Answer:
1:8
Step-by-step explanation:
2^3 : 4^3
=8:64
=1:8
First, find a least common number for 4 and 6. It is 12.
Then try to change the denominator of the fraction to 12.
3/4=9/12
5/6=10/12
<u>Answer</u>
161.06
<u>Explanation</u>
We can get the area of the shaded part by using the formula;
Area = θ/360 πr²
Where θ ⇒ subtended angle
π = 3.142
r ⇒ radius
First 1.25 radians in to degrees.
π radians= 180°
1.25 radians = (180×1.25)/π
= 71.62°
The angle on the shaded part is 360 - 71.62 = 288.38°
Area = (288.38/360)×π×8²
= 0.8 ×3.142 × 64
= 161.06
Answer:
P(X>4)= 0.624
Step-by-step explanation:
Given that
n = 10
p= 0.5 ,q= 1 - p = 0.5
Two fifth of 10 = 2/5 x 10 =4
It means that we have to find probability P(X>4).
P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)
We know that
![P(X=x)=(_{x}^{n})\ p^xq^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%28_%7Bx%7D%5E%7Bn%7D%29%5C%20p%5Exq%5E%7Bn-x%7D)
![P(X=0)=(_{0}^{10})\ 0.5^0\ 0.5^{10}=0.0009](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%28_%7B0%7D%5E%7B10%7D%29%5C%200.5%5E0%5C%200.5%5E%7B10%7D%3D0.0009)
![P(X=1)=(_{1}^{10})\ 0.5^1\ 0.5^{9}=0.0097](https://tex.z-dn.net/?f=P%28X%3D1%29%3D%28_%7B1%7D%5E%7B10%7D%29%5C%200.5%5E1%5C%200.5%5E%7B9%7D%3D0.0097)
![P(X=2)=(_{2}^{10})\ 0.5^2\ 0.5^{8}=0.043](https://tex.z-dn.net/?f=P%28X%3D2%29%3D%28_%7B2%7D%5E%7B10%7D%29%5C%200.5%5E2%5C%200.5%5E%7B8%7D%3D0.043)
![P(X=4)=(_{4}^{10})\ 0.5^3\ 0.5^{7}=0.205](https://tex.z-dn.net/?f=P%28X%3D4%29%3D%28_%7B4%7D%5E%7B10%7D%29%5C%200.5%5E3%5C%200.5%5E%7B7%7D%3D0.205)
P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)
P(X>4)= 1 -0.0009 - 0.0097 - 0.043 - 0.117-0.205
P(X>4)= 0.624
Answer:
Step-by-step explanation:
Sorry what?