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3 years ago

What is necessary condition in logic?

Mathematics

1 answer:

Juliette [100K]3 years ago

4 0

Answer:

necessity and sufficiency

Step-by-step explanation:

In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements.

In general, a necessary condition is one that must be present in order for another condition to occur, while a sufficient condition is one that produces the said condition.

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35 solve the following syste

blondinia [14]

Part A: The solution is $(-0.923,5.692)$

Part B: The point $(3,7)$ is not in the solution set.

Explanation:

Part A: The given inequalities are $3 x+4 y>20$ and $x$

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

$x=3 y-18$ and $3 x+4 y=20$

Let us substitute $x=3 y-18$ in the equation $3 x+4 y=20$ , we get,

$3 (3y-18)+4 y=20$

$9y-54+4y=20$

$13y=74$

$y=5.692$

Substituting $y=5.692$ in $x=3 y-18$ , we get,

$x=3 (5.692)-18$

$=17.076-18$

$x=-0.923$

Thus, the solution set is $(-0.923,5.692)$

Part B: Now, we shall determine whether the point $(3,7)$ is in the solution set.

Let us substitute the point $(3,7)$ in the inequalities $3 x+4 y>20$ and $x$ , we get,

$3 (3)+4 (7)>20$

$9+28>20$

$37>20$

Also, substituting $(3,7)$ in $x$ , we get,

$3$

Since, the point $(3,7)$ does not satisfy one of the inequality $x$ , the solution set does not contain the point $(3,7)$

Thus, the point $(3,7)$ is not in the solution set.

8 0

3 years ago

ASAP i need this TODAY PLEASE)For a survey, students in a class answered these questions: Do you play a sport? Do you play a mus

kondaur [170]

To the nearest percentage point, what percentage of students who play a sport don’t play a musical instrument?

First, using the information given, fill out the chart with the rest of the data (in the image attached)

Then find the number of students who play a sport and don’t play a musical instrument, which in the chart is 11

Place 11 over the total: $\frac{11}{25}$ and convert to a percentage:

44%

5 0

3 years ago

1) A radio signal travels from the earth and through space at a speed of 300,000 km/s. How far into space would the signal trave

riadik2000 [5.3K]

Answer:

1. 24,000,000, i believe you divide, 300,000/80.

2. 4.065 seconds, i also believe you divide 5000m/1230.

7 0

3 years ago

A sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4. You want to c

Nikolay [14]

Answer:

21, 144, 12

Step-by-step explanation:

Given that a sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4.

Let X be the distance in yard.

i.e. each entry of x is multiplied by 3.

New mean variance std devition would be

E(3x) = $3E(x) = 21$

Var (3x) = $3^2 Var(x) = 9(16) =144$

Std dev (3x) = $\sqrt{144 } =12$

Thus we find mean and std devition get multiplied by 3, variance is multiplied by 9

4 0

3 years ago

Lots of Points!!!<br> Please finish these few questions

labwork [276]

Answer:

It's a polygon

Step-by-step explanation:

pls mark me as brainliest

3 0

3 years ago

What is necessary condition in logic?​

What is necessary condition in logic?