There are 9 number cards from 2 to 10 in a deck of cards.
(2-10) has one 9
(2-10) has one 9
(2-10) has one 9
(2-10) has one 9
There are 4 nines in a deck of 52 cards. We know that 4 x 9 = 36.
The chance or probability of taking out a 9 is (36/52).
Reducing this fraction to the lowest terms we get 9/13.
Answer:

Step-by-step explanation:
We are given the following information in the question:
Percentage of of the diners who make reservations don't show up = 3%
Number of reservations = 83
Thus, we are given a binomial distribution with n = 83 and p = 0.97


Around 81 people can be expected to show up.

The standard deviation of this distribution is 1.56

Step-by-step explanation:

When x = -1
Substitute x = -1 into y = 2x
y = 2(-1)
y = -2
( -1, -2)
When x = 3
Substitute x = 3 into y = 2x
y = 2(3)
y = 6
( 3, 6)
The width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.
<u>Explanation:</u>
Given:
Two rectangles are proportional.
Length and width of 1 rectangle = 6 : 8
Dimensions of the other rectangle = ?
Let length and width of the other rectangle be x : y
According to the question:


So, the width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.
Answer: y=-3x/4 -1/4
Step-by-step explanation:
y=mx+b
-1=-3/4 * 1 +b
-1=-3/4 + b
(-1=-3/4 + b)*4
-4=-3+4b
4b=-1
b=-1/4
y=-3x/4 -1/4