Answer:
(4,1)
Step-by-step explanation:
The different sets of initials can be formed if every person has one surname (i.e., last name) and either one or two given names (i.e., a first name, or a first and middle name) is 15600.
There are 26 possible letters, each set of initials would have 3 letters in it, order doesnt matter, i.e. ABC does not equal ACB. So type in 26P3 on your calculator (P=permutation).
15600.
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F(x)=(5x+1)(4x−8)(x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 5, x, plus, 1, right parenthesis, lef
andrey2020 [161]
Answer:
Step-by-step explanation:
Given
The zeros of the polynomial function are the point where the function f(x) equals zero.
If abc=0, then a=0 or b=0 or c=0
Therefore:
Answer:
The volume of the frustum is:
which corresponds to the third answer shown in the list of options
Step-by-step explanation:
The image can be interpreted as an original tall cone of height 6.4 plus 6.8 (13.2) that was divided into two parts by chopping the smaller upper cone, and leaving the frustum (the volume of which we need to find). So, to estimate the volume of this frustum, knowing the general formula for the volume of a cone:
(where B is the area of the cone's base, and h its height)
we could calculate the volume of the larger cone, and subtract from it the volume of the upper smaller one.
For the area of the cone's base, recall call also that the area of a circle of radius R is given by: , and therefore the formula for the volume of the cone can be written as:
So, now the volume of the larger cone is:
The volume of the smaller cone:
Therefore, the difference becomes:
This is the volume of the frustum:
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data below :
x : 89.3 68.6 32.7 37.3 39.7 46.7 66.1 79.4 66.4 52.1 47.3 64.4 53.7 63.4 46.2 63.0 92.1 57.6
Mean(m) = ΣX / n
ΣX = 1066 ; n = number of observations = 18
Mean(m) = 1066 / 18
Mean = 59.22
Standard deviation (σ) :
Using the online standard deviation calculator :
σ = √(Σ(x - m)²/n-1)
σ = √264.198395
σ = 16.72
The mean amount poured into a glass for the 18 samples is 59.22 while the variation in the data samples from the mean value is 16.72.
typical amount poured into a short, wide glass is 19.7 mL. A typical deviation from the mean amount poured is_____mL.
(59.22 - 19.7) mL = 39.52mL
Mean amount poured into a tall slender glass = 51.283
Mean (short wide glass) = 59.22mL
Mean (tall slender glass) = 51.283mL
Short wide glass > tall slender glass