Answer:
24.5
Step-by-step explanation:
please give me brainliest
Answer:
So the correct option is First one
i.e ![\dfrac{9\pi}{A}=\dfrac{90}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Cpi%7D%7BA%7D%3D%5Cdfrac%7B90%7D%7B360%7D)
Step-by-step explanation:
Given:
Area of Shaded part = 9 π square feet
To Find :
Area of Circle = ?
Solution:
90 degree center angle is equivalent to an area of 9 Π square feet
So, 360 degree center is equivalent to area A which is the area of the complete circle.
So the Ratio will be
Setting the given statements in proportion:
![\dfrac{90}{9\pi} =\dfrac{360}{A}](https://tex.z-dn.net/?f=%5Cdfrac%7B90%7D%7B9%5Cpi%7D%20%3D%5Cdfrac%7B360%7D%7BA%7D)
On solving we get the required
![\dfrac{9\pi}{A} =\dfrac{90}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Cpi%7D%7BA%7D%20%3D%5Cdfrac%7B90%7D%7B360%7D)
So the correct option is First one
i.e ![\dfrac{9\pi}{A}=\dfrac{90}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Cpi%7D%7BA%7D%3D%5Cdfrac%7B90%7D%7B360%7D)
Alternate Method:
Shaded part is of 90°
Area of Shaded part = 9 π square feet
And Full Circle is of 360° that is 4 sector of 90°
![\textrm{Area of Circle}=4\times (Shaded\ part)](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20Circle%7D%3D4%5Ctimes%20%28Shaded%5C%20part%29)
![\textrm{Area of Circle}=4\times 9\pi](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20Circle%7D%3D4%5Ctimes%209%5Cpi)
![\textrm{Area of Circle}=36\pi](https://tex.z-dn.net/?f=%5Ctextrm%7BArea%20of%20Circle%7D%3D36%5Cpi)
So the correct option is First one
i.e ![\dfrac{9\pi}{A}=\dfrac{90}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%5Cpi%7D%7BA%7D%3D%5Cdfrac%7B90%7D%7B360%7D)
On solving this we get
![A=36\pi\ feet^{2}](https://tex.z-dn.net/?f=A%3D36%5Cpi%5C%20feet%5E%7B2%7D)
Answer:
(a)
and
are indeed mutually-exclusive.
(b)
, whereas
.
(c)
.
(d)
, whereas ![P(A_1 \; |\; B) = \displaystyle \frac{4}{9}](https://tex.z-dn.net/?f=P%28A_1%20%5C%3B%20%7C%5C%3B%20B%29%20%3D%20%5Cdisplaystyle%20%5Cfrac%7B4%7D%7B9%7D)
Step-by-step explanation:
<h3>(a)</h3>
means that it is impossible for events
and
to happen at the same time. Therefore, event
and
are mutually-exclusive.
<h3>(b)</h3>
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
<h3>(c)</h3>
Note that:
.
In other words,
and
are collectively-exhaustive. Since
and
are collectively-exhaustive and mutually-exclusive at the same time:
.
<h3>(d)</h3>
By Bayes' Theorem:
.
Similarly:
.
Come, sphere, and I’m not sure what else
Find the expected value of each case
<span>1 comes up ---> 1/6 (-10) = -10/6 </span>
<span>3 comes up ---> 1/6 (-30) = -30/6 </span>
<span>5 comes up ---> 1/6 (-50) = -50/6 </span>
<span>2 comes up ---> 1/6 (10) = 10/6 </span>
<span>4 comes up ---> 1/6 (20) = 20/6 </span>
<span>6 comes up ---> 1/6 (30) = 30/6 </span>
<span>sum = 1/6 (-10 -30 -50 +10 +20 +30) = -30/6 = -5 </span>