The real distance fro the shop to the store is 24 km
<em><u>Solution:</u></em>
Given that, Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeter
Scale of the map is 1 centimeter to 8 kilometers
Therefore, scale is:
![1\ centimeter : 8\ kilometer](https://tex.z-dn.net/?f=1%5C%20centimeter%20%3A%208%5C%20kilometer)
Let "x" be the real distance from the shop to the store
Then by proportion, we get,
![\frac{1\ centimeter}{8\ kilometer} = \frac{3\ centimeter}{x\ kilometer}\\\\\frac{1}{8} = \frac{3}{x}\\\\x = 3 \times 8\\\\x = 24](https://tex.z-dn.net/?f=%5Cfrac%7B1%5C%20centimeter%7D%7B8%5C%20kilometer%7D%20%3D%20%5Cfrac%7B3%5C%20centimeter%7D%7Bx%5C%20kilometer%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B8%7D%20%3D%20%5Cfrac%7B3%7D%7Bx%7D%5C%5C%5C%5Cx%20%3D%203%20%5Ctimes%208%5C%5C%5C%5Cx%20%3D%2024)
Thus real distance fro the shop to the store is 24 km
<u>Answer:</u>
The correct answer option is C. S = 54.6°.
<u>Step-by-step explanation:</u>
We are given a right angled triangle with two known sides,
and
.
We are to find the value of the angle
.
For that, we will use sine.
![sin S = \frac { s } { t }](https://tex.z-dn.net/?f=%20sin%20S%20%3D%20%5Cfrac%20%7B%20s%20%7D%20%7B%20t%20%7D%20)
![sin S = \frac { 3 1 . 4 } { 3 8 . 5 }](https://tex.z-dn.net/?f=%20sin%20S%20%3D%20%5Cfrac%20%7B%203%201%20.%204%20%7D%20%7B%203%208%20.%205%20%7D%20)
![S = sin'0.815](https://tex.z-dn.net/?f=%20S%20%3D%20sin%270.815%20)
S = 54.6°
The equation
in standard form looks like
.
Given equation of sphere be
.
We are required to express the given equation in the standard form of the equation of sphere.
Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like
.
The given equation is
.
We have to break 22 which is in right side into various parts according to the left side of the equation.
![x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2Bz%5E%7B2%7D%20%2B2x-4y-6z%3D-1-4-9%2B36)
![x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2Bz%5E%7B2%7D%20%2B2x-4y-6z%2B1%2B4%2B9%3D36)
![x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B1%2B2x%2By%5E%7B2%7D%2B4-4y%2Bz%5E%7B2%7D%20%2B9-6z%3D36)
![x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%281%29%5E%7B2%7D%20%2B2%2A1%2Ax%2By%5E%7B2%7D%20%2B%282%29%5E%7B2%7D%20-2%2A2y%2Bz%5E%7B2%7D%20%2B%283%29%5E%7B2%7D%20-2%2A3z%3D36)
![(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}](https://tex.z-dn.net/?f=%28x%2B1%29%5E%7B2%7D%20%2B%28y-2%29%5E%7B2%7D%20%2B%28z-3%29%5E%7B2%7D%20%3D%286%29%5E%7B2%7D)
Hence the equation
in standard form looks like
.
Learn more about equations at brainly.com/question/2972832
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Answer:
0.0064
0.00032
Step-by-step explanation:
Given the details:
P(X > 3), n = 5, p = 0.2
The binomial distribution is related using the formula:
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 1 - 0.2 = 0.8
P(X > 3) = p(x = 4) + p(x = 5)
P(x = 4) = 5C4 * 0.2^4 * 0.8^1 = 5 * 0.2^4 * 0.8^1 = 0.0064
P(x = 5) = 5C5 * 0.2^5 * 0.8^0 = 1 * 0.2^5 * 0.8^0 = 0.00032
X+46.9=61.5
-46.9 -46.9
------------------------
x=14.6