Answer:Yes
Step-by-step explanation:
The value of n which makes the expression true is - 9
Given the expression : 4(0.5n-3)=n-0.25(12-8n)
The value of n which makes the expression true can be obtained by solving for n ;
4(0.5n-3)=n-0.25(12-8n)
Open the bracket :
2n - 12 = n - 3 + 2n
Collect like terms :
2n - 2n - n = - 3 + 12
-n = 9
Divide both sides by - 1 to isolate n
Hence ;
n = - 9
The value of n which makes the expression true is - 9
Answer:
1335cm³
Step-by-step explanation:
The question above says that,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?
Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.
And we were given the new dimensions which are;
12.5cm wide
6.2cm deep and
30cm high
Apply this given figures in the formula above and we have:
V = 12.5 × 6.2 × 30
= 4185cm³( this is the volume of the box)
Therefore,the difference in volume between the new box and the old box is
4185 - 2850 = 1335cm³
Answer is in the file below
tinyurl.com/wpazsebu
Answer and Step-by-step explanation:
First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.
<u>Volume formula of Sphere</u>
V = 
<u>Substitute 1 in for r</u>
= Volume
<u>Finding the Height of a Cone</u>
Volume formula for Cone: 
<u />
<u>Solve for </u><u><em>h</em></u>
Multiply both sides by 3, then divide by pi and r^2.

<u>Plug in the volume and the radius.</u>

<u>Simplify</u>

h ≈ 4
<u>4 is approximately the height.</u>
<u></u>
<u></u>
<u><em>#TeamTrees #PAW (Plant And Water)</em></u>
Answer:
The probability that at least two homeowners will set their switches to the same code is 100%.
Step-by-step explanation:
Consider the provided information.
The total number of code can be set with 0 or 1 is:
2×2×2×2×2×2×2=128
There are 128 different codes.
The probability that code is unique is 1/128
Now, the probability that all codes are unique is:
![[\frac{1}{128}]^{150}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B128%7D%5D%5E%7B150%7D)
Hence, the probability that all the codes are not unique is:
![1-[\frac{1}{128}]^{150} \approx 1](https://tex.z-dn.net/?f=1-%5B%5Cfrac%7B1%7D%7B128%7D%5D%5E%7B150%7D%20%5Capprox%201)
Because the value of
is very small
As they can set 128 different codes and there are 150 homes. So, at least two homeowners will set their switches to the same code is 100%.
Hence, the probability that at least two homeowners will set their switches to the same code is 100%.