. The subsequent equation is
. By setting both equations equal, we can derive the following:
. Next, simplify:
. Then factor:
. Put x=0 or x=1 into the second equation to yield:
. Alternatively,
. Thus, the solutions are:
Answer:
A Type I error could occur if the test shows that the proportion is above 90%, while in reality, the actual proportion is 90%.
Step-by-step explanation:
Machines in a factory produce circular washers that meet a specific diameter.
The quality control manager routinely assesses samples of washers to ensure that more than 90% conform to the specified diameter.
Let p represent the proportion of washers that meet the specified diameter
Thus, Null hypothesis: p = 90%
Alternative Hypothesis: p > 90%
Now, a Type I error indicates the probability of rejecting the null hypothesis while it is actually true or, in simple terms, the likelihood of incorrectly rejecting a valid hypothesis.
Thus, based on our question, a Type I error would declare that the test convincingly indicates the proportion is over 90%, while in truth, it remains 90%.
Answer:
El valor de x es 4.
Explicación paso a paso:
Se indica que el triángulo MRN surge al doblar un triángulo equilátero por la mitad.
Esto sugiere que el triángulo equilátero original es MNO y que NR actúa como bisectriz perpendicular (una línea que divide un segmento en dos partes iguales formando un ángulo recto).
La longitud del lado del triángulo es
NO = NS + SM = 6 + 2 = 8
Dado que un triángulo equilátero tiene todos sus lados iguales y NR es la bisectriz perpendicular, se tiene que
RM = MO/2 = 8/2 = 4
El valor de x es 4.
