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3 years ago

1 2/5 x 3/5 in lowest terms please

Mathematics

1 answer:

shutvik [7]3 years ago

3 0

21/25, and since this fraction cannot be simplified, it is already in it's simplest form.

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When Isaac commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a s

mario62 [17]

Answer:

[34,54]

Step-by-step explanation:

-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.

Where:

68% is the first standard deviation
95% is the second standard deviation about the mean
99.7% is the 3rd standard deviation about the mean.

-Therefore. the middle 95% interval is calculated as:

$CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]$

Hence, the interval is [34,54]

5 0

2 years ago

Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x

valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
$\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)$

Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

4 0

3 years ago

You went out to lunch with three friends and your subtotal was $42 not including the sales tax of 6%.

Lady_Fox [76]

Answer:

It's DEFINITELY 2.52

Step-by-step explanation:

Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!

6 0

2 years ago

2.4 + 5.4q – 4.5q + 3.6 a.6+1.1q b.9.9q+6 c.0.9q+6 d.9.9q-6

Yuri [45]

You have to add the same kind of terms, in this case the ones that have a variable (5.4q and -4.5q) and the ones that don't (2.4 and 3.6), like this:

(5.4q - 4.5q) + (2.4 + 3.6) = 0.9q + 6

The answer is c. 0.9 +6

8 0

2 years ago

Please answer thank you

Alchen [17]

-x - 9 $\geq 5$

You want to get x by itself.

First subtract 9 from both sides of the equation.

-x - 9 $\geq 5$
+9 +9

-x $\geq 14$

Then divide -1 on both sides.

-x/-1 $\geq 14/-1$

I'm pretty sure when you divide a negative number when solving inequalities, you switch the sign.

x $\leq 5$

8 0

2 years ago