Answer:
Standard error = 0.4
Step-by-step explanation:
Step 1
We find the Standard Deviation
The formula = √(x - mean)/n - 1
n = 15
Mean = 1.93 hours
= √(0- 1.93)² + (0-1.93)² +(0- 1.93)²+( 0- 1.93)²+ (1- 1.93)² + (1- 1.93)² +(1 - 1.93)² +(2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + (2 - 1.93)² + ( 2 - 1.93)² +(4 - 1.93)² +(4 - 1.93)² + (5 - 1.93)²/15 - 1
= √(3.737777776 + 3.737777776 + 3.737777776 + 0.871111111 +0.871111111 + 0.871111111 + 0.004444444445+ 0.004444444445 + 0.004444444445 + 0.004444444445 + 0.004444444445 + 1.137777778 + 4.271111112 + 4.271111112 + 9.404444446)/15 - 1
= √2.352380952
= 1.533747356
Step 2
We find the standard error
The formula = Standard Deviation/√n
Standard deviation = 1.533747356
n = 15
= 1.533747356/√15
= 1.533747356 /3.87298334621
= 0.39601186447
Approximately = 0.4
Therefore, the standard error is 0.4
1. $25.02
2. $13.75
I’m not sure about the last two, sorry!
Answer:
75cm²
Step-by-step explanation:
area of parallelogram= base*height
area=15*5=75cm²
Answer:
Step-by-step explanation:
Use FOIL method.
(2x - 10)(x + 3) = 2x*x + 2x*3 + (-10)*x + (-10)*3
= 2x² + 6x - 10x - 30 {Combine like terms}
= 2x² - 4x - 30
(x³ + 1)(x - 4) = x³*x + x³ *(-4) + 1*x + 1*(-4)
= x⁴ - 4x³ + x - 4
(2x - 10)(x +3) +(x³ +1)(x - 4) = 2x² - 4x - 30 + x⁴ - 4x³ + x - 4
Combine like term
= x⁴ - 4x³ + 2x² - 4x + x <u>-30 - 4 </u>
= x⁴ - 4x³ + 2x² - 3x - 34
