All categories

2 years ago

A ______ has numbered statements and corresponding reasons that shows an argument in a logic order.

1 answer:

3 0

A <u>logical argument</u> has numbered statements and corresponding reasons that shows an argument in a logic order.

Step-by-step explanation:

Logical argument refers to the process of providing structured statements along with logical reasons to bring the argument to a conclusive end. The successive statements are logically related and this is the distinguishing factor which distinguishes a logical argument from another structured argument.

A logical argument is often thought of as a scientific manner of presenting any argument. It consists of three subparts. These include—

Proposition- Here the argument is initiated. It can be considered equivalent to a hypothesis.
Premise- This includes evidence that is presented in support of the proposition.
Inference- This refers to the conclusion part.

You might be interested in

A system of linear equations contains two equations with negative reciprocal slopes. How many solutions will it have?

Yanka [14]

Answer:

1 solution

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

3. triangle abc has angle measures as shown (look at image).

mart [117]

Answer:

x = 6, ∠B = 50°

Step-by-step explanation:

a) 8x + 2 + 70 + 60 = 180

8x + 132 = 180

8x = 180 - 132 = 48

x = 48/8 = 6

b) ∠B = 180 - 70 - 60 = 50°

or 8x + 2 = 8*6 + 2 = 50°

3 0

2 years ago

Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that

Mekhanik [1.2K]

Answer:

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

$np \geq 10$ and $n(1-p) \geq 10$

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Out of 124 software users

This means that $n = 124$

Assume the probability that a given software user will call technical support is 97%.

This means that $p = 0.97$

Conditions:

$np = 124*0.97 = 120.28 \geq 10$

$n(1-p) = 124*0.03 = 3.72 < 10$

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0$

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0

3 years ago

The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 44 cm, find its area.

adell [148]

Length: w+4
Width:w
Perimeter:44
Area: L times w
P=44
44=2(w)+2(w+4)
44=2w+2w+8
44=4w+8
36=4w
w=9
L=w+4
L=9+4
L=13
Area should equal 117 cm squared

5 0

3 years ago

Mary drew a scale drawing of a campsite. The tent, which is 12 feet long in real life, is 4 inches long in the drawing. What is

Schach [20]

Answer:

1/36

Step-by-step explanation:

4*36=144

144/12=12

7 0

3 years ago