Answer:
0.0599
Step-by-step explanation:
There are four aces in a standard 52-card deck. If X=5, the first ace must be drawn exactly at the fifth pick, which means that the probability of X=5 is the probability of not getting an ace in the first four picks and getting an ace in the fifth pick:
The probability that X=5 is 0.0599
Subtract -16 on both sides then x=1
1. System B from System A by replacing one equation with itself where the same quantity is added to both sides
2. Yes, both system A and system B are equivalent and therefore has the same solution
<h3>How to prove the statements</h3>
System A
x − 4y= 1
5x + 6y= −5
System B
x = 1+4y
5x + 6y= −5
1. System B can be gotten from system A by
from the first equation of A
x − 4y= 1
Make 'x' subject of formula
x = 1 + 4y
This makes it equal to tat of system B
Thus, replacing one equation with itself where the same quantity is added to both sides
2. System A
x = 1 + 4y
5x + 6y= −5
System B
x = 1 + 4y
5x + 6y= −5
From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.
Learn more about linear equations here:
brainly.com/question/4074386
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Answer:
180 different combinations
Step-by-step explanation:
To find the number of different combinations possible, We first find the number of possibilities for each place, and then multiply all possibilities.
Number of possibilities for president: 5
Number of possibilities for vice-president: 6
Number of possibilities for secretary: 2
Number of possibilities for treasurer: 3
Number of different combinations: 5*6*2*3 = 180
(We can form 180 different groups of 1 president, 1 vice-president, 1 secretary and 1 treasurer)
Answer:
The median number of interceptions in 1998 is equal to the third quartile of 2008.
Step-by-step explanation:
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