There are no repeating variables to have a mode so median and mean are the only options. The mean of this data set is 7.4 and the median is 6. Therefore mean greater than median

7 0

3 years ago

You're uncle is having a new roof installed in his house. The roof is a square pyramid. The side length of the base of the roof

Kaylis [27]

Answer:

The height of the roof in his house is 72.43 ft.

Step-by-step explanation:

The volume of square pyramid is :

$V=\frac13 Bh$

B= area of the base.

h= the height.

Given that,

The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.

The side length of the base of the roof is 28 feet.

Since the base of the roof is square in shape.

The area of the square is = side²

The area of the base is =(28×28) square feet

=784 square feet

Assume the height of the roof be h ft.

Then, the volume of the roof is = $\frac13 Bh$

$=\frac13 \times 784 \times h$ square feet.

According to the problem,

$\frac13 \times 784 \times h= 18929.3333$

$\Rightarrow h=\frac{18929.3333\times 3}{28}$

$\Rightarrow h\approx 72.43$ ft.

The height of the roof in his roof is 72.43 ft.

8 0

3 years ago

A train traveled a distance of 1 mile, or 5,280 feet, while climbing a hill at an angle of 5°.

Finger [1]

You can draw a right triangle where>

1) the distance traveled, i.e. 5280, is the hypotenuse

2) the opposite-leg is the vertical height that you need to calculate

3) the angle is 5°.

Therefore you can use the trigonometric ratio sine, which is:

sin(angle) = opposite-leg / hypotenuse = vertical height / distance traveled

= vertical height = distance traveled * sin (angle)

=> vertical height = 5,280 ft * sin(5°) = 460,18 ft

Answer: 460,18 ft

7 0

4 years ago

Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as hi

Gre4nikov [31]

b trust me no need to explain

5 0

2 years ago