Answer:
a) Null hypothesis:
Alternative hypothesis:
b) 
(1)
Where 
c) 
d) In this scenario, we notice that 
thus the conclusion for this case would indicate
Step-by-step explanation:
Information provided
denote the number of men possessing smartphones
signify the number of women possessing smartphones
group of men sampled
group of women sampled
symbolize the proportion of men with smartphones
symbolize the proportion of women with smartphones
denote the pooled estimate of p
z would denote the test statistic
signify the value
Part a
The objective is to evaluate if there is a disparity in smartphone ownership between men and women; the hypothesis statements would be:
Null hypothesis:
Alternative hypothesis:
Part b
The statistic relevant to this case is expressed as:
(1)
Where
Part c
By substituting the provided information, we find:
Part d
In this instance, it is evident that thus the conclusion for this case would seem
Answer:
∠ R 
90°
Explicación paso a paso:
Dado que en el triángulo RST
Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.
En un triángulo, la suma de los tres ángulos es 180°
Por lo tanto, si un ángulo mide 90°, la suma de los otros dos debe ser igual a 90°
Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.
Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.
De lo anterior, se concluye que
Para,
∵ ∠ R = 120°, por lo tanto es mayor que 90°.
Es decir, ∠ R 90°
Respuesta
Answer: CI = (0, 8)
Step-by-step explanation: The confidence interval for the difference in means is given as
Lower limit
= (x1 - x2) + margin of error
Upper limit
= (x1 - x2) - margin of error
Where x1 - x2 = 8 and the margin of error = 8
For the lower limit,
= 8 - 8 = 0
For the upper limit
= 8 + 8 = 16
Thus, CI = (0, 8)
Answer:
Step-by-step explanation:
Aligning each vocabulary term with its relevant example:
(1). All Americans = f. Population (a collective of items or subjects studied, e.g., residents of an area, the number of vehicles in a city, or employees in a workplace)
(2). The percentage of all Americans who strongly believe prisoners with life sentences who develop Alzheimer's should be released = c. Parameter (the figure summarizing a characteristic of a population)
(3). The percentage of the 85 surveyed Americans who strongly feel that prisoners with life sentences who have Alzheimer's should be released = d. Statistic (the characteristic of a sample that corresponds to a population parameter used for statistical inference)
(4). The responses being 'Strongly Agree', 'Agree', 'Disagree', or 'Strongly Disagree' = b. Variable (any measurable quality or characteristic)
(5). The 85 individuals surveyed = e. Sample (a subset of a population chosen based on certain criteria)
(6). The array of responses provided by the 85 participants = a. Data (the collected pieces of information meant for analysis)
Answer:
The term 6x should actually be 6x²
Step-by-step-explanation:
The illustration referenced, which depicts the multiplication of the trinomial with the binomial, is provided in the image below.
To identify where Chin's multiplication went wrong and to establish the correct expression, we'll analyze each multiplication performed. Therefore, we have:
3x*x² = 3x³
3x*2x = 6x² (the mistake occurred here, as Chin recorded it as 6x in the chart)
3x*4 = 12x
2*x²=2x²
2*2x = 4x
2*4 = 8
Thus, the term 6x should indeed be corrected to 6x²
