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2 years ago

Select the statements that describe a normal distribution.

Mathematics

1 answer:

Snezhnost [94]2 years ago

3 0

Answer: The statements that describe a normal distribution are;

a. The density curve is symmetric and bell-shaped.

b. The normal distribution is a continuous distribution.

Step-by-step explanation: The normal distribution is the most commonly used and important statistic tool. It is referred to as the "Bell Curve" because of its bell-shape and the the fact that it is symmetric density curve. A continuous distribution defines the possibilities of a continuous random variable and a prime example of a continuous distribution is the Normal distribution.

The normal distribution is not a discrete distribution because it does not have discrete variables. The normal distribution is not a flat line that extends from a minimum to a maximum but it is a continuous distribution that extends in a bell shape from one minimum value going up to a maximum value before descending back to another minimum value.

68% of a normal distribution curve falls with one standard deviation from the mean not 32%.

The two parameters that define a normal distribution is the mean and the standard deviation.

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find three consecutive negative integers such that six times the largest is equal to the twice sum of the two smaller integers.

Oksana_A [137]

Answer:

The consecutive negative integers are -3, -4 and -5.

Step-by-step explanation:

Let the three consecutive negative integers be k, (k-1) and (k -2)

Now, according to the question:

6(Largest Integer) = 2( Sum of smaller two Integers)

or, 6 (k) = 2( (k-1) + (k-2))

⇒ 6k = 2(2k -3)

or, 6k = 4k - 6

or, 6k - 4k = -6

or, 2k = -6 ⇒ k = -3

Hence, the largest negative integer = -3

The next two consecutive negative integer are (k-1) and (k-2) = (-3-1) and (-3-2)

= -4 and -5

Hence, the consecutive negative integers are -3, -4 and -5.

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2 years ago

Solve for x: 2 over 5 (x − 4) = 2x. −8 negative 1 over 2 1 −1

vlabodo [156]

2/5(x - 4) = 2x
2/5x - 8/5 = 2x....multiply everything by 5
2x - 8 = 10x
-8 = 10x - 2x
-8 = 8x
-8/8 = x
-1 = x <===

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Step-by-step explanation:

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Step-by-step explanation:

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