Points A, B, C, and D lie on the circle. Solve for the value of X

Mathematics

2 answers:

kobusy [5.1K]3 years ago

7 0

Yes I believe it is also A

aliina [53]3 years ago

4 0

Answer:

A 65

Step-by-step explanation:

The angle formed by two chords is 1/2 the sum of intercepted arcs

x = 1/2 (51+79)

x = 1/2(130)

x =65

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A student claims that only one operation is needed to calculate the length of the subtended arc when given the measure of a cent

Debora [2.8K]

Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression

Length = angle(radians)*diameter/2

With this expression we can easily deduce the perimeter of a circle (length of the full arc)

Length = Perimeter = 2*pi*r

There is only one operation involved in this process

4 0

2 years ago

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

$\bar{x} = \frac{{\sum}x}{n}$

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$