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3 years ago

What is a counterexample for the conjecture? Any number that is divisible by four is also divisible by eight

1 answer:

3 0

The value 12 is a good counterexample. It is divisible by 4 (since 12/4 = 3 is a whole number with no remainders or decimal portions) but 12 is not divisible by 8 (note how 12/8 = 1 remainder 4 = 1.5)

To find other examples, add 8 to 12 to get 20. Then add on 8 more to get 28. This pattern continues on forever.

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Find the slope of the line. pleaseee

Akimi4 [234]

Answer:

Step-by-step explanation:

The slope is the change in y divided by the corresponding change in x:

∆y/∆x = (54.99 -54.99)/(7 -6) = 0/1 = 0

The slope of the line is zero.

7 0

3 years ago

Please help!! I need to know this by today

Sergeu [11.5K]

Your answer would be 6cm by 48cm because if your ratio is 1:8 your second number would be eight times the cm of your first number. 6*8=48

3 0

3 years ago

Suppose the average tread-life of a certain brand of tire is 42,000 miles and that this mileage follows the exponential probabil

Ahat [919]

Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

Step-by-step explanation:

The cumulative distribution function for exponential distribution is :-

$P(X\leq x)=1-e^{\frac{-x}{\lambda}}$ , where $\lambda$ is the mean of the distribution.

As per given , we have

Average tread-life of a certain brand of tire : $\lambda=\text{42,000 miles }$

Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

$P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872$

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

8 0

3 years ago

The planet Mercury is approximately 6 × 10*7 miles from the sun . the distance between the sun and Mars is approximately 2 × 10*

vodomira [7]

The answer is B

Because Mercury and the Sun are 60,000,00 miles apart and Mars is 200,000,000 miles away from the sun. Divide 200,000,000 and 60,000,000 and you will get 3.3 (Just round)

3 0

3 years ago

Read 2 more answers

The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the cylinder

ladessa [460]

Answer:

18/20π

Step-by-step explanation:

81π ÷ 1 = 81π

81π ÷2 = 18/20π

You do this because the radius is half of the diameter and you need to get rid of the hight by dividing it from the volume.

7 0

2 years ago