Answer:
True
Step-by-step explanation:
That is the definition of composite function
Answer:
(-3.07, 11.07)
Step-by-step explanation:
Given that a sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used eighteen adult male volunteers. These volunteers were randomly divided into two groups of nine subjects each.
Group Group One Group Two
Mean 300.00 296.00
SD 8.00 6.00
SEM 2.67 2.00
N 9 9
The mean of Group One minus Group Two equals 4.00
standard error of difference = 3.333
df = 16
t = 1.2000
Margin of error = 3.3333* t critical = 3.3333*2.121
95% confidence interval of this difference: From -3.07 to 11.07
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
Answer:
x = 7
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
27x = 9 × 21 = 189 ( divide both sides by 27 )
x = 7
Ok, so if he walks 4 miles per 64 minutes, or 4 miles/64 min which will
reduce to 1 mile/ 16 min, then the numbers of miles he walks in a given
number of minutes would be
1/16 * number of minutes
The question states we represent miles with y and number of minutes with x, so...
y = 1/16x
So let's check it...
How many miles (y) in 64 minutes (x)
y = 1/16x
y = 1/16 * 64
y = 64/16 = 4 miles
Yep! It checks!
