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.
The perimeter of △CDE is 9.66 units
<h3>Perimeter of a triangle</h3>
The perimeter of a triangle is the sum of the sides of the triangle.
Given the coordinate points C(4, -1), D(4, −5), and E(2, −3)
Determine the distance CD, CE and DE using the distance formula
CD = √(-5+1)²+(4-4)²
CD = √16+0
CD = √16
CD = 4units
CE = √(-3+1)²+(2-4)²
CE = √4+4
CE = 2.83 units
DE= √(-3+5)²+(2-4)²
DE = √8
DE = 2.83 units
Take the sum
Perimeter of triangle CDE = 4 + 2.83 + 2.83
Perimeter of triangle CDE = 9.66 units
Hence the perimeter of △CDE is 9.66 units
Learn more on perimeter of triangle here: brainly.com/question/24382052
#SPJ1
Answer:
Long diagonal: 12.12 yd
Short diagonal: 7 yd.
Step-by-step explanation:
As you can see, 4 righ triangles are formed.
The larger diagonal divides the angle ∠AFM=60° into two angles of 30° each.
Then, choose one the triangles that has the angles of 30°. The hypotenuse will be the side lenght of 7 yards, the long diagonal (D) will be twice the adjacent side and the short diagonal (d) will be twice the opposite side.
Then:
- Long diagonal:
- Short diagonal:
Answer:
Refer to the attachment. :)