Answer:
9 x D
Step-by-step explanation:
D being the number of doughnuts produced.
Answer:
1x
Step-by-step explanation:
first you do 2-4= 2 then 2-3= 1 and then you put the x
so 3x-(2-4x)=1x
Answer:
A random movie is between 1.8 and 2.0 hours.
z=1.8-1.9/0.3= -0.33= 0.3707
z=2.0-1.9/0.3= 0.33= 0.6293
0.6293-0.3707= 0.2586
Therefore, the chance a random movie is between 1.8 and 2.0 hours long is 0.2586.
A movie is longer than 2.3 hours.
z=2.3-1.9/0.3 =1.33 =0.9082
1-0.9082= 0.0918
Therefore, the chance a movie is longer than 2.3 hours is 0.9082.
The length of movie that is shorter than 94% of the movies
z=x-1.9/0.3= 0.94
z=x-1.9/0.3= 1-0.94= 0.06
=x-1.9/0.3= 0.06= -1.56
x= 1.432
Therefore, the length of the movie that is shorter than 94% of the movies about 1.4 hours.
Step-by-step explanation:
Answer: figures C and D.
Explanation:
The question is which two figures have the same volume. Hence, you have to calculate the volumes of each figure until you find the two with the same volume.
1) Figure A. It is a slant cone.
Dimensions:
- slant height, l = 6 cm
- height, h: 5 cm
- base area, b: 20 cm²
The volume of a slant cone is the same as the volume of a regular cone if the height and radius of both cones are the same.
Formula: V = (1/3)(base area)(height) = (1/3)b·h
Calculations:
- V = (1/3)×20cm²×5cm = 100/3 cm³
2. Figure B. It is a right cylinder
Dimensions:
- base area, b: 20 cm²
- height, h: 6 cm
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20 cm²· 6cm = 120 cm³
3. Figure C. It is a slant cylinder.
Dimensions:
- base area, b: 20 cm²
- slant height, l: 6 cm
- height, h: 5 cm
The volume of a slant cylinder is the same as the volume of a regular cylinder if the height and radius of both cylinders are the same.
Formula: V = (base area)(height) = b·h
Calculations:
- V = 20cm² · 5cm = 100 cm³
4. Fiigure D. It is a rectangular pyramid.
Dimensions:
- length, l: 6cm
- base area, b: 20 cm²
- height, h: 5 cm
Formula: V = (base area) (height) = b·h
Calculations:
- V = 20 cm² · 5 cm = 100 cm³
→ Now, you have found the two figures with the same volume: figure C and figure D. ←
You need to find the number of permutations of the 5 beaches, taken 3 at a time:
