Answer:
The critical value is
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The level of significance is
The null hypothesis is
The alternative hypothesis is
Here is average time for previous year
is the average time for current year
Generally the degree of freedom is mathematically represented as
=>
=>
Generally from the student t distribution table the critical value for at a degree of freedom of for a two tailed test is
Answer:
Step-by-step explanation:
x²+6x = 18
coefficient of the x term: 6
divide it in half: 3
square it: 3²
add 3² to both sides to complete the square and keep the equation balanced:
x²+6x+3² = 18+3²
(x+3)² = 27
x+3 = ±√27 = ±3√3
x = -3±3√3
Answer:
10.125 ft^2
Step-by-step explanation:
Our strategy will be to find the area of each shape, therefore finding the area of each rectangle and the triangle, and then adding all the areas together. So, for the leftmost rectangle, the area is 1.5 ft x 3 ft = 4.5 ft. For the bottom rectangle, the area is the same, due to it having the same side lengths. For the triangle, we can find the area using A = (1/2) x base x height. The base and height are both 1.5, due to them being sides of the two rectangles. Therefore, the area is 1.5 x 1.5 x (1/2) = 1.125. Then, to get the total area we have to add up the areas we've already calculated. Therefore 4.5 + 4.5 + 1.125 = 10.125 ft^2
Answer:
Step-by-step explanation:
What are the answers you had to do on the test right now