Considering the situation described, we have that:
- The appropriate null hypotheses is
.
- The appropriate alternative hypotheses is
.
<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:
.
At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:
More can be learned about hypotheses tests at brainly.com/question/26454209
Pi(
) is the ratio of circumference to diameter for any circle.
Perimeter is the distance around a circle.
Circumference of circle 
.
Perimeter of circle 
What is circle ?
A circle is a spherical shape without boundaries or edges.
A circle is a closed, curved object with two dimensions in geometry.
Consider two small arcs AB and CD of two circles of radii x and y units, both of which make an angle of measure θ at the centers P and Q respectively.
For smaller values of θ, the arc length AB is almost equal to the length of the line segment 
. Similarly, arc CD ≅ 
.
Using the SAS rule of triangle similarity, we can say that APB and CQD are similar triangles because their angles are the same and their ratios are AP: PB = CQ: QD = 1: 1. So, it stands to reason that AB: AP = CD: CQ.
Circumference = 
diameter or circumference = 2 radius if this constant equals some value.
So it was proved.
Learn more about Circle click on this:
brainly.com/question/24375372
#SPJ13
Answer:
78 cm²
Step-by-step explanation:
since all sides are congruent you multiply the one measurement 6 times,so you do 13 × 6 equals 78
Answer:
9 ft
Step-by-step explanation:
Let's begin with the formula for the volume of a square pyramid. If s is the base length, then the area of the base is s^2. The volume of the pyramid is then V = (1/3)(base area)(height). We know the volume and the base length (s), and want to find the height. Solving V = (1/3)(base area)(height)
for height, we get:
3V = (base area)(height), or
3V
---------------- = height
base area
Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:
3(75 ft^3) 9 ft
height = ------------------ = ----------------- = 9 ft
25 ft^2 1
1: Identify the angle.
<em>The following angle is a 90.</em>
2: Set up the equation.
<em>x + (3x + 10) = 90</em>
3: Combine like terms.
<em>4x + 10 = 90</em>
4: Solve for x.
<em>4x + 10 = 90</em>
<em> -10 = - 10</em>
<em>--------------------------</em>
<em>4x = 80</em>
<em>------------------</em>
<em>4 4</em>
<em>x = 20</em>
Your answer is x = 20.
Hope this helps! Have a good day/night! c:
