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sertanlavr [38]
3 years ago
11

If a → b is true, then ~a → b is also true.

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

False

Step-by-step explanation:

To determine whether the statemaent "If a\Rightarrow b is true, then \neg a\Rightarrow b is also true" holds, you can form the truth table:

\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}

When the result of the column a\Rightarrow b takes value 1 (true), the result of the column  \neg a\Rightarrow b is not always 1, then the statement is false.

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8.4.49 A cow is tethered to one corner of a square​ barn, 19 feet by 19 ​feet, with a rope 160 feet long.​ (See the illustration
SashulF [63]

Answer:

20096 ft^2

Step-by-step explanation:

We are given that

Length of rope=l=160 feet

Radius of quadrant of circle=r=160 feet

We have to find the  maximum grazing area of the cow.

We know that

Area of quadrant of circle=\frac{1}{4}\pi r^2

Where \pi=3.14

Using the formula

Area grazed by cow=\frac{1}{4}\times 3.14(160)^2

Area grazed by cow=20096 ft^2

4 0
3 years ago
Is 3x + 5 = 3x - 5 one solution or no solution
Ray Of Light [21]

Answer:

one solution

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Elizabeth works part-time to help pay for college. She has worked for the last 14 days without a day off for a total of 48 hours
Genrish500 [490]
 14 X  48X 3X4 = ur answer

3 0
3 years ago
The answers are 2x1/3 , 3x1/3, 5x1/3or 4x1/3
Oxana [17]

Answer:

what is the question? Please ask a question.

6 0
3 years ago
The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula
oee [108]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu = 30\ seconds

    The standard deviation is  \sigma = 3 \ seconds

     The sample size is  n  = 9

    The null hypothesis is H_o: \mu  = 30

     The alternative hypothesis is  H_a  :  \mu \ne 30

    The level of significance is  \alpha = 0.01

    The sample mean is  \= x = 31.2

Generally the test statistics is mathematically represented as

      z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }

=>   z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }

=>   z = 1.2

From the z table  the area under the normal curve to the right corresponding to  1.2  is    

         P(Z >  1.2) =  0.11507

Generally the p-value is mathematically represented as

         p-value = 2 * P(Z >  1.2)

=>       p-value = 2 *0.11507

=>       p-value = 0.230

From the value obtained w can see that

         p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

6 0
3 years ago
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