1) Fitbit specializes in making wearable devices to track a user's heart rate continuously whether awake or asleep. They collect users data anonymously so they may analyze the data to help improve heart health. The following is a list of 15 countries and their average RHR (Resting Heart Rate) in beats per minute. Use your calculator to answer each of the following: Country Name RHR (BPM) a) Find the mean and median for this şample data. Round to the nearest 100". 21 64.7 63.87 64.9 mean = Australia Median.363.9 b) Find the sample standard deviation and range. Round to the nearest 100™ . Canada 13 65.2 63.2 China France Germany 64.0 Ireland - 62.1 c) Find the IQR of the heart-rate data. Italy 61.9 Japan 10 64.6 New Zealand 1 63.9 d) Use the 1.5(IQR) rule to determine if there are any outliers. Show work. Norway 63.1 65.9 14 2-62.1 Singapore Spain e) What percentile is the RHR for Canada? Explain its meaning in the conte: Switzerland 63.3 of the situation. United Kingdom G 63.2 156 United States 65.9 2) The following discrete probability distribution gives the probability that a US household owns the giver number of vehicles. 1 3. 4 P(x) .09 .33 .36 .14 .05 .02 .01 +PX=2)P€x3 pindest vnitg O a) Find P(x < 3) = P(x=O) +P(x=l)+P&- a) Find P(x <3) ニ 2O.09+0.33+0.36 b) What is the probability that a household owns at least one vehicle? 16. PX2)=1-P=X=0) 1-0•09 c) If three households are selected, what is the probability they all own exactly two věhicles? x-x)%=R18°(1-P)-x 130.36(1-0.36)3-3 10.0 OoO 13D d) Find the mean number of cars househofds in the US own.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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