MATHEMATICS COLLEGE

Give the domain and range of the relation (1, -8),(-7, 8),(-3,7),(-3,-5)

Answers

Answer 1

Answer:

Answer:

Domain = {-3, 1, -7}

Range = {-8, 8, 7, -5}

Step-by-step explanation:

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What is a3 if an=64(12)n−1

Answers

Answer:

$\huge\boxed{a_3=9,216}$

Step-by-step explanation:

$a_n=64(12)^(n-1)\n\n\text{substitute}\ n=3:\n\na_3=64(12)^(3-1)=64(12)^2=64(144)=9,216$

What is the area in square units of the figure shown below??help asap!don't share links or anything pleasee

Answers

Answer:

area equals 36 and 3 fourths because if you cut the triangle off of one of the sides and add it to the other side it makes a rectangle then you do length times width to find regular area of a rectangle.

For a certain breed of dog, suppose the offspring of a black dog is black with probability 0.6 and brown with probability 0.4. Also for this breed, suppose the offspring of a brown dog is black with probability 0.2 and brown with probability 0.8. If Rex is a brown dog of this breed, what is the probability that his grand-pup will be black?

Answers

Answer:

0.28

Step-by-step explanation:

For a certain breed of dog,

OFFSPRING OF A BLACK DOG:

Is black = 0.6 Is brown = 0.4

OFFSPRING OF A BROWN DOG:

Is black = 0.2 Is brown = 0.8

If REX is a brown dog of this breed, what is the probability that his grand puppy will be black?

The probability that his grand pup will be black = Probability that his black pups produce black pups + the probability that his brown pups produce black pups.

The probability that his black pups produce black pups:

0.2 × 0.6 = 0.12

The probability that his brown pups produce black pups:

0.8 × 0.2 = 0.16

The probability that his grand pup will be black = 0.12 + 0.16 = 0.28

Final answer:

The probability that the grand-pup of a brown dog (like Rex) will be black is calculated by multiplying the probability that a brown dog will produce a black offspring (0.2) by the probability that a black dog will produce a black offspring (0.6). This results in a probability of 0.12, or 12%.

Explanation:

In this problem, you're looking at the probability of a twice-removed descendent (a grand-pup) being a certain color, given the starting color of the ancestor (Rex). Since the color of the offspring is dependent on the color of the parent, this is a conditional probability problem.

The probability that the offspring of a brown dog will be black is 0.2. If that dog is black, the probability of its own offspring being black is 0.6. So, you multiply those probabilities together to find the probability that a brown dog will have a black grandpup, which is 0.2 * 0.6 = 0.12, or 12%. Therefore, the probability that Rex's grandpup will be black is 12%.