This problem can be solved by using the binomial distribution.
p = 30% = 0.3 is the probability that a teacher was laid off.
q = 1 -p = 0.7 is the probability that a teacher was not laid off.
n = 16 is the sample size.
r = 7 is the expected number of teachers who were laid off
The probability that 7 out of 16 teachers were laid off is
₁₆C₇ p⁷q⁽¹⁶⁻⁷⁾ = 11440*(0.3⁷)*(0.7⁹) = 0.101 =10.1%
Answer:
The probability is 0.101 or 10.1%
Answer:
3 inches
Step-by-step explanation:
Given that the volume of the rectangular prism or a cylinder needs to be
cubic inches. The container being made is a rectangular prism with a height of
inches and length of
inches.
A rectangular prism is a polyhedron with six rectangular faces.
Therefore the required width (w) needed to produce a container with a volume of
cubic inches is given by:
volume of a rectangular prism = height * width * length
Substituting:
=
*
* w
258.75 = 11.5 * 7.5 * w
w = 258.75 / (11.5 * 7.5)
w = 3 inches
The required width is 3 inches
Answer:
7x^15yz
Step-by-step explanation:
7(x^14x)y · z
7(x^14+1)y · z
7x^15yz
The liters in the tank when it is filled to a height of 3.70 is 5,580 liters
The liters that needs to be added to 100% capacity is 480 liters
<h3>What is the volume?</h3>
A right circular cone is a three dimensional object has a flat circular base that tapers to a vertex. The volume of a right circular cone is the amount of space in the right circular cone.
Volume of a cone = 1/3(πr²h)
Where:
- π = pi = 3.14
- r = radius
- h = height
Volume of the right circular cone when its filled to a height of 3.70 = 1/3 x 3.14 x 3.70 x 1.20² = 5.58 m³
5.58 x 1000 = 5,580 liters
Volume of the right circular cone when it is full = 1/3 x 3.14 x 4 x 1.20² = 6.03 m³
6.03 x 1000 = 6030 liters
Liters that needs to be added to 100% capacity = 6030 liters - 5,580 liters = 480 liters
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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