Solve the equation 3x + 1/2(2x + 6) = 6x + 1
1 answer:
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Answer:
65.3658 inches
Step-by-step explanation:
Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value such that
, but,
, i.e.,
is the 76th percentile of the standard normal distribution. So,
,
. Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.
A.
To find greater than or smaller than relation, we multiply the terms like (numerator of L.H.S with denominator of R.H.S and put the value on the left side. Then multiply the denominator of L.H.S with numerator of R.H.S and put the value on right side. Now compare the digits.)
So, solving A, we get 810<209 ... This is false
B.
= 238>589 ..... This is false
C.
= 496>780 .... This is false
D.
= 420<660 ..... This is true
Hence, option D is true.
Answer:
The volume of rectangular box is 9,000 cubic centimeters
Step-by-step explanation:
Given as :
The length of the rectangular sheet = L = 62 cm
The width of the rectangular sheet = B = 42 cm
Let The volume of rectangular box = v cubic centimeters
From each corner of sheet a square of 6 cm is cut out and an open box made
So, The length of box = L' = (L - 6 - 6)
i.e L' = (62 - 6 - 6)
Or, L' = 50 cm
Or, Length of the box = 50 cm
And The width of the box = B' = (B - 6 - 6)
i.e B' = (42 - 6 - 6)
Or, B' = 30 cm
Or width of the box = 30 cm
And,
The height of the box = H = 6 cm
∴ volume of rectangular box = Length of box × Breadth of box × Height of box
i.e v = L' × B' × H
Or, v = 50 cm × 30 cm × 6 cm
Or, v = 9,000 cm³
So, The volume of rectangular box = v = 9,000 cm³
Hence, The volume of rectangular box is 9,000 cubic centimeters Answer
