
Add 7 to both sides

At the left hand side 7 will cancel 7
At the right hand side 7 will add up

Divide through by 2

simplify the fraction

Answer:
5
Step-by-step explanation:
d= √(5-1)^2+(1-4)^2
d= √4^2+(-3)^2
d= √16+9
d=√25
d=5
<h3>
System of equations.</h3>

Put (1) to (2):

Substitute the value of x to (1):

Solution:

Answer:
0
Step-by-step explanation:
The sorted data set is ...
1 2 3 3 5 7 8 9
The median is the average of the middle two numbers: (3+5)/2 = 4.
Replacing one of the 3s with a 1 makes the data set be ...
1 1 2 3 5 7 8 9
The average of the middle two numbers is (3+5)/2 = 4.
The median increases by 4 - 4 = 0.
Answer:
0.0181 probability of choosing a king and then, without replacement, a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of choosing a king:
There are four kings on a standard deck of 52 cards, so:

Probability of choosing a face card, considering the previous card was a king.
12 face cards out of 51. So

What is the probability of choosing a king and then, without replacement, a face card?

0.0181 probability of choosing a king and then, without replacement, a face card.