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3 years ago

Fill in the blanks with a positive or negative Integer

Mathematics

1 answer:

Leviafan [203]3 years ago

3 0

Answer:

Step-by-step explanation:

1) - 24

2) -33

3) + 17

4) -33

5) +17

Hope that helps!

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A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling pr

kolbaska11 [484]

Answer:

A.0.39 grams

margin of error at 90% confidence intervals is

M.E = 0.39 grams

Step-by-step explanation:

Explanation:-

Given a sample of size n = 25

mean of the sample x⁻ = 15 grams

Standard deviation of the sample 'S' = 1.5 grams

margin of error at 90% confidence intervals is determined by

$Margin error = \frac{t_{0.90} S.D}{\sqrt{n} }$

The degrees of freedom ν = n-1 = 25-1 =24

The tabulated value t₀.₉₀ = 1.318

$Margin error = \frac{1.318X 1.5}{\sqrt{25} }$

Margin of error = 0.3954

Conclusion:-

Margin of error at 90% confidence intervals = 0.3954

4 0

4 years ago

in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)

Nimfa-mama [501]

Answer:

The component of $\vec u$ orthogonal to $\vec a$ is $\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$ .

Step-by-step explanation:

Let $\vec u$ and $\vec a$ , from Linear Algebra we get that component of $\vec u$ parallel to $\vec a$ by using this formula:

$\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a$ (Eq. 1)

Where $\|\vec a\|$ is the norm of $\vec a$ , which is equal to $\|\vec a\| = \sqrt{\vec a\bullet \vec a}$ . (Eq. 2)

If we know that $\vec u =(2,1,1,2)$ and $\vec a=(4,-4,2,-2)$ , then we get that vector component of $\vec u$ parallel to $\vec a$ is:

$\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)$

$\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)$

$\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$

Lastly, we find the vector component of $\vec u$ orthogonal to $\vec a$ by applying this vector sum identity:

$\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}$ (Eq. 3)

If we get that $\vec u =(2,1,1,2)$ and $\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$ , the vector component of $\vec u$ is:

$\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$

$\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$

The component of $\vec u$ orthogonal to $\vec a$ is $\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$ .

4 0

3 years ago

A boat has a speed of 9 mph in calm water. It takes the boat 4 hours to travel upstream but only 2 hours to travel the same dist

Dmitrij [34]

D=4(9-c) and d=2(9+c)

d=36-4c and d=18+2c

Since d=d

18+2c=36-4c add 4c to both sides

18+6c=36 subtract 18 from both sides

6c=18 divide both sides by 6

c=3

So the speed of the current is 3mph

3 0

3 years ago

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Plzz help!!!! if 200 meters to the next freeway exit how far away is the exit in yards?

kifflom [539]

218.723 yards I'm pretty sure that's what it is

6 0

3 years ago

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Use a surface integral to find the general formula for the surface area of a cone with height latex: h and base radius latex: a(

BlackZzzverrR [31]

We can parameterize this part of a cone by

$\mathbf s(u,v)=\left\langle u\cos v,u\sin v,\dfrac hau\right\rangle$

with $0\le u\le a$ and $0\le v\le2\pi$ . Then

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

The area of this surface (call it $\mathcal S$ ) is then

$\displaystyle\iint_{\mathcal S}\mathrm dS=\sqrt{1+\frac{h^2}{a^2}}\int_{v=0}^{v=2\pi}\int_{u=0}^{u=a}u\,\mathrm du\,\mathrm dv=a^2\sqrt{1+\frac{h^2}{a^2}}\pi=a\sqrt{a^2+h^2}\pi$

6 0

3 years ago