Answer:
Step-by-step explanation:
x-the original price
y- the discounted price
y= the original price - 25 % discounted from x = x- (.25*x) = x( 1-.25) = .75x
equation is y= .75x
The equation should only be in the first quadrant because the prices can only be positive numbers.
If a number is positive, Leila's theory that 75% of a number will always be greater than 50% of another number is <em>true</em>;<em> </em>however, if both numbers are negative, or if the number of which she finds 50% is much greater than the number of which she finds 75%, Leila's theory could be incorrect.
This inequality shows that Leila is correct:

(which simplifies to

)
This inequality shows that Leila is incorrect:

(which simplifies to

)
Hope this helps!
Answer: a. $128.125
Step-by-step explanation:
The standard error of the mean is given by :
, where
= population standard deviation , n= sample size.
Given: 
n= 256
Then, the standard error of the mean:-

Hence, option a. is correct.
Answer:
m JIK = 122°
Step-by-step explanation:
HERE, L || M
So, m JIK = m GFI
( since they are corresponding angles pair )
so, m JIK = 122°
Answer: 8.37 in³
Step-by-step explanation:
Given the following :
Shape of icre cream scoop = sphere
Radius (r) = 1 inch
Volume of a scoop of icecream = volume of sphere :
4/3πr³
(4/3) × 3.14 × 1³
1.333 × 3.14 × 1
= 4.1867 in³
Hence, the volume of 2 scoops of ice cream will be :
2 × ( volume of a scoop of ice cream)
(2 × 4.1867) in³
= 8.37 in³