X_i$ -X[bar])² 

Properties:

1. The variance is non-negative:

V(X) ≥ 0

Since it is calculated as the summation of squared values it is not possible for it to be negative.

2. The variance of a constant (k) is zero:

V(k)= E(k-k)²= 0

3. The variance is unaffected by changes in the parameters of position, so if for example, a constant is added to the variable X+k, since it is added to all values of the variable, the variance remains unchanged:

V(X+k)= V(X)

Same happens if a constant is subtracted from the variable:

V(X-k)= V(X)

4. If you multiply the variable X by a constant k, the resulting variance will be the variance of the variable by the square of the constant:

V(X*k)= k² * V(X)

5. If you add or subtract two independent variables, the resulting variance for both cases will be the summation of their variances:

V(X±Y)= V(X)+V(Y)

When you add or subtract two dependent variables, the variance of the resulting variable will be the summation of both variances minus their covariance:

V(X±Y)= V(X)+V(Y)-Cov(XY)

Note: covariance is the measure of joint variability of two random variables.

Standard deviation:

The standard deviation is defined as the square root of the variance. The properties of the variance apply to it too.

This measurement is often chosen over the variance since is easier to express the dispersion of a variable over non-square units or values.

S= √S²

I hope this helps!

6 0

3 years ago