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Lina20 [59]
2 years ago
12

Let p and q represent the following simple statements:

Mathematics
1 answer:
11111nata11111 [884]2 years ago
6 0

Answer:   p \  \wedge \ q

The upside down V symbol is known as a wedge. It represents a conjunction which is informally the "and". In other words, p \ \wedge \ q = \text{p and q}

Note how we can replace p with "the taxes are high" and replace q with "the job pays well" to arrive at the overall compound statement "The taxes are high and the job pays well".

Some logic textbooks will use an ampersand symbol & to be used in place of a wedge. It will depend on the notation that they, or your teacher, has set up.

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Problem:<br> −(−8y−6.6z−10)<br> Please help me if possible!
sweet [91]
Your answer should be -8y + 6.6z + 10
6 0
2 years ago
Which equation is an identity?
spayn [35]
7z + 10 - z = 8z - 2(z - 5)
7z + 10 - z = 8z - 2z + 10
6z + 10 = 6z + 10
6z - 6z = 10 - 10
0 = 0

Therefore, 7z + 10 - z = 8z - 2(z - 5)
3 0
3 years ago
If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 477 viruses would d
melisa1 [442]

Answer:

0.01596

Step-by-step explanation:

A scientist claims that 8% of the viruses are airborne

Given that:

The population proportion p = 8%

The sample size = 477

We can calculate the standard deviation of the population proportion by using the formula:

\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}

\sigma_p = \sqrt{\dfrac{0.8(1-0.8)}{477}}

\sigma_p = \sqrt{\dfrac{0.0736}{477}}

\sigma_p = 0.02098

The required probability can be calculated as:

P(| \hat p - p| >  0.03) = P(\hat p - p< -0.03 \ or \  \hat p - p > 0.03)

= P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} < -\dfrac{0.03}{0.0124}  \bigg ) +  P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} >\dfrac{0.03}{0.0124} \bigg )

= P(Z < -2.41) + P(Z > 2.41)

= P(Z < -2.41) + P(Z < -2.41)

= 2P( Z< - 2.41)

From the  Z-tables;

P(| \hat p - p| >  0.03) = 2 ( 0.00798

P(| \hat p - p| >  0.03) = 0.01596

Thus, the required probability = 0.01596

3 0
3 years ago
Which statement best describes how to verify the Pythagorean Theorem using this drawing?
liberstina [14]

Answer:

Either A or D

Step-by-step explanation:

Because if you put the area of the two smaller squares together it would equal that one big square.

I don't know if this is right just a tough guess but I hope this helps!

And Good Job for almost being completed!

:)

7 0
2 years ago
Read 2 more answers
A battery company claims that it's AA batteries last an average of 16 hours with a standard deviation of 1.5 hours
ExtremeBDS [4]

Answer:

The claim can be determined by the probability method which will determine the percentage of battery lasting to an average of 16 hours.

Step-by-step explanation:

Probability method in statistics helps to determine the percentage of an event in certain circumstances. In the given scenario the claim is made that battery lasts an average of 16 hours. This claim can be verified by the probability check though standard deviation from the observation.

5 0
3 years ago
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