Answer:
$2.24
Step-by-step explanation:
Since we are trying to find a percentage of something, we can multiply whatever we're trying to find a percentage from by 0.X where X is equal to the number of the percentage. So in this case it's 15%. We can multiply $14.90 by 0.15 and we get 2.23500. Since we cannot have 2.235 dollars, we must round up decimal places.
The tip would be 2 dollars and 24 cents. ($2.24).
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Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.
Answer:
option C
y = 2
Step-by-step explanation:
Given in the question,
a co-ordinate = (-2,2)
x = -2
y = 2
Equation of the straight line
y = mx + c
<em>here m = gradient of the line</em>
<em> c = y - intercept</em>
<em />
<h3>we know that gradient of the horizontal line = 0</h3>
plug value in the equation above
y = (0)x + 2
y = 2
This will be a little complex number...
assume 35 years ago, it cost x dollars
for now: x×
=25.25
solve it! :) maybe too difficult without a calculator
