The sum of the squares of three consecutive positive even numbers is 12296. Find the product of the three numbers divided by 8.

Mathematics

1 answer:

son4ous [18]2 years ago

5 0

Answer: 32,736
Hope this helps

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Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution. What is th

Mekhanik [1.2K]

Answer: 0.8413

Step-by-step explanation:

Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.

Mean : $\mu=47$

Standard deviation : $\sigma= 4$

Let x be the random variable that represents the typing speeds for the students.

The z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 51

$z=\dfrac{51-47}{4}=1$

Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-

$P(x$

Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413

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3 years ago

Nineteen more than a number is less than 42

Lelechka [254]

We are trying to find the number that when added to 19, gives us less than 42. We can set up this simple inequality:

19 + x < 42

Now, subtract 19 from both sides:

x < 23

Our number can be anything less than 23.

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3 years ago

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Find the approximate perimeter of rectangle ABCD plotted below. B(4,5) AC -6,0) C(8,-3) D(-2,-8) Choose 1 answer: Do 5 problems

Likurg_2 [28]

Answer:

Perimeter of rectangle ABCD = 47.62

Step-by-step explanation:

The perimeter of a rectangle is P = 2(length + width)

You need to find length and width

If you graph, you can pick your length length and your width

Pick two points after you graph, for $(x_{1},y_{1}) and (x_{2},y_{2})$