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marishachu [46]
2 years ago
13

Which statement is logically equivalent to the following conditional statement?

Mathematics
2 answers:
anastassius [24]2 years ago
6 0

Hi there! Your answer would be:

D, If it is an octagon, then it does not have exactly five sides.

I also know because I took this exam and it was correct.


Hope that helps!

Tju [1.3M]2 years ago
6 0

Answer:

D. If it is an octagon, then it does not have exactly five sides.

Step-by-step explanation:

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c

Step-by-step explanation:

-7.5 is less than 6.5

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The greatest common factor of 24, 40 and 60
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4

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Javier participated in a local hot dog-eating contest. The graph below shows the number of hot dogs he ate. What is Javier's ave
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⅖ = ½ x<br> Explain your reasoning
fomenos

x = 4/5

2/5=1/2x

Step 1: Flip the equation.

1/2x=2/5

Step 2: Multiply both sides by 2.

2*(1/2x)=2*(2/5)x=4/5

4 0
2 years ago
Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i
vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers

The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10

Thus, a Normal approximation to binomial can be applied.

So,  

X\sim N(\mu=600, \sigma=\sqrt{120})

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

                   = P (X > 280.50)

                   =P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0
3 years ago
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