Answer:
2^6
Step-by-step explanation:
8^2=8×8
=2×2×2×2×2×2
=2^6
Answer: 12
Step-by-step explanation:
Tom's fish
goldfish=16
betta fish=5
total tom's fish=21
Jim's fish
goldfish=16+8=24
21+24=45
57-45=12
so jim has 12 betta fishs
Answer:
i)
Variables: length of bolt, number of flaws of bolt
ii)
Length of bolt: Quantitative continuous
number of flaws of bolt: Quantitative discrete
iii)
Observational unit: Bolts
iv)
sample size=75
Step-by-step explanation:
i)
The variables in the conducted study are "length of bolt" and "number of flaws on each bolt" because quality engineer is interested in evaluating the length of bolt and the number of flaws each bolt is having. Thus, the length and number of flaws for each bolt varies and we can say that "length of bolt" and "number of flaws on each bolt" are two variables in the conducted study.
ii)
The length of bolt can be presented numerically and further that the length of a bolt is measurable and thus, the length of bolt is a quantitative continuous variable.
The number of flaws of each bolt can be presented numerically and further that the number of flaws of each bolt can be counted and thus, the number of flaws of each bolt is a quantitative discrete variable.
iii)
The conducted study indicates that observational units are "bolts" because for each bolt its length and flaws are determined.
iv)
The sample size is 75 because a quality engineer selected 75 bolts and then measured its length and flaws.
Answer:
Area of parallelogram is 150 square ft
Step-by-step explanation:
Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.
Area of parallelogram is 
= 
= 150 square ft
now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.
The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.
2 right angled triangles KPL and NOM by construction
⇒ 
(∵ KLMN is a parallelogram)
Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft
Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.
