A number patter is a list of numbers that follow a certain pattern like 2,4,6,8,10 is a pattern of 2's
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. ←
Answer:arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.
Step-by-step explanation:
Thanks for the full problem. You did part A correctly but wrote "large shirt" instead of "red shirt" in the denominator. You correctly used 0.35, the probability of a red shirt.
The formula for conditional probability applied here says:
P( large | red ) = P(large & red) / P(red)
We have n=100 shirts, 5 of which are large and red
P(large & red) = 5/100
P(red) = 35/100
P(large | red) = (5/100)/(35/100) = 5/35 = 1/7 = 0.14285...
Part A answer: 14.3%
P(small | red) = P(small & red) / P(red) = (30/100)/(35/100)=6/7=.8571...
Part B answer: 85.7%
Answer:
64
Step-by-step explanation:
