Group and factor/undistribute
(x^2y^3-2y^3)+(-2x^2+4)
(y^3)(x^2-2)+(-2)(x^2-2)
see the (x^2-2) is common term so undistribute
(x^2-2)(y^2-2)
last one
Answer:
7.5 = 8
Step-by-step explanation:
Step 1:
30/100=0.3
Step 2:
0.3 x 25 = 7.5
Round: 8
Answer:
3/5
Step-by-step explanation:
sinA = opp/hyp
= 21/35
= 3/5
Answer:
The area that she painted = 896 mm^2
Step-by-step explanation:
Given:
The given figure is a pyramid with square base.
Here we need to find the surface area of the figure that need to be painted.
Surface area of a square pyramid = (S×S) + 2×S×L square.units
Where, S = side of the base L = slant height of the pyramid.
Now we have to plug in the given values.
Here S = 14, L =25
Plug in these values into the formula
= (14*14) + 2*14*25
= 196 + 700
= 896 mm^2
The area that she painted = 896 mm^2
Hope this will helpful.
Thank you.
Answer: 99.51%
Step-by-step explanation:
Given : A survey found that women's heights are normally distributed.
Population mean : 
Standard deviation: 
Minimum height = 4ft. 9 in.=
Maximum height = 6ft. 2 in.=
Let x be the random variable that represent the women's height.
z-score : 
For x=57, we have

For x=74, we have

Now, by using the standard normal distribution table, we have
The probability of women meeting the height requirement :-

Hence, the percentage of women meeting the height requirement = 99.51%