The resting heart rate for an adult horse should average about u = 48 beats per minute with a (95% of data) range from 22 to 74 beats per minute. Let x be a random variable that represents the resting heart rate for an adult horse. Assume that x has a distribution that is approximately normal. A USE SALT (a) The empirical rule indicates that for a symmetrical and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the mean. Therefore, a 95% range of data values extending from u - 20 to u + 20 is often used for "commonly occurring" data values. Note that the interval from u - 20 to u + 20 is 4o in length. This leads to a "rule of thumb" for estimating the standard deviation from a 95% range of data values. Estimating the standard deviation For a symmetric, bell-shaped distribution, standard deviation angehigh value - low value where it is estimated that about 95% of the commonly occurring data values fall into this range. Use this "rule of thumb" to estimate the standard deviation of x distribution. (Round your answer to one decimal place.) beats (b) What is the probability that the heart rate is less than 25 beats per minute? (Round your answer to four decimal places.) (c) What is the probability that the heart rate is greater than 60 beats per minute? (Round your answer to four decimal places.)

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.