y = 1.4x - 4.8
the equation of a line in ' slope - intercept form ' is
y = mx + c ( m is the slope and c the y- intercept )
the partial equation is y = 1.4x + c
to find c, substitute (2, - 2) into the partial equation
- 2 = 2.8 + c ⇒ c = - 2 - 2.8 = - 4.8
y = 1.4x - 4.8 is the equation in slope- intercept form
Volume = length * width * height
Each asterisk * refers to the multiplication symbol
The volume of the cube is equal to the length times width times height
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Example:
Consider a cube that has length, width and height each equal to 4 cm
Volume = length * width * height
Volume = (4 cm) * (4 cm) * (4 cm)
Volume = (4*4*4) cubic cm
Volume = 64 cubic cm
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Another example:
We have a rectangular prism that has the following dimensions
length = 4 ft
width = 3 ft
height = 5 ft
Computing the volume gets us:
Volume = length * width * height
Volume = (4 ft) * (3 ft) * (5 ft)
Volume = (4*3*5) cubic ft
Volume = 60 cubic ft
Answer:
Step-by-step explanation:
Collect like terms and calculate the sum
The veretx is normally the minimum value
hack:
for f(x)=ax²+bx+c
the x value of the vertex is -b/2a
so
f(x)=1x²-16x+71
x value is -(-16)/(2*1)=16/2=8
find f(8) to find y value of vertex
f(8)=8²-16(8)+71
f(8)=64-128+71
f(8)=7
the vertex is (8,7)
the minimum value is 7
Answer:
66.48% of full-term babies are between 19 and 21 inches long at birth
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean length of 20.5 inches and a standard deviation of 0.90 inches.
This means that 
What percentage of full-term babies are between 19 and 21 inches long at birth?
The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then
X = 21
has a p-value of 0.7123
X = 19
has a p-value of 0.0475
0.7123 - 0.0475 = 0.6648
0.6648*100% = 66.48%
66.48% of full-term babies are between 19 and 21 inches long at birth
