Answer:
16
Step-by-step explanation:
Hope this helps sorry if I'm wrong
Answer:
3) 27 cubed
4) 72 cubed
5) 125 cubed
8) 27 cubed. 3 is the length, 3 is the width, and 3 is the height.
9) 72 cubed. 6 is the length, 3 is the width, and 4 is the height.
10) 125 cubed. 5 is the length, 5 is the width, and 5 is the height.
Step-by-step explanation
Here's what to show if your teacher requires for you to show your work.
3) 3 x 3 x 3 = 27
4) 6 x 3 x 4 = 72
5) 5 x 5 x 5 = 125
8) 3 x 3 x 3 = 27
9) 6 x 3 x 4 = 72
10) 5 x 5 x 5 = 125
These are the ones I'd suggest putting the up and down form on.
10) and 5) Also put 5 x 5 = 25. 4) and 9) Also put 6 x 3 = 18.
<em>2 3</em>
25 18
<u>x 5 </u> <u>x 4 </u>
125 72
Hoped this answered everything! Feel free to ask me if there's something I missed! :)
Answer:
The original price of an item less a discount of 20% is 0.8p where p is the original price
Step-by-step explanation:
Here, we want to write an algebraic expression that represents the original price of an item less a discount of 20%
Let the original price of the item be p
The meaning of the ‘less’ is that we are subtracting 20% of the price from the original price ;
So 20% of the price will be 20/100 * p = 20p/100 = p/5 = 0.2p
So let’s take this away from the original price p
That will be;
p - 0.2p = p(1-0.2) = 0.8p
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The first sample size is 
The first sample mean is 
The first standard deviation is 
The second sample size is 
The second sample mean is 
The second standard deviation is 
Generally the degree of freedom is mathematically represented as
![df = \frac{ [ \frac{s_1^2 }{n_1 } + \frac{s_2^2 }{n_2} ]^2 }{ \frac{1}{(n_1 - 1 )} [ \frac{s_1^2}{n_1} ]^2 + \frac{1}{(n_2 - 1 )} [ \frac{s_2^2}{n_2} ]^2 }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%20%5Cfrac%7Bs_1%5E2%20%7D%7Bn_1%20%7D%20%20%2B%20%5Cfrac%7Bs_2%5E2%20%7D%7Bn_2%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B1%7D%7B%28n_1%20-%201%20%29%7D%20%5B%20%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%20%5D%5E2%20%2B%20%5Cfrac%7B1%7D%7B%28n_2%20-%201%20%29%7D%20%5B%20%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%20%5D%5E2%20%20%7D)
=> ![df = \frac{ [ \frac{5.9^2 }{34 } + \frac{4.4^2 }{34} ]^2 }{ \frac{1}{(34 - 1 )} [ \frac{5.9^2}{34} ]^2 + \frac{1}{(34- 1 )} [ \frac{4.4^2}{ 34} ]^2 }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%20%5Cfrac%7B5.9%5E2%20%7D%7B34%20%7D%20%20%2B%20%5Cfrac%7B4.4%5E2%20%7D%7B34%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B1%7D%7B%2834%20-%201%20%29%7D%20%5B%20%5Cfrac%7B5.9%5E2%7D%7B34%7D%20%5D%5E2%20%2B%20%5Cfrac%7B1%7D%7B%2834-%201%20%29%7D%20%5B%20%5Cfrac%7B4.4%5E2%7D%7B%2034%7D%20%5D%5E2%20%20%7D)
=> 
Generally the standard error is mathematically represented as
=> 
=> 
From the question we are told the confidence level is 95% , hence the level of significance is
=> 
Generally from the t distribution table the critical value of at a degree of freedom of is
Generally the margin of error is mathematically represented as
=> 
=> 
Generally 95% confidence interval is mathematically represented as
=> 
=>
