Answer:
y = 
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)
m = 
= , hence
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (1, 5 ), then
5 = + c ⇒ c = 5 - =
y = x + ← in slope-intercept form
Answer:
$22.50
Step-by-step explanation:
25% of $30 is 22.5
Answer
1) Relative frequency of prefering cold mocha amongst mocha drinkers = 0.32
2) Relative frequency of prefering a latte amongst hot coffee drinkers = 0.22
3) Type of coffee that has the highest percentage of people who prefer it cold = Regular
Explanation
1) Relative frequency of prefering cold mocha amongst mocha drinkers is given as
Relative frequency
= (Number of mocha drinkers who prefer it cold) ÷ (Total number of mocha drinkers)
Number of mocha drinkers who prefer it cold = 12
Total number of mocha drinkers = 12 + 25 = 37
Relative frequency = 12 ÷ 37 = 0.32
2) Relative frequency of prefering a latte amongst hot coffee drinkers is given as
Relative frequency
= (Number of latte drinkers who prefer it hot) ÷ (Total number of hot coffee drinkers)
Number of latte drinkers who prefer it hot = 19
Total number of hot coffee drinkers = 11 + 25 + 19 + 30 = 85
Relative frequency = (19/85) = 0.22
3) Percentage of people who prefer cold coffee for each coffee type
Regular
(17/28) = 60.7%
Mocha
(12/37) = 32.4%
Latte
(20/39) = 51.3%
Cappuccino
(27/57) = 47.4%
Regular coffee drinkers have the highest percentage of drinkers who prefer it cold.
Hope this Helps!!!
Answer:
b = 1
Step-by-step explanation:
8 = b - 1 + 8b
<em>combine like terms</em>
8 = 9b - 1
<em>add 1 to both sides of the equation</em>
<em>8 + 1 = 9b - 1 + 1</em>
<em>8 + 1 = 9b</em>
9 = 9b
<em>divide both sides of the equation by 9</em>
9/9 = 9b/9
1 = b
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