Answer:
in degree 11.54
in radians 0.20
Step-by-step explanation:
soh= o/h
sin(y)=4/20
y=sin^-1(4/20)
Answer:
X=1
Step-by-step explanation:
Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).
Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)
Snorkel, mask, and flippers Slope intercept form: y = 2x + 10
Answer:
![z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B0.872-0.917%7D%7B%5Cfrac%7B0.303%7D%7B%5Csqrt%7B37%7D%7D%7D%3D%20-0.903)
And we can find this probability to find the answer:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C-0.903%29)
And using the normal standar table or excel we got:
![P(z](https://tex.z-dn.net/?f=%20%20P%28z%3C-0.903%29%3D0.1833%20)
Step-by-step explanation:
Let X the random variable that represent the amounts of nocatine of a population, and for this case we know the distribution for X is given by:
Where
and
We have the following info from a sample of n =37:
the sample mean
And we want to find the following probability:
![P(\bar X \leq 0.872)](https://tex.z-dn.net/?f=%20P%28%5Cbar%20X%20%5Cleq%200.872%29)
And we can use the z score formula given by;
![z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
And if we find the z score for the value of 0.872 we got:
![z = \frac{0.872-0.917}{\frac{0.303}{\sqrt{37}}}= -0.903](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B0.872-0.917%7D%7B%5Cfrac%7B0.303%7D%7B%5Csqrt%7B37%7D%7D%7D%3D%20-0.903)
And we can find this probability to find the answer:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C-0.903%29)
And using the normal standar table or excel we got:
![P(z](https://tex.z-dn.net/?f=%20%20P%28z%3C-0.903%29%3D0.1833%20)
1.
- Cone
2.
- Sphere
3.
- Cylinder
4.
- Pyramid
5.
- Prism
Solution:
1. ![L \cdot A=\pi r l](https://tex.z-dn.net/?f=L%20%5Ccdot%20A%3D%5Cpi%20r%20l)
Lateral surface area of cone = ![\pi r l](https://tex.z-dn.net/?f=%5Cpi%20r%20l)
where r is the radius of the cone and l is the slant height of the cone.
2. ![V=\frac{4}{3} \pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
Volume of sphere = ![\frac{4}{3} \pi r^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
where r is the radius of the sphere.
3. ![T \cdot A=2 \pi r h+2 \pi r^{2}](https://tex.z-dn.net/?f=T%20%5Ccdot%20A%3D2%20%5Cpi%20r%20h%2B2%20%5Cpi%20r%5E%7B2%7D)
Total surface area of cylinder = ![2 \pi r h+2 \pi r^{2}](https://tex.z-dn.net/?f=2%20%5Cpi%20r%20h%2B2%20%5Cpi%20r%5E%7B2%7D)
where r is the radius of the cylinder and h is the height of the cylinder.
4. ![V=\frac{1}{3} B h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20B%20h)
Volume of pyramid = ![\frac{1}{3} B h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20B%20h)
where B is the base area of the pyramid and h is the height of the pyramid.
5. ![L . A=p h](https://tex.z-dn.net/?f=L%20.%20A%3Dp%20h)
Lateral surface area of prism = ![p h](https://tex.z-dn.net/?f=p%20h)
where p is the perimeter of the base and h is the height of the prism.
Answer:
4x + y =6
Step-by-step explanation:
Line 8x + 2y = 12 is parallel to the line 4x + y = 6.