Translate the following arguments into symbolic form.If national elections deteriorate into TV popularity contests, then smooth-talking morons will get elected. Therefore, if national elections do not deteriorate into TV popularity contests, then smooth-talking morons will not get elected. (N = National elections deteriorate into TV popularity contests, S = Smooth-talking morons will get elected)

Answer:

Step-by-step explanation:

Parallel ⇒ So the slopes will definitely be equal

So,

Slope = m = 5

Now,

Point = (x,y) = (4,5)

So, x = 4, y = 5

Putting these in the slope intercept form to get b

5 = (5)(4) + b

5 = 20 + b

b = -20+5

b = -15

So, Putting m and b in the slope intercept form to get the required equation,

Answer:

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

The probability that at least two people will be displeased in a random sample of 25 people is approximately 0.202.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem can be solved using the binomialdistribution since we have a fixed number of trials (selecting 25 people) and each trial has two possible outcomes (displeased or not displeased).

Let p be the probability of an individual being displeased, which is given as 0.045 (or 4.5% as a decimal).

Then, the probability of an individual not being displeased is:

1 - p = 0.955.

Let X be the number of displeasedpeople in a random sample of 25.

We want to find the probability that at least two people are displeased, which can be expressed as:

P(X ≥ 2) = 1 - P(X < 2)

To calculate P(X < 2), we can use the binomial distribution formula:

where n is the samplesize (25), k is the number of displeasedpeople, and (n choose k) is the binomial coefficient which represents the number of ways to choose k items from a set of n items.

For k = 0, we have:

≈ 0.378

For k = 1, we have:

≈ 0.42

Therefore,

P(X < 2) = P(X = 0) + P(X = 1) ≈ 0.798.

Finally, we can calculate,

P(X ≥ 2) = 1 - P(X < 2)

= 1 - 0.798

= 0.202.

Thus,

The probability that at least two people will be displeased in a random sample of 25 people is approximately 0.202.

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Answer:

Step-by-step explanation:

The correct answer is (B).

Let X = the number of people that are displeased in a random sample of 25 people selected from a population of which 4.5% will be displeased regardless of the situation. Then X is a binomial random variable with n = 25 and p = 0.045.

P(X ≥ 2) = 1 – P(X ≤ 1) = 1 – binomcdf(n: 25, p: 0.045, x-value: 1) = 0.311.

P(X ≥ 2) = 1 – [P(X = 0) + P(X = 1)] = 1 – 0C25(0.045)0(1 – 0.045)25 – 25C1(0.045)1(1 – 0.045)24 = 0.311.

Based on the use of Benford's law, only B and E can be included in the solution set out of all the given values.

What is seen as Benford's Law?

Benford's Law, also known as the first-digit law, posits that the initial digits in a set of data are more likely to be smaller.

One must ascertain whether the provided values adhere to the criteria set by Benford's Law. Values like 0.5, 2.5, and 3.5 are excluded from the solution set as they do not satisfy the requirement for a whole number as the first digit.

Considering  B and E, a closer examination of the graph is necessary. From the visual representation,  Consequently, only the values B and Eare eligible to be part of the solution set.

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See full text below

Which values are included in the solution set? Select all that apply.

A set of numbers satisfies Benford’s Law if the probability of a number starting with digit d is P(d) = log(d + 1) – log(d).

On a coordinate plane, a dotted line is at y = 0.08. Everything above the line is shaded and is labeled y greater-than 0.08. A dotted line curve goes through (0.5, 0.7) and (4, 0.1). Everything below the line is shaded and is labeled y greater-than log (x + 1) minus log x.

The probability of a particular digit is more than 8%. The graph represents the situation.

Which values are included in the solution set? Check all that apply.

0.5

1

2.5

3.5

4

5

Answer:

Option B. 1 and Option E. 4

Step-by-step explanation:

Answer:

17........ hope its helpful

Step-by-step explanation:

⇒2x+2y=14⇒2x+2y=14 or x+y=17x+y=17