What is the range of Variable A for the cluster?

1 answer:

5 0

1. The range is the possible values for the y-coordinate in a relation or a set of data pairs.
The range is {nine, ten, eight, five, four, two}

2. If you plot the given points, then you'd see that that point
(three, nine) is far from the rest of the other points which makes it an outlier. Other methods can be used to determine whether or not the point is really and outlier. For now, a visual inspection is enough.

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A circular bar is subjected to an axial pull of 100kN.if the maximum intensity of shear stress on any plane is not to exceed 60M

Oksana_A [137]

Use a Mohr circle to find the maximum shear stress relative to the axial stress.
Here we assume the axial stress is sigma, the transverse axial stress is zero.
So we have a Mohr circle with (0,0) and (0,sigma) as a diameter.
The centre of the circle is therefore (0,sigma/2), and the radius is sigma/2.
From the circle, we determine that the maximum stress is the maximum y-axis values, namely +/- sigma/2, at locations (sigma/2, sigma/2), and (sigma/2, -sigma/2).
Given that the maximum shear stress is 60 MPa, we have
sigma/2=60 MPa, or sigma=120 MPa.
(note: 1 MPa = 1N/mm^2)
Therefore
100 kN/(pi*d^2/4)=100,000 N/(pi*d^2/4)=120 MPa where d is in mm.
Solve for d
d=sqrt(100,000*4/(120*pi))
=32.5735 mm

5 0

3 years ago

The median for the given set of six ordered data values is 32.5.

klemol [59]

Answer:

Step-by-step explanation:

=195/6=32.5

6 0

3 years ago

. The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces

Pepsi [2]

Answer:

She should offer a guarantee of 13.76 years.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.

This means that $\mu = 10, \sigma = 2$