This part of the plane is a triangle. Call it
. We can find the intercepts by setting two variables to 0 simultaneously; we'd find, for instance, that
means
, so that (4, 0, 0) is one vertex of the triangle. Similarly, we'd find that (0, 5, 0) and (0, 0, 20) are the other two vertices.
Next, we can parameterize the surface by
so that the surface element is
Then the area of
is given by the surface integral
Answer:
We accept the null hypothesis and the population mean is $120.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100
Sample mean, 
= $120
Alpha, α = 0.01
Sample standard deviation, s = $25
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
p-value one tail= 0.024
p-value two tail= 0.048
Conclusion:
Since the p-value for two tailed test is greater than the significance level, we fail to reject the null hypothesis and accept it.
Thus, the population mean is $120.
Answer: 23 y 24 ( ó -23 y -24)
Step-by-step explanation:
Dos números consecutivos se escriben como:
n y (n + 1)
done n es un numero entero.
Entonces "El producto de dos números consecutivos es 552"
Se escribe como:
n*(n + 1) = 552
n^2 + n = 552
n^2 + n - 552 = 0
Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.
Las dos soluciones son.
n = (-1 - 47)/2 = -48/2 = -24
n = (-1 + 47)/2 = 46/2 = 23
Si tomamos la primer solución, n = -24
Entonces los dos números consecutivos son:
n = -24
(n + 1) = -23
Si n = 23 entonces
n + 1 = 24
Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.
12x50=600 so 60 left
15x50=750 so 60 left
so the administration fee is 60
The sound intensity of the Pile Driver is 39.5
or nearly 40 times the sound intensity of the jackhammer.
Given with Loudness in dB for pile driver = 112 dB
We have to convert it in terms of sound intensity.
First,
112dB/10 = 11.2
Then we'll use this as exponent of 10
(10)^(11.2) = 1.5849 * 10 ^ 11
Then use the equation of Watts per square meter to find the intensity:
I / (10^-12 W/m^2) =1.5849 * 10 ^ 11
I = sound intensity = 0.158
Then compare:
Sound intensity of Pile Driver/ Sound intensity of Jackhammer
(0.158) / (0.004)
= 39.5
or nearly 40 times the jackhammer.
