Answer:
<em>V = 16x² </em>
<em>Width = 12in</em>
<em>Height = 12in</em>
Step-by-step explanation:
Volume of the box is expressed as;
V = Length *Width * height
Given
Length = 16in
Width = x
Height = x
The volume of the box will be expressed as;
V = 16 * x * x
<em>V = 16x² (This gives the required equation)</em>
To get x:
We are given
V = 2304in³
Substitute;
2304 = 16x²
x² = 2304/16
x² = 144
x= √144
x = 12
<em>Hence the width and the height are both 12inches since they are the same.</em>
<em></em>
For the sma
Simple Interest = Principal * Interest Rate * Term
Total Amount = Principal + Simple Interest
<span>
<span>
</span><span><span>
# Principal Interest rate term Interest Total balance
</span><span> 1
<span> 100.00 </span>6% 1
<span> 6.00 </span>
<span> 106.00
</span></span><span> 3
<span> 100.00 </span>6% 2
<span> 12.00 </span>
<span> 112.00
</span></span><span> 5
<span> 100.00 </span>6% 3
<span> 18.00 </span>
<span> 118.00
</span></span><span> 7
<span> 100.00 </span>6% 4
<span> 24.00 </span>
<span> 124.00
</span></span><span> 9
<span> 3,000.00 </span>5% 3
<span> 450.00 </span>
<span> 3,450.00
</span></span><span>10
<span> 4,000.00 </span>6% 3
<span> 720.00 </span>
<span> 4,720.00
</span></span><span>11
<span> 10,000.00 </span>4% 3
<span> 1,200.00 </span>
<span> 11,200.00
</span></span><span>13
<span> 10,000.00 </span>6% 4
<span> 2,400.00 </span>
<span> 12,400.00
</span></span><span>14
<span> 10,000.00 </span>6% 5
<span> 3,000.00 </span>
<span> 13,000.00 </span>
</span></span></span>
Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Answer:
18
Step-by-step explanation:
12×1.5=18
its the same formula with rectangle cz if you combine both right angled triangle side its become a rectangle
