Step-by-step explanation:
The equation for the best fitting line is y = 2.599x + 105.08. When x is set to 20, the predicted height becomes y = 157.06. However, the actual height recorded is 160 cm, therefore, the residual is calculated as:
160 cm − 157.06 cm = 2.94 cm
Response:
Based on the anticipated number of individuals completing the form to claim the refund, the company ought to foresee its net profit decreasing to:
- $174.6 per computer tablet.
Detailed explanation:
Initially, the profit per tablet is $180, but after initiating the rebate program, it is expected that 18% of purchasers will fill out the forms and obtain the VISA card, which will lower the profit as demonstrated below:
- Calculation of the reduced benefit for 18% of computer tablets = original benefit - refund amount.
- Reduced benefit for 18% of tablets = $180 - $30 = $150
From here, we find that 18% of tablets will yield a benefit of $150, while the other 82% will maintain a benefit of $180. To ascertain an overall figure for the benefit, we must compute it as follows:
- Total benefit = Percentage of reimbursed tablets * Benefit of reimbursed tablets + Percentage of non-reimbursed tablets * Benefit of non-reimbursed tablets.
- Overall profit = 18% * 150 + 82% * 180
- Overall profit = $174.6
Thus, after the $30 rebate on 18% of the tablets, the total benefit amounts to $174.6.
The co-payment for his doctor visits totals:
10 x 18 = $180.
For his physical therapy sessions, the co-payment amounts to:
10 x 20% x 150 = $300.
When you sum both co-payments, it totals $480.
The numerical variables in this scenario include:
A. Speed
D. GForce
E. Height
G. Duration
H. Numinversions
J. Length
In detail:
A method to distinguish quantitative from qualitative variables is assessing if mathematical calculations on these variables are relevant.
When it is applicable, it indicates a quantitative variable.
For instance, even though binary variables can be expressed as 0 and 1, they are still considered qualitative variables.
The numerical variables in this case are:
A. Speed
D. GForce
E. Height
G. Duration
H. Numinversions
J. Length
They will all be expressed in numerical terms where mathematical operations are meaningful.
que representa la recta en forma punto-pendiente.
El punto dado es (-4,-6) y la pendiente m está indicada en 
.
Para identificar el gráfico, se calculan las intersecciones con los ejes:
El punto de intersección con el eje y es (0, -3), que es el valor de y cuando x es 0.
El punto de intersección con el eje x es (4, 0), el valor de x cuando y es 0.
Utilizando una herramienta para graficar, se observa el gráfico en la figura adjunta.
