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Liono4ka [1.6K]
2 years ago
5

Hurry I’ll give you 20pts

Mathematics
1 answer:
zaharov [31]2 years ago
8 0
I think it’s c, it’s not a relation due to the -1 repetition
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Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the
8_murik_8 [283]

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

7 0
3 years ago
Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t
harina [27]

Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

\frac{x}{42.56}=\frac{x+10}{72.96}

by cross multiply we get;

72.96x = 42.56(x+10)

using distributive property;a\cdot (b+c) =a\cdot b + a\cdot c

72.96x = 42.56x+425.6

Subtract 42.56x from both sides we get;

30.4x =425.6

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons


5 0
2 years ago
Read 2 more answers
Write ✓-3 in simplest radical form.
olga nikolaevna [1]

Step-by-step explanation:

In simplest radical form

= √-3

= -3^(1/2)

or

= √-3

= √3i

i is imaginary number, you can write it if you find a negative number in a square root

7 0
2 years ago
Find the terminal point on the unit circle determined by pi over 4 radians
Pavlova-9 [17]
Pi/4 radians = 45 degrees
The terminal point is
((Sqrt2)/2 , (sqrt2)/2)
3 0
3 years ago
If an airplane passes directly over your head at an altitude of 12 kilometers, how far is the airplane from your position after
rewona [7]

Answer:

20 km

Step-by-step explanation:

We will imagine a triangle. The hypotenuse of the triangle is the distance between you and the plane. 16 kilometres is the aerial space between you two, in other words its the base of the triangle. 12 km is the length of the third leg of the triangle. We will apply the pythagorean theorem to find the length of the hypotenuse and the distance between you and the plane.

a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root of 400 is c which equals 20 km.

8 0
2 years ago
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