Calculate the value of z and its probability, since with this we can know how likely it is that this will happen.
We have that the mean (m) is equal to 8.3, the standard deviation (sd) 1.2 and the sample size (n) = 15
They ask us for P (x =7.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (7.2 - 8.3) / (1.2 / (15 ^ (1/2))
z = -3.55
With the normal distribution table (attached), we have that at that value the approximate probability is:
P (z = -3.55) = 0.0001
The probability is 0.01 %
This affirms that the students do not sleep what the study says because the probability of this happening according to the survey is almost nil.
Answer:
<em>Respuesta: B</em>
Step-by-step explanation:
<u>Patrones de secuencia</u>
Consiste en una serie de elementos conectados entre sí por una regla fija, de tipo numérica, lógica o de razonamiento.
La primera figura de la imagen muestra un rectángulo con un círculo sin rellenar dentro. La segunda figura muestra dos cambios claramente visibles:
* La figura externa ahora es interna y viceversa.
* La figura interna estaba sin relleno y ahora lo tiene
La tercera figura muestra una cruz con un círculo sin rellenar dentro. Si aplicamos la misma regla, la siguiente figura debería tener:
* Una cruz dentro de un círculo
* La cruz debe estar rellena
Sólo la figura B cumple con estas condiciones.
Respuesta: B
The solution set to F(x)=x^4+2 using the set of domains are 3, 18, 83 and 258
<h3>Function and values</h3>
Functions are way by which the domain of X is written in terms of the codomain Y.
Given the function below;
F(x)=x^4+2
Using the list of domains given as {-2, -1, 0, 1, 2}
Substitute the domains to determine their corresponding co domains
f(-1) = (-1)^4 + 2
f(-1) = 1 + 2
f(-1) = 3
f(-2) = (-2)^4 + 2
f(-2) = 16 + 2
f(-2) = 18
f(-3) = (-3)^4 + 2
f(-3) = 81 + 2
f(-3) = 83
f(-4) = (-4)^4 + 2
f(-4) = 256 + 2
f(-4) = 258
Hence the solution set to F(x)=x^4+2 using the set of domains are 3, 18, 83 and 258
Learn more on function and values here: brainly.com/question/10439235
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Answer:
tan(α) = 1/tan(90°-α)
Step-by-step explanation:
The tangent of one is the reciprocal of the tangent of the other.
__
In a right triangle, ...
tan = opposite/adjacent
For the two complementary acute angles in such a triangle, opposite and adjacent are swapped. That is the tangent of one is the inverse of the tangent of the other. (That inverse is also known as the cotangent.)
tan(α) = cot(90°-α) = 1/tan(90°-α)
