Answer: 0.670
Step-by-step explanation:
Given that :
Population mean (μ) = 11.5
Sample size, n = 22
Sample mean, x = 11.7
Standard deviation, s = 1.4
The test statistic ;
Tstat = (x - μ) / (s/√n)
Tstat = (11.7 - 11.5) / (1.4/sqrt(22))
Tstat = 0.2 / 0.2984810
Tstat = 0.6700594
Tstat = 0.670 (3 decimal places )
Answer:
0.5 ft^2
Step-by-step explanation:
The area in square inches is (6 in )(12 in) = 72 in^2.
Recall that 1 ft^2 = 144 in^2.
Then
72 in^2 1 ft^2
--------------- * --------------- = 0.5 ft^2
1 144 in^2
Answer:
exact form is 21/2, in decimal form is 10.5 and in mixed fraction is 10 1/2
Step-by-step explanation:
Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle.
Answer:
19 degrees
Step-by-step explanation:
Will have a triangle with horizontal distance being 2800, and vertical being 1000 feet. Angle between the horizontal and hypotenuse is what we are looking for.
Thus it's a tangent function.
SOH
CAH
TOA <-----
Tangent is the opposite / adjacent
So we will be looking at doing an Arctan to find the angle.
Arctan α = = 19.29 degrees. Round to the nearest whole degree would be 19 degrees due to being less than .50
Your answer is 19 degrees