A biologist measured the number of mosquito larvae on the surface of a 1 pond. The biologist randomly sampled various spots on the pond's surface. For each spot, he measured the surface area and counted the number of mosquito larvae in that spot. Surface Area (cm?) 4 20 25 40 40 45 45 Number of Mosquito Larvae 4. 5. 9. 11 a) Draw a mapping diagram to represent the relation between the surface area and the number of mosquito larvae. Identify the relation between the surface area and the number of mosquito larvae. Then tell whether the relation represented by the mapping diagram is a function. Explain. b) The biologist decides to find the average number of mosquito larvae for a given surface area. Complete the table. Then tell whether this relation is a function. Explain. c) Surface Area (cm²) 4. 6. 20 25 40 45 Average Number of Mosquito Larvae

Q: Source Between Within Total SS df MS F N/A

A: To test, the null and alternative hypotheses: Ho : Three programs produce same result Ha : At least…

Q: Let X and Y be two independent random variables, and their joint mass function and marginal mass…

A: If X and Y are independentP(X=x,Y=y)= P(X=x)×P(Y=y)

Q: Let the joint density function of random variables (X, Y) be f(x, y) = -2x-3y (Ae ²x-³y, x>0, y>0 0,…

A: Given the joint density function of random variables :

Q: coordinates of the ロ center of hyperbola length of the transverse axis the coordinates of foci…

A: Coordinates of center of Hyperbola  =  3,6 Length of the transverse axis             =   3.61…

Q: Plot data on a line graph

A: Graphs are visual representation of data set. It helps to understand the data by seeing it. Each…

Q: 24. Identify which matrix you would multiply both sides by to solve the system of equations. = [1,2]…

A: The matrix equation is given byOn comparing above matrix with the equation . We get,To determine:…

Q: Identify the relationship between attributes

A: To identify the relationship between attributes, we can perform a correlation analysis using SPSS.…

Q: Find the areas of the shaded regions in

A:

Q: X~N(0,1) and find the probability density function of the random variable Y=IXI.

A: Probability Distributions: You should be familiar with probability distributions, including the…

Q: 110° 20 105°

A: Find x,y

Q: The random variables X₁, X₂ have the same distribution as shown follows Xi P 0 1/2 1 1/4 2 1/4 Where…

A: Here, we are given that the random variable X1, X2 have the same distribution…

Q: A teacher asked her students how long it takes each of them to get to school. The responses Were…

A: Dot plots are statistical diagrams that graphically display the data with dots. It is a variety of…

Q: Given f(x)dx = 7, f(x)dx = 4, find f(x)dx

A: We will use the following property of integrals to solve this

Q: Which of the following integrals converges? *-0.01 а. 1+ x 001 b. 1+x с. 001 1 +x d. -001 1+x е.…

A: To verify the convergence of given integrals we use the fact as given in the picture.

Q: To evaluate the integral |x sin xcos x dx using integration by parts, the convenient choice is, H=…

A: a. Given integral is ∫ xtan2xdx. Considering u=x and v'=tan2x is the convenient choice for…

Q: The equation of the least-squares regression line for predicting beak heat loss, as a percent of…

A:

Q: Reputations of 10 Companies in the U.S. Year Company Company Name Formed Reputation Industry…

A: The interval scale is a quantitative measurement where there should be order and the difference…

Q: Sketch the graphs of f(x) = 2* and g(x) = log,x on the same coordinate system then %3D compare your…

A: The given functions are  f(x) = 2x and g(x) = log2 x

Q: 1, 0< yı, Y2 1 | 0, clsewhere f(y1, Y2) %3D Are random variables Y and Y, independent? Show the…

A:

Q: Degree of DE Independent Variable/s Unknown Differential Equation Type of DE Order of DE function…

A:

Q: 0 X e-x/y y dx

A:

Q: find the inflection points.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: Let X denote a random variable that takes on any of the values -1, 0, and 1 with respective…

A: Probability mass function of X is x-101P(X=x)0.20.50.3

Q: Show that the integral of density function for X satisfy - e-(x-µ)² 1²0°²³ dx = 1. 1 +00 |2πσ

A:

Q: x 1 2 3 4 5 6 An exponential function. OA linear function. A quadratic function. f(x) None of the…

A: Using the given table, we need determine the function that describes this dataset.

Q: Do a T test and interpret the results from the data and graph in the attached images

A: Given information: The data represents the values of the variables crushed walnuts and uncrushed…

Q: Match the term to the number to place the term in the correction location on the hierarchical chart

A: Topic- hierarchy chart for polygon

Q: • Stem-and-Leaf Plot -o Boxplot O Histogram O Pie Chart O Bar Chart Dotplot a. quantitative b.…

A: Ans .   1.  A stem-and-leaf plot is a graph of quantitative data that is similar to a histogram in…

Q: cos To evaluate the integral | dx using Integration by Parts, we should choose u = Vx, v'= cos а. 1…

A:

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.