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marin [14]
3 years ago
12

WHICH IS A TRUE STATEMENT BASED ON THE DOT PLOTS BELOW 10 POINTS

Mathematics
1 answer:
Nata [24]3 years ago
6 0

Answer:

C. Set B has the greater range.

Step-by-step explanation:

We can start out with listing out each set of data in a way that makes it easier to work with.

Set A:

20,20,30,30,40,40,40,40,40,50,50,60,60,60

Set B:

10,10,20,20,20,30,30,30,30,40,50,50,60

We can start by trying to eliminate answer options; starting with D.

To get the mean of a set of data, we need to add all numbers in the data set and then divide by the number of dots on the plot.

For Set B: 10+10+20+20+20+20+30+30+30+30+40+50+50+60=420 then divide by number of dots (14) 420/14=30 The mean of Set B is equal to 30.

Solve the mean for Set A to compare. The mean is 41. D is not true so we can eliminate this answer choice.

We can look at the median of both sets so that we can eliminate answer choice B. The median is the middle most point in the set of data.

Set A median: 40

Set B median: 30

We can eliminate B because it does not have the greater median.

On to option C: range.

To find the range of each data set, we subtract the smallest number from the biggest number.

Set A: 60-20=40

Set B: 60-10= 50

Set B does in fact have a greater range than Set A. Answer choice C is the correct option.

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Calculate the slope of the line through the points M(-2, -1) and N(0, -13).
galina1969 [7]

Answer:-6

Step-by-step explanation:

to solve for slope, you have to do (y1-y2)/(x1-x2)

in this problem, that turns into (-1-(-13))/(-2-0)

which is (-1+13)/(-2-0) which is 12/-2 which is -6, your answer

6 0
3 years ago
Find the equation of the line that passes through points (3,5) and (-6,2). Write the equation in slope intercept form.
andrezito [222]
1)  gradient of line = Δ y ÷ Δ x
                              = (5 -2) ÷ (3 - (-6))
                              = ¹/₃
   
     using the point-slope form (y-y₁) = m(x-x₁)
     using (3,5)
           (y - 5) = ¹/₃ (x -3)
             y - 5  = ¹/₃x - 1
        ⇒      <span>  y =   ¹/₃ x  + 4  [OPTION D]


</span>2)        y =  2x  +  5  .... (1)
<span>           </span>y = ¹/₂ x  + 6  .... (2)
       
         by substituting y in (1) for y in (2)

           2x  +  5 = ¹/₂ x  + 6 
                 ³/₂ x = 1
                      x = ²/₃

        by substituting found x (2)

            y = ¹/₂ (²/₃)  + 6
            y = ¹⁹/₃

∴ common point is (²/₃ , ¹⁹/₃)  thus answer is FALSE [OPTION B]


3) Yes [OPTION A]
     This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.

4) No [OPTION B]
       Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other.  Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.

6 0
3 years ago
Two similar cylinders have surface areas of 40 π square feet and 90 π square feet. What is the ratio of the height of the large
Sergio [31]
The ratio would be 90pi/40pi.

Hope this helps:)

4 0
3 years ago
ΔPQR has angle measurements of 80°, 50°, and 50°. What kind of triangle is ΔPQR?
trasher [3.6K]

Answer:

Isosceles Triangle; Acute Triangle

Step-by-step explanation:

Review your definitions of the different types of triangles:

acute triangle- a triangle that has three acute (less than 90 degrees) angles

obtuse triangle- a triangle that has an obtuse (greater than 90 degrees) angle.

right triangle- a triangle that had one right (90 degrees) angles

isosceles triangle- a triangle with two congruent sides and one unique side and angle.

equilateral triangle-  a triangle with three congruent sides and three congruent angles.

scalene triangle- a triangle with no congruent sides and no congruent angles.

With these definitions, we can classify ΔPQR as an isosceles acute triangle.

8 0
3 years ago
The area of a circular garden is 4,225 T square feet. Rick wants to find the diameter of the garden. What is the diameter of
ankoles [38]

Answer:

D.  130 feet

Step-by-step explanation:

<u>Data</u>

  • The area of a circular garden is 4,225 π square feet

The area of a circle is computed as follows:

Area of a circle = π*D²/4

where D refers to the diameter

Replacing with data:

4,225 π = π*D²/4

4,225 π/π *4 = D²

√16900 = D

130 ft = D

5 0
3 years ago
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