Answer:
$64.44
Step-by-step explanation:
To find the amount for the tip, multiply $53.70 by 20%.
First, change 20% to a decimal by moving the decimal left two places, or dividing 20 by 100.
20% = 0.2 as a decimal
Now you can multiply to find the tip.
$53.70 x 0.2 = $10.74
Finally, add the tip to the amount of the bill.
$53.70 + $10.74 = $64.44
Answer: Predicted level of social skill will be 46
Step-by-step explanation:
For a linear regression; the general equation is in the form;
y = mx + c
Where is the predicted value or variable
m = slope or gradient (regression coefficient )
c = intercept which is constant (this is where the line of best for crosses the y-axis.
y = predicted value
x = independent variable
Given the following:
Regression coefficient (m)= 3
Regression constant (c)= 16
Score(x) = 10 (independent variable)
From:
y = mx + c
y = 3(10) + 16
y = 30 + 16
y = 46
Predicted level of social skill will be 46
Answer:
x - 53
——————
8
Step-by-step explanation:
STEP
1
:
x + 3
Simplify —————
8
Equation at the end of step
1
:
(x + 3)
——————— - 7
8
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 8 as the denominator :
7 7 • 8
7 = — = —————
1 8
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x+3) - (7 • 8) x - 53
——————————————— = ——————
8 8
(h, k) is the vertex, (9, -8).
h = 9
k = -8