To address this issue, the procedure below should be utilized:
1- The Law of sines can be applied as follows:
The unknown angle can be determined by: 180°-65°-45°=70°
- The <span>distance Jake travels to the store is:
30/Sin(70°)=x/Sin(45°)
x=22.57
- The distance Maddie travels to the store is:
</span>30/Sin(70°)=y/Sin(65°)
<span> y=28.93
- The difference calculated is: 6.36
Thus, the result shows that the difference is 6.36 m.</span>
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:
The response is "False."
Explanation:
In geometry, an area refers to the space that an object occupies. A filled area consists of lines that connect to create an "edge."
These connecting lines help define the shape or area of the object and are known as "snap points." Keep in mind that "polygons" are made up of line segments that connect at their endpoints to form a closed shape. Consequently, it must adhere to "snap points."
This clarifies the response.
Answer:
a. the class with the highest number of observations.
Step-by-step explanation:
The mode refers to the value within a dataset that appears most frequently. This indicates that it occurs with greater frequency than other values.
In a histogram, the modal class denotes the category that has the most observations, demonstrating that the variables in that category have a higher occurrence than those in others. Consequently, the answer sought is option a.