Answer:
√111 lie between 10 and 11
Step-by-step explanation:
In order to calculate betwwen which values does √111 lie we would have to make the following calculation:
If we calculate 10∧2, the result is=100
If we calculate 11∧2 the result is=121
Therefore, according to that calculations we can be secure that the most certain options of would be that the √111 would be 10<√111<11
Therefore, √111 lie between 10 and 11
The answer & explanation for this question is given in the attachment below.
The number of aces in the first game and the number of spades in the 5th game follow a Hypergeometric Distribution while the number of games receiving at least one ace can be modeled by a Binomial distribution. The event of all cards being from the same suit can be thought of as a Uniform distribution.
a) The number of aces you get in the first game follows a Hypergeometric Distribution. In such a distribution, you are drawing cards without replacement. The parameters are N=52 (the population size), K=4 (the number of success states in the population i.e., the number of aces in a deck), and n=13 (the number of draws).
b) The number of games in which you receive at least one ace can be modeled by a Binomial distribution. Each game you play (out of 50) is a single trial, with the probability of success (getting at least one ace) being the same for every trial. The parameters are n=50 (the number of trials/games) and p (the probability of getting at least one ace).
c) The likelihood of all your cards being from the same suit in a game is heavily reliant on chance, can be modeled as a Uniform distribution given its rare occurrence. Essentially, the parameters would be minimum = 0 and maximum = 1. However, determining the parameters would require calculation of the specific probabilities, which is complex due to the nature of the game.
d) The number of spades you receive in the 5th game also follows a Hypergeometric distribution, similar to the situation in the first game. The parameters in this case are N=52, K=13 (number of spades in a deck), and n=13 (the number of drawn cards).
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Answer:
We have 300 edges and 200 vertices
Step-by-step explanation:
A prism is basically a 2D shape which extends into three dimensions. Thus, it has two end faces, and one face for each side on the original shape.
In addition to the two 100-sided polygons at top and bottom, the prism will also have 100 rectangular faces.
We will solve this by Euler’s formula which ks:
V - E + F = 2
where;
V is the number of vertices (corners),
E is the number of edges
F is the number of faces (of any polyhedron).
Number of vertices is 100 surrounding the top while it's 100 at the bottom. So total V = 100 + 100 = 200 .
The number of edges is 100 at the top, and 100 at the bottom. Also an additional 100 separating the hundred vertical faces.
Total number of edges is;
E = 100 + 100 + 100 = 300.
Thus, we have 300 edges and 200 vertices
B. 9 - 2
C. y/9 = 3
D. 7 + y
Output (y) 7 4 1 −2
A It is a linear function because there is a constant rate of change in both the input and output values.
B It is a nonlinear function because there is a constant rate of change in both the input and output values.
C It is a linear function because the input values are decreasing.
D It is a nonlinear function because the input values are increasing.
Answer:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation: I took the test
ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
87 gallons
Step-by-step explanation:
5 gallons: 3 weeks = x gallons: 52 weeks
5/3 = x/52
3x = 260
x= 86.6, about 87 gallons
Find all solutions to the equation
7 sin^2x - 14 sin x + 2 = -5