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Mathematics

1 answer:

laiz [17]3 years ago

7 0

Answer:

w<= -5

Step-by-step explanation:

w <= -5

If w = -5 ; -5 + 4 = -1 = -1

If w= -6 ; -6 + 4 = -2 < -1

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Which of the following is best described using the notation (x, y, z)?

julia-pushkina [17]

Answer:

Step-by-step explanation:

In the Cartesian system and coordinates, we have the 2 dimensional plane and also the 3 dimensional plane.

The two dimensional plane is the more popular one within this level of education where we have one of the coordinates denoting the horizontal distance with the other coordinate denoting the vertical distance.

The one that denotes the horizontal distance is referred to as the x-coordinate with its plane called the x-axis while the one they represents the vertical distance is referred to the y-coordinate and its plane is called the y-axis

In the three dimensional space however, we have the third side which is the z part and it’s called the z-coordinate which is for the z axis

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Naya [18.7K]

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8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches

sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that $\mu = 32, \sigma = 1.5$