Answer:
120 cubes
Step-by-step explanation:
Find the volume of the prism and then divide it by the volume of one cube (which is 1/27 cm):
V = length*width*height = (5/3 cm)(4/3 cm)(2 cm) = 40/9 cm³.
Dividing this result by 1/27 yields
40 27 40*3
------ * ------ = -------------- = 120
9 1 1
120 cubes (answer)
The train Chug-a-Lug must be going 153.5 miles to match the same speed as Old Steamy so they can arrive at the station at the same time.
Answer:
x= 21
y= 3
z= 21
Step-by-step explanation:
Let the center be O,
=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"
=> Line AC is divided in two equal parts by the center so if AO= 21 then
7y = 21, and thus "y = 3"
=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"
Answer:
The area of the parallelagram is 50
Answer:
Step-by-step explanation:
Given is a table showing the weights, in hundreds of pounds, for six selected cars. Also shown is the corresponding fuel efficiency, in miles per gallon (mpg), for the car in city driving.
Weight Fuel eff. x^2 xy y^2
X Y
28 20 784 560 400
3 22 9 66 484
35 19 1225 665 361
32 22 1024 704 484
30 23 900 690 529
29 21 841 609 441
Mean 26.16666667 21.16666667 797.1666667 549 449.8333333
Variance 112.4722222 1.805555556
Covariance -553.8611111
r -0.341120235
Correlaton coefficient =cov (xy)/S_x S_y
Covariance (x,y) = E(xy)-E(x)E(y)
The correlation coefficient between the weight of a car and the fuel efficiency is -0.341
