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victus00 [196]
2 years ago
10

Translate the given statement into propositional logic using proposition provided :

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
6 0

Answer: m ⇒ e ∨ p

Step-by-step explanation:

First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.  

  • In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:

⇒ = " only if"

∨ = "or"

  • Convert the phrases into variables where:

m = " You can see the movie"

e = "You are over 18 years old"

p = " you have the permission of a parent"

  • Construct the statement sequentially.

You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)

  • Remove the phrases and you'll have your answer:

m ⇒ e ∨ p

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The answer is A!
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43/5-4x2+3/10
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2 years ago
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Thrice the product of two and "Y".
love history [14]

Answer:

6Y

Step-by-step explanation:

We need to solve the statement ' Thrice the product of two and "Y" '.

Thrice means 3 times and product means multiply. It means we have to multiply 3,2 and Y.

Let the result is R. It can be calculated as follows :

R=3\times 2\times Y

We know that, 3×2 = 6

So,

R=6Y

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3 years ago
News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c
OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

p=X/n=258/311=0.83

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

p=X/n=294/363=0.81

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0

4) The pooled estimate of a proportion is the average of both proportions:

\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82

5) The standard error can be calculated as:

s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03

6) The z-statistic can be calculated as:

z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

2P(Z>|z|)=0.50286

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

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355,000 would be the right answer. the 6 behind the 4 is the factor true. like if it was a 4 it would be 354,000
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