Answer:
a) 5xy + 9yz + 3zx + 5x - 4y
Step-by-step explanation:
→ (7xy + 5yz - 3zx) + (4yz + 9zx - 4y) + (-3xz + 5x - 2xy)
→ (7xy - 2xy) + (5yz + 4yz) + (-3zx + 9zx - 3xz) + (5x) + (-4y)
→ 5xy + 9yz + 3zx + 5x - 4y
Hence, option (a) is the correct answer.
Answer: A streetlight casts a shadow 15 feet long. At the same time, a 18-foot flag pole casts a shadow 10 feet long. How tall is the tree? | Socratic A tree casts a shadow 15 feet long.
I think the volume of the cone is 65.94yd because the radius is 3 and the height is 7 also 3 to the second power equals 9 then 3.14 multiplied by 9 equals 28.26 and finally 28.26 multiplied by 7/3 equals 65.94
V=3.14 x r^2 h/3
V=3.14 x 3^2 7/3
Answer:
6.7% of employees at Solar Systems, Inc. are younger than 30 years old
Step-by-step explanation:
The mean of ages of the employees at Solar Systems is 32.7 years
Mean = ![\mu = 32.7](https://tex.z-dn.net/?f=%5Cmu%20%3D%2032.7)
Standard deviation =![\sigma = 1.8 years](https://tex.z-dn.net/?f=%5Csigma%20%3D%201.8%20years)
We are supposed to find What percentage of employees at Solar Systems, Inc. are younger than 30 years old i.e.P(x<30)
So,![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![Z=\frac{30-32.7}{1.8}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B30-32.7%7D%7B1.8%7D)
Z=-1.5
Refer the z table for p value
So,p value = 0.0668
So P(x<30)=0.0668= 6.68% = 6.7%
So, 6.7% of employees at Solar Systems, Inc. are younger than 30 years old
Answer:
16 > 11
Step-by-step explanation:
7 + (16 - 7) = 3 + 8
7 + 9 = 3 + 8
16 = 3 + 8
16 ≠ 11
or
16 > 11