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MakcuM [25]
3 years ago
11

Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter o

ccurs, then parents do not send children to school and employees do not go to work.
Key: C = Parents send children to school.
E = Employees go to work.
P = The public will panic.
Q = Infected people are quarantined.
S = There is a swine flu epidemic.
Translation:
Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

Here the answer is \left ( S\rightarrow Q \right )\wedge P\wedge \left ( S\rightarrow \sim C \right )\wedge \left ( \sim E \right ).

Step-by-step explanation:

Here the given is:

C = Parents send children to school.

E = Employees go to work.

P = The public will panic.

Q = Infected people are quarantined.

S = There is a swine flu epidemic

Now the given statement is given as follows,

(if S then Q) and P and (if S then (not C) and (not E))

So this can be written in symbolic form as:

\left ( S\rightarrow Q \right )\wedge P\wedge \left ( S\rightarrow \sim C \right )\wedge \left ( \sim E \right )

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Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum
s344n2d4d5 [400]

The contingency tables serve to record the frequencies with which an object appears according to the measured variables, in this case two variables, each with two scales, the scratch resistance and the shock resistance, both measured as high and low.

The information is organized in such a way that the value of each box represents the total number of objects that meet the characteristics measured for each variable, for example in this case we have 70 discs with <em>high shock resistance and high scratch resistance</em>, 9 with <em>high scratch resistance and low shock resistance</em>, 16 with <em>high shock resistance and low scratch resistance</em> and finally 5 discs with <em>low scratch and shock resistance</em>.

We complete the table like this to obtain other total values:

\qquad\qquad\qquad\qquad\qquad\text{Shock resistance}\\\text{Scratch resistence}\left[\begin{array}{cccc}&\text{high}&\text{low}&\text{total}\\\text{high}&70&9&79\\\text{low}&16&5&21\\\text{total}&86&14&100\end{array}\right]

With this information, and taking into account that the values ​​presented are frequencies, to obtain the probability, each one must be divided into the total number of objects and multiply by 100, for this case as 100 objects, the frequency is the same percentage or probability .

Answer

a) The probability that, when selecting a random disk, its scratch resistance is high and its shock resistance is high is 70%, since this is the value that corresponds to the intersection of both variables in the table.

b) the probability that, when selecting a random disk, its resistance to scratches is high or that its resistance to impacts is high is 95% because the probability that its resistance to scratches is high is 79 % and the probability that its impact resistance is high is 86%, as one or the other requests, this is the sum of both minus the intersection, that is 79% + 86% -70% = 95%

c) the two events described are not mutually exclusive, that is, they cannot pass through, since the table informs us that of the analyzed discs 70, these two characteristics possessed, high shock resistance and high scratch resistance

8 0
4 years ago
Create a word problem that can be represented by the expression below. Then, represent each product or quotient as a single rati
Ber [7]
I have eight coupons that are all worth -.25
6 0
4 years ago
What is the equation for the line of reflection that maps the trapezoid onto itself? Enter your answer in the box______
nadezda [96]
Y = -1

It is an isosceles trapezoid, which is just as well, otherwise it could not reflect onto itself. The line of reflection is the same as the mirror line which is the same as the axis of symmetry.

It runs horizontally exactly through the middle of the shape.

All horizontal lines have the equation y = a value

In this case the line is <span>y=−<span>1</span></span>

6 0
4 years ago
Write an inequality for the given statement: The sum of x and 25 is less than 75.
Kaylis [27]
That statement would be best express by " x + 25 < 75 ". Since the statement says the sum of x and 25, thus, it will be x + 25. Then it also states that the sum is less than 75, so the best expression would be " < 75".
4 0
3 years ago
Please help
Liono4ka [1.6K]

Answer:

P(red) = .3

P(yellow) = .3

75 cubes in the box

Step-by-step explanation:

The probability has to add to 1

Since the number of red cubes equals the number of yellow cubes the probability has to be the same

.4 + x+x = 1

.4 +2x = 1

2x = 1-.4

2x = .6

Divide by 2

x = .6/2

x = .3

P(red) = .3

P(yellow) = .3

We know that

P(blue) = .4 = number of blue cubes/ total number of cubes

                 .4 = 30/total

                  total = 30/.4

                   total = 75

7 0
3 years ago
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