Answer:
Step-by-step explanation:
From the given information:
The null hypothesis and the alternative hypothesis can be computed as:
(i.e. there is no difference between the SAT score for students in both locations)
(i.e. there is a difference between the SAT score for students in both locations)
The test statistics using the students' t-test for the two-samples; we have:
t = 2.06
degree of freedom = (
) -2
degree of freedom = (45+38) -2
degree of freedom = 81
Using the level of significance of 0.05
Since the test is two-tailed at the degree of freedom 81 and t = 2.06
The p-value = 0.0426
Decision rule: To reject 
if the p-value is less than the significance level
Conclusion: We reject the , thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.
15/10 = 18-x/x is the ratio of the larger to the smaller triangle
Cross multiply:
15x = 10(18 - x)
15x = 180 - 10x
25x = 180
x = 7.2
Plug back in to check
15/10 = 1.5
18-7.2/7.2 = 10.8/7.2 = 1.5 :)
Answer:
Area of equilateral triangle = 81√3 cm²
Step-by-step explanation:
Given:
Perimeter of an equilateral triangle = 54 cm
Find:
Area of equilateral triangle
Computation:
Perimeter of an equilateral triangle = 3 x Side
54 = 3 x Side
Side of equilateral triangle = 54 / 3
Side of equilateral triangle = 18 cm
Area of equilateral triangle = [√3/4]side²
Area of equilateral triangle = [√3/4][18]²
Area of equilateral triangle = [√3/4][324]
Area of equilateral triangle = [√3][81]
Area of equilateral triangle = 81√3 cm²
Answer:
64 pizzas
Step-by-step explanation:
4 hours is 240 minutes
12 x (240 / 45) = 64
Answer:
1,000,000
Step-by-step explanation:
10 to the power of 3 is 1,000.
1,000 x 1,000 = 1,000,000
