<u><em>Answer:</em></u>
Her hourly rate is $8.25
<u><em>Explanation:</em></u>
Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week
<u>We know that:</u>
There are 5 school days in a week
<u>We are given that:</u>
She works for 3 hours a day each of those days
<u>Therefore:</u>
Total number of hours worked = hours worked daily * number of days
Total number of hours worked = 3 * 5 = 15 hours in a week
<u>The equation used to calculate Tatianna's earnings is:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
<u>Now, we substitute with the givens to get the hourly rate as follows:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
123.75 = 15 * hourly rate
Hourly rate = $8.25
We assume data and prediction as question is incomplete
Answer and Step-by-step explanation:
Least squares regression line equations are used to model the relationship that exists between two variables, dependent and independent variables. The equation has the form y=a+bx where y is the dependent variable and x is independent variable, a is a constant and is the y intercept and b is the slope of the line. This relationship is then used to predict future outcomes.
Given that data for 2004-2005 for the basketball players are :
James- 20 points
John- 30 points
Chris- 50 points
Dave-15 points
Donaldson- 32 points
Richard -40 points
We predict the scores/points for James (for example) for the following year using the equation of the regression line y=0.79x+1544
We substitute his points x=20 I'm the equation:
Y=0.79*20+1544
=1599.8
The predicted value is 1599.8
We are given with
dimensions of wheelbarrow = 2ft x 3ft x 1.5 ft
dimensions of truck = 11 ft x 8 ft x 6 ft
The volume of the wheelbarrow is 2(3)(1.5) = 9 ft3
The volume of the truck is 11(8)(6) = 528 ft3
70% of this is
528 ft3 (0.7) = 369.6 ft3
Dividing this by the volume of the wheelbarrow
369.6 ft3 / 9 ft3 = 41.07
He would need to use the wheelbarrow 42 times.
