Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Answer: 44 bowls
Step-by-step explanation:
94.6 divided by 2.15 = 44 bowls of soup
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Answer:
13 units
Step-by-step explanation:
(x₁,y₁) = (-5 , 3) & (x₂ , y₂) = (7 ,8)
![= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%287-%5B-5%5D%29%5E%7B2%7D%2B%288-3%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%20%5Csqrt%7B%287%2B5%29%5E%7B2%7D%2B%288-3%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%20%20%5Csqrt%7B%2812%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B144%2B25%7D%5C%5C%5C%5C%3D%5Csqrt%7B169%7D%5C%5C%5C%5C%3D%2013)
It's all right there in front of you.
-- The formula for volume is
Volume = (one dimension) x (another dimension) x (the last dimension)
-- The dimensions are (4), (n + 2), and (n + 5).
-- The volume is 280 .
Just multiply the 3 dimensions together, then say " = 280 ",
and solve the equation you have for 'n' .
Hint:
(4) x (n + 2) x (n + 5) =
(4) x (n² + 7n + 10) =
<u>4n² + 28n + 40 = 280
</u>Take it from there. Find 'n' .<u>
</u>
Hi, the area of a rectangle is: A = L * W.
Question 1:
Area of surface of the swimming pool is: 1000 * 100, or 100,000 square feet.
Question 2:
Volume of a rectangular box is: V = L * W * H.
Volume of the swimming pool is: V = 1000 * 100 * 10, or 1,000,000 cubic feet.
Question 3:
Question 1 in powers of 10 is: 105
Question 2 in powers of 10 is: 106
