Answer:
1. 14 cm
2. 20.4 cm
3. 24 - w
Step-by-step explanation:
Let's start with the last question, as it'll make answering the previous two a lot easier. In the 3rd question, we are asked to create a formula to find the length of a given rectangle, using its given perimeter of 48 centimeters and width of 
centimeters.
Therefore, let the length of the rectangle be 
, we can construct the following equation:
Now we have a formula that defines our length, if given the width of the rectangle. The only thing from here on out is to substitute the given widths to the formula we just found.
1. 
, therefore, 
.
2. 
, therefore, 
.
Answer:
For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis: 
And for this case we should use a righ tail test based on the alternative hypothesis.
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And for this case we should use a righ tail test based on the alternative hypothesis.
Step-by-step explanation:
m<POR = 90°
=>m<POQ+m<QOR=90°
=>x+37°=90°
x=90°-37°=53°
option B
Answer:
158⁰is the answer so follow me
It is A because y=20x-5 and so it goes up and to the right
