An aquarium can be modeled as a right rectangular prism. Its dimensions are 14 in by 7 in by 4 in. If the aquarium contains 153
1 answer:
A right rectangular prism can be used to simulate an aquarium. Its measurements are 14 by 7 by 4 inches. If there are 153 cubic inches of water in the aquarium, There is a 61 % empty space.
<h3>What is volume?</h3>The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the aquarium is;
V=14 × 7 × 4 = 392 inch³
The % by which the container is empty is found as;
Hence, there is a 61 % empty space.
To learn more about the volume, refer to brainly.com/question/1578538.
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Answer:
a) 75
b) 4.33
c) 0.75
d) probability that no one in a simple random sample of 100 young adults owns a landline
e) probability that everyone in a simple random sample of 100 young adults owns a landline.
f) Binomial, with
g) probability that exactly half the young adults in a simple random sample of 100 do not own a landline.
Step-by-step explanation:
For each young adult, there are only two possible outcomes. Either they do not own a landline, or they do. The probability of an young adult not having a landline is independent of any other adult, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home.
This means that
(a) On average, how many young adults do not own a landline in a random sample of 100?
Sample of 100, so
(b) What is the standard deviation of probability of young adults who do not own a landline in a simple random sample of 100?
(c) What is the proportion of young adults who do not own a landline?
The estimation, of 75% = 0.75.
(d) What is the probability that no one in a simple random sample of 100 young adults owns a landline?
This is P(X = 100), that is, all do not own. So
probability that no one in a simple random sample of 100 young adults owns a landline.
(e) What is the probability that everyone in a simple random sample of 100 young adults owns a landline?
This is P(X = 0), that is, all own. So
probability that everyone in a simple random sample of 100 young adults owns a landline.
(f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline?
Binomial, with
(g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline?
This is P(X = 50). So
probability that exactly half the young adults in a simple random sample of 100 do not own a landline.
The height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.
<h3>What is a square pyramid?</h3>In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
We have a square pyramid.
Length of the pyramid = 23.4 in
The slant height of the pyramid = 93.2 in
From the figure:
Base length CB = DC = 23.4 in
In a right-angled triangle, BCD
Applying Pythagoras theorem:
DC² + CB² = DB²
23.4² + 23.4² = DB²
DB = 33.092 in
OB = (1/2)DB
OB = (1/2)33.092 = 16.546 in
In the right-angle triangle AOB, again applying Pythagoras theorem:
AO² + OB² = AB²
h² + 16.546² = 93.2²
AO = h (height of the square pyramid)
AB = slant height = 93.2 in
After calculating, we get:
h = 91.719 ≈ 91.72 in
Thus, the height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.
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