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Yakvenalex [24]
2 years ago
11

A system of equations is shown below.

Mathematics
1 answer:
sertanlavr [38]2 years ago
8 0
3x+2(x+1)=12
3x+2x+2=12
5x+2=12
5x=12-2
5x=10
x=10/5
x=2
Put x=2 in eq 2
Y=2+1
Y=3
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You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a
Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)} , we get

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

P(B|Head) = 0.6 \times \frac{0.5}{0.35}

P(B|Head) = 0.857

Similarly.

P(A|Head) = 0.857

Hence, the probability that our guess is correct = 0.857.

7 0
3 years ago
35 miles per hour to feet per minute
guapka [62]
35 miles is equal to 35*5280, which is 184,800.
Now we know that it takes one hour to travel 184,800.
The next step is to divide 184,800 by 60, which is 3,080.
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3 years ago
Is y=8200(1.19)x a growth or decay and what is the percentage
Bad White [126]

Answer:

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Step-by-step explanation:

It is positive and the percentage is 1.19 with the decimal moved 2 places to to the right.

6 0
3 years ago
Read 2 more answers
$#4 find the value of x. Round answer to nearest tenth please
Sonja [21]

Answer:

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Step-by-step explanation:

sin 59 = opposite/hypotenuse

opposite is x, the dimension facing the angle 59

hypotenuse is the longest side = 15

sin 59 = x/15

x = 15sin59 = 15 x 0.8572 =12.858 = 12.9 in the nearest tenth

3 0
2 years ago
44 prime factorization
il63 [147K]

Answer:

2 * 2 * 11

Step-by-step explanation:

Find the set of prime numbers that, when multiplied together, give 44.

:)

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