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3 years ago

5

Find the median and mode of the data.

1 answer:

jeka943 years ago

4 0

Answer:the mode is 2 1/2 because it repeats twice

Step-by-step explanation:repeats twice

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EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the f

Ymorist [56]

Given:

A combined figure of a triangular prism and a cuboid.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.

So, the volume of the cuboid is:

$V_1=length\times width\times height$

$V_1=6\times 8\times 5$

$V_1=240$

The volume of the cuboid is 240 cubic cm.

The area of a triangle is:

$Area=\dfrac{1}{2}\times base\times height$

Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:

$B=\dfrac{1}{2}\times 8\times 4$

$B=16$

The volume of a triangular prism is:

$V_2=Bh$

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

$V_2=16(5)$

$V_2=80$

Now, the volume of the given figure is:

$V=V_1+V_2$

$V=240+80$

$V=320$

Hence, the volume of the finished object is 320 cubic cm.

7 0

3 years ago

Lily estimates a quotient of 120 and found an actual quotient of 83. What she should do next

marshall27 [118]

Devide 120/83=1.45 is rounded to nearest hundreth

7 0

3 years ago

Unit 7 - Mid Unit Assessment - Grade 8

Stolb23 [73]

Answer:

1000 times

First, we estimated the Sun's width in terms of the Earth's breadth, then the Star's width in terms of the Earth's breadth, and for comparison, we did simple division, which revealed that the Star KW Sagittarii is 1000 times wider than the Sun.

8 0

3 years ago

( 1,-2), gradient = -3

igor_vitrenko [27]

Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

6 0

3 years ago

Read 2 more answers

35 solve the following syste

blondinia [14]

Part A: The solution is $(-0.923,5.692)$

Part B: The point $(3,7)$ is not in the solution set.

Explanation:

Part A: The given inequalities are $3 x+4 y>20$ and $x$

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

$x=3 y-18$ and $3 x+4 y=20$

Let us substitute $x=3 y-18$ in the equation $3 x+4 y=20$ , we get,

$3 (3y-18)+4 y=20$

$9y-54+4y=20$

$13y=74$

$y=5.692$

Substituting $y=5.692$ in $x=3 y-18$ , we get,

$x=3 (5.692)-18$

$=17.076-18$

$x=-0.923$

Thus, the solution set is $(-0.923,5.692)$

Part B: Now, we shall determine whether the point $(3,7)$ is in the solution set.

Let us substitute the point $(3,7)$ in the inequalities $3 x+4 y>20$ and $x$ , we get,

$3 (3)+4 (7)>20$

$9+28>20$

$37>20$

Also, substituting $(3,7)$ in $x$ , we get,

$3$

$3$

$3$

Since, the point $(3,7)$ does not satisfy one of the inequality $x$ , the solution set does not contain the point $(3,7)$

Thus, the point $(3,7)$ is not in the solution set.

8 0

3 years ago