Answer:
CI = 21 ± 0.365
Step-by-step explanation:
The confidence interval is:
CI = x ± SE * CV
where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).
Here, x = 21.
The standard error for a sample mean is:
SE = σ / √n
SE = 3.2 / √510
SE = 0.142
The critical value is looked up in a table or found with a calculator. But first, we must find the alpha level and the critical probability.
α = 1 - 0.99 = 0.01
p* = 1 - (α/2) = 1 - (0.01/2) = 0.995
Using a calculator or a z-score table:
P(x<z) = 0.995
z = 2.576
Therefore:
CI = 21 ± 0.142 × 2.576
CI = 21 ± 0.365
Round as needed.
Answer:
1920
Step-by-step explanation:
Each time you multiply by to 6 times. 30 does not count as a year.
Total amount of fencing
= 4x + 3(3x + 1)
= 4x + 9x + 3
= 13x + 3
Responder:
10 (2ny- (x-y))
Explicación paso a paso:
Dada la expresión 10ny-10x + 10ny + 10y, para simplificar la expresión, se deben seguir los siguientes pasos;
Paso 1; Separa la expresión en términos similares
= 10ny-10x + 10ny + 10y
= (10ny + 10ny) - (10x + 10y)
Paso 2: Factoriza los valores comunes en ambos paréntesis
10ny (1 + 1) - 10 (x-y)
= 10ny (2) - 10 (x-y)
= 20ny - 10 (x-y)
Factoriza nuestro valor común en ambos términos:
= 10 (2ny- (x-y))
Answer:
He made Rs.500
He gave Rs.250 to the orphanage
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