Answer:
Lateral area=100 square inches
Step-by-step explanation:
It is given that the perimeter of the base of a pentagonal prism is 25 inches, therefore each sides of the pentagon will be of 5 inches.
Also, one of its lateral edge is 4 inches, therefore each lateral face has area which will be equal to=
=
square inches.
Since, there are 5 lateral faces of the pentagonal prism, therefore the lateral area of the prism will be: 
= 
square inches.
Answer:
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According to the given statement;
If P(A)=0.9, P(B)=0.1, and A and B are independent, P(A and B)=0.09
<h3>What is probability of event?</h3>
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other possible outcomes and the coin is fair, the odds of both the outcomes, "heads" and "tails," are equally likely to occur. As a result, the probability of either outcome is half.
<u>According to the given value;</u>
P(A) = 0.9
P(B) = 0.1
A and B independent;
We know that independent
P(A∩B) = P(A) · P(B)
= (0.9)*(0.1)
=0.09
P(A∩B) =0.09
hence, If P(A)=0.9, P(B)=0.1, and A and B are independent, P(A and B)=0.09
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The data in the table are not proportionate because 4 pounds cost 3.55, meaning each pound costs 0.8875 while 6 pounds cost 4.33, which is 0.72166667 per pound.
Answer: A - 30 cubes
B - Volume of prism = feet³
Step-by-step explanation: We are given that the dimensions of the rectangualr prism is,
Length = = feet
Width = 1 foot
Height = = feet
Thus, the volume of the prism = Length × Width × Height
i.e. Volume of the prism = × 1 × = feet³
Now, the side of the cube = foot each.
Volume of the cube = = feet³
