Let x = number of adult tickets sold
Let x-53 = number of student tickets sold
x + x -53 = 697
2x - 53 = 697.
Add 53 to both sides to get:
2x = 750
Divide both sides by 2 to get:
x = 375
375 adult tickets were sold.
Answer:
Yes, the value 1411.8 cm³ is significantly high.
Step-by-step explanation:
Consider the provided information.
The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.
The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:
The range rule of thumb identifying significant values are as.
Significantly low values are μ-2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2-2(125.3)=860.6
Significantly high values are μ+2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2+2(125.3)=1361.8
The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.
Hence, Yes, the value 1411.8 cm³ is significantly high.
He doesn't have a positive number. Add $45 and $112 together and it exceeds $79
Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,
![r=\dfrac{8}{2}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B8%7D%7B2%7D)
![r=4](https://tex.z-dn.net/?f=r%3D4)
So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:
![B=\pi r^2](https://tex.z-dn.net/?f=B%3D%5Cpi%20r%5E2)
Where, B is the base area and r is the radius.
![B=\pi (4)^2](https://tex.z-dn.net/?f=B%3D%5Cpi%20%284%29%5E2)
![B=16\pi](https://tex.z-dn.net/?f=B%3D16%5Cpi%20)
So, the base area is
square inches.
The volume of the cylinder is:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
![V=Bh](https://tex.z-dn.net/?f=V%3DBh)
Where, r is radius, h is height, B is base area.
Putting
and
, we get
![V=(16\pi )12](https://tex.z-dn.net/?f=V%3D%2816%5Cpi%20%2912)
![V=192\pi](https://tex.z-dn.net/?f=V%3D192%5Cpi%20)
So, the volume is
cubic inches.
Therefore,
.
14/33 or in decimal form is 0.4242