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Grace [21]
2 years ago
14

Let p, q, and r be the propositions p: You get an A on the final exam. q: You do every exercise in this book. r: You get an A in

this class. Write these propositions using p, q, and r and logical connectives (including negations).
a) You get an A in this class, but you do not do every exercise in this book.
b) You get an A on the final, you do every exercise in this book, and you get an A in this class.
c) To get an A in this class, it is necessary for you to get an A on the final.
d) You get an A on the final, but you don’t do every exercise in this book; nevertheless, you get an A in this class.
e) Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class.
f ) You will get an A in this class if and only if you either do every exercise in this book or you get an A on t
Mathematics
1 answer:
babunello [35]2 years ago
6 0

Answer:

a) r ^ ¬q

b) p ^ꓥqꓥ^ r

c) r → p

d) p ^ ¬qꓥ^ r

e) (p ^ q) → r

f) r ↔ (q v p)

Step-by-step explanation:

 

 

ꓥ^ = AND Conjunction

vꓦ = OR disjunction

¬ = NOT Negation

↔ = Double Implication

→ = implication

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Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the
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<h3>It costs $ 22.5 for mike and his friend to rent paddle board for 3 hours</h3><h3>Mike has $ 2.5 remaining after rental</h3>

<em><u>Solution:</u></em>

Given that,

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours

Each paddleboard rental costs $3.75 per hour

So there are two persons = mike and his friend

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Therefore, for 3 hours:

3 \times 3.75 = 11.25

<em><u>Thus for two person:</u></em>

11.25 + 11.25 = 22.5

Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours

Remaining amount = 25 - 22.5 = 2.5

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2 years ago
Robert earns $300 each week. What equation shows the relationship between salary per week (s), number of weeks worked (w), and t
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The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Use the central limi
Mila [183]

Answer:

0.048 is the probability that more than 950 message arrive in one minute.

Step-by-step explanation:

We are given the following information in the question:

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.

Let X be the number of messages arriving at a multiplexer.

Mean = 15

For poison distribution,

Mean = Variance = 15

\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872

From central limit theorem, we have:

z = \displaystyle\frac{x-n\mu}{\sigma\sqrt{n}}

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P(x > 950)

P( x > 950) = P( z > \displaystyle\frac{950 - (60)(15)}{\sqrt{(15)(60)}}) = P(z > 1.667)

= 1 - P(z \leq 1.667)

Calculation the value from standard normal z table, we have,  

P(x > 950) = 1 - 0.952 = 0.048

0.048 is the probability that more than 950 message arrive in one minute.

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