MATHEMATICS HIGH SCHOOL

The data below were gathered on a random sample of 5 basking sharks, swimming through the water and filter-feeding, i.e. letting the water bring food into their mouths.Body Length (meters) Column 1

Mean Speed (meters/seconds) Column 2

4 0.89
4.5 0.83
4 0.76
6.5 0.94
5.5 0.94

Construct a scatterplot of the data and answer the following questions:
(a) What is the label for the horizontal axis?
(b) What is the label for the vertical axis?
(c) Interpret the scatterplot (comment on association, form, strength, and outliers).

Answers

Answer 1
Answer: Given:
Body length (meters) Mean Speed (meters/seconds) 4                                            0.89 
4.5                                         0.83 4                                            0.76 6.5                                         0.94 5.5                                         0.94 

The horizontal axis is the x-axis. The values reflected in this axis is the body length of the shark.

The vertical axis is the y-axis. The values reflected in this axis is the mean speed.

Graph your own scatter plot.
point 1 (4, 0.89)
point 2 (4.5, 0.83)
point 3 (4, 0.76)
point 4 ( 6.5, 0.94)
point 5 (5.5, 0.94)
Answer 2
Answer:

The correct answers are:

Body length; Mean Speed; There appear to be no outliers, the graph seems to have a strong positive association and appears to be nearly linear in form.  The graph is attached.

Explanation:

Since body length is in column 1, that will be the label of the horizontal axis.  The mean speed is in column 2, so that will be the label of the vertical axis.  

The points are very tightly grouped and appear to be slightly increasing.  There are no points that are very different than the rest, so there are no outliers.

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Answers

Answer:

x=1/252

x=0.00396825

Step-by-step explanation:

Hope this helped!!!

Solve for x.5+4/7(21+3x)=41

(note the 4/7 is a fraction not division)

Enter your answer in the box.

x =

Answers

Answer:

The answer is x=14.

Step-by-step explanation:

In order to determine the answer, we have to solve for x, that is, we have to free the "x" variable in any side of the equation. We have to do the same procedure for any variable, independent of the amount of variables in the equation.

Solving the expression for x:

5+(4)/(7)*(21+3x)=41\n(4)/(7)*(21+3x)=41-5\n\n21+3x=(36)/((4)/(7) ) \n\n21+3x=(36*7)/(4)\n3x=63-21\n3x=42\nx=(42)/(3)= 14

The solution for x is x=14.

Answer:

x=14

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Find the slope of each line that passes through each pair of points The points (3, 5) and (-2, 10) lie on a line. The points P (5,-7), Q (-2,-7) lie on a straight line

Answers

Answer:

  1. m = -1
  2. m = 0

Step-by-step explanation:

1.

\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(3,\:5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:10\right)\n\nm=(10-5)/(-2-3)\n\nm=(5)/(-5)\n\nsimplify\n\nm=-1

2.

\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(5,\:-7\right),\:\n\left(x_2,\:y_2\right)=\left(-2,\:-7\right)\n\nm=(-7-\left(-7\right))/(-2-5)\n\nm=(-7+7)/(-7) \n\nm = (0)/(7)\n\nSimplify\n\nm =0

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O 78
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o 96
O 102

Answers

Answer:

96°

Explanation

Given problem:

 Find the value of x in the diagram;

Given that lines a and b are parallel lines and transversal c cuts through them;

  the two given angles are said to be equal and alternate angles;

  So;

                99  = x + 3

                     x  = 99  - 3  = 96°

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