Answer:
In fact, the distance between the means is or 3.2 kg, over 6 times the larger ... Visually, this means the range of typical values does not overlap.
Step-by-step explanation:
In fact, the distance between the means is or 3.2 kg, over 6 times the larger ... Visually, this means the range of typical values does not overlap.
Answer:
The width is 20 inches, the length is 32 inches and the height is 15 inches.
Step-by-step explanation:
Let x inches be the width of the box. If the length of the box is 12 inches greater than its width, then the length of the box is x+12 inches. If the height of the box is 5 inches less than its width, then the height of the box is x-5 inches.
The volume of box is
![V=\text{length}\cdot \text{width}\cdot \text{height}\ in^3.](https://tex.z-dn.net/?f=V%3D%5Ctext%7Blength%7D%5Ccdot%20%5Ctext%7Bwidth%7D%5Ccdot%20%5Ctext%7Bheight%7D%5C%20in%5E3.)
Therefore,
![9600=x\cdot (x+12)\cdot (x-5).](https://tex.z-dn.net/?f=9600%3Dx%5Ccdot%20%28x%2B12%29%5Ccdot%20%28x-5%29.)
Solve this equation:
![x(x^2+12x-5x-60)=9600,\\ \\x^3+7x^2-60x-9600=0.](https://tex.z-dn.net/?f=x%28x%5E2%2B12x-5x-60%29%3D9600%2C%5C%5C%20%5C%5Cx%5E3%2B7x%5E2-60x-9600%3D0.)
The integer solutions of this equation can be among the divisors of -9600. The divisors of 9600 are:
![\pm1, \pm2, \pm3, \pm4,\pm5,\pm6,\pm8,\pm10,\pm12,\pm15,\pm16,\pm20,\pm24,\pm25,\pm30,\pm32,....](https://tex.z-dn.net/?f=%5Cpm1%2C%20%5Cpm2%2C%20%5Cpm3%2C%20%5Cpm4%2C%5Cpm5%2C%5Cpm6%2C%5Cpm8%2C%5Cpm10%2C%5Cpm12%2C%5Cpm15%2C%5Cpm16%2C%5Cpm20%2C%5Cpm24%2C%5Cpm25%2C%5Cpm30%2C%5Cpm32%2C....)
We can check all these divisors and see that x=20 is a solution, then using synthetic division
![x^3+7x^2-60x-9600=(x-20)(x^2+27x+480).](https://tex.z-dn.net/?f=x%5E3%2B7x%5E2-60x-9600%3D%28x-20%29%28x%5E2%2B27x%2B480%29.)
Since the quadratic factor has discriminant
we can state that the only solution is x=20 inches. The width is 20 inches, the length is 32 inches and the height is 15 inches.
We need the picture or is it just the question?
X=(y+7b)/(3m) is the correct answer
Answer:
which property is illustrated by the following statement?
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(7p) mn = 7p (mn)
a. communitive property of multiplication
b. associative property multiplication
c. inverse property of multiplication
d. communitive property of addition
2) using the formula r = \frac{d}{t}
t
d
, where d is the distance in miles, r is the rate, and t is the time in