MATHEMATICS COLLEGE

Which product is positive?
Which product is positive? - 1

Answers

Answer 1
Answer:

Option D:

\left(-(2)/(5)\right)\left(-(8)/(9)\right)\left((1)/(3)\right)\left((2)/(7)\right) is positive product.

Solution:

Some basic rules of product:

If the negative sign is in even number of times then the product is positive.

If the negative sign is in odd number of times then the product is negative.

To find which product is positive:

Option A:

$\left((2)/(5)\right)\left(-(8)/(9)\right)\left(-(1)/(3)\right)\left(-(2)/(7)\right)

Here, number of negative signs = 3 which is odd

So, the product is negative.

Option B:

$\left(-(2)/(5)\right)\left((8)/(9)\right)\left(-(1)/(3)\right)\left(-(2)/(7)\right)

Here, number of negative signs = 3 which is odd

So, the product is negative.

Option C:

$\left((2)/(5)\right)\left((8)/(9)\right)\left((1)/(3)\right)\left(-(2)/(7)\right)

Here, number of negative sign = 1 which is odd

So, the product is negative.

Option D:

$\left(-(2)/(5)\right)\left(-(8)/(9)\right)\left((1)/(3)\right)\left((2)/(7)\right)

Here, number of negative sign = 2 which is even

So, the product is positive.

Hence option D is the correct answer.

\left(-(2)/(5)\right)\left(-(8)/(9)\right)\left((1)/(3)\right)\left((2)/(7)\right) is positive product.
Answer 2
Answer:

Answer:d’s right

Step-by-step explanation:

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Julio is planning activities for a trip that lasts from Thursday to Sunday. He is interested in visiting a museum, hiking the trails, attending the food festival, riding a jet ski, exploring a famous park, or going shopping. each activity takes a full day, and he will not do any activity twice. Julio wants to either visit a museum or explore the park on Thursday, and he is definitely attending the food festival on Saturday. How many different ways can he plan activities for his trip?A)24
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Answers

Thursday: 2 choices {museum, park}

Friday: 4 choices {shopping, jet ski, hiking, and the choice not chosen for Thu}

Saturday: 1 choice {food}

Sunday: 3 choices {the remaining 3 after Friday's choice}

The total number of ways these choices can be arranged is 2×4×1×3 = 24

The apprpropriate selection is A) 24.

We play a card game where we receive 13 cards at the beginning out of the deck of 52. we play 50 games one evening. for each of the the following random variable identify the name and parameters of the distribution: a) The number of aces I get in the first game b) The number of games in which I recieve at least one ace during the evening c) The number of games in which all my cards are from the same suit d) The number of spades I receive in 5th game

Answers

The answer & explanation for this question is given in the attachment below.

Final answer:

The number of aces in the first game and the number of spades in the 5th game follow a Hypergeometric Distribution while the number of games receiving at least one ace can be modeled by a Binomial distribution. The event of all cards being from the same suit can be thought of as a Uniform distribution.

Explanation:

a) The number of aces you get in the first game follows a Hypergeometric Distribution. In such a distribution, you are drawing cards without replacement. The parameters are N=52 (the population size), K=4 (the number of success states in the population i.e., the number of aces in a deck), and n=13 (the number of draws).

b) The number of games in which you receive at least one ace can be modeled by a Binomial distribution. Each game you play (out of 50) is a single trial, with the probability of success (getting at least one ace) being the same for every trial. The parameters are n=50 (the number of trials/games) and p (the probability of getting at least one ace).

c) The likelihood of all your cards being from the same suit in a game is heavily reliant on chance, can be modeled as a Uniform distribution given its rare occurrence. Essentially, the parameters would be minimum = 0 and maximum = 1. However, determining the parameters would require calculation of the specific probabilities, which is complex due to the nature of the game.

d) The number of spades you receive in the 5th game also follows a Hypergeometric distribution, similar to the situation in the first game. The parameters in this case are N=52, K=13 (number of spades in a deck), and n=13 (the number of drawn cards).

Learn more about Statistical Distributions here:

brainly.com/question/31861365

#SPJ3

For what values of a does the equation ax^2+x+4=0 have only one real solution?

Answers

Answer:

1/16

Step-by-step explanation:

To have one real solution, the discriminant must be 0.

b² − 4ac = 0

1² − 4a(4) = 0

1 − 16a = 0

a = 1/16

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

sorry for my bad handwriting

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Answers

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