Answer:
13.5
Step-by-step explanation:
7 1/2=7.5
7.5/5*9=13.5
Answer:
Step-by-step explanation:
Given that :
population mean μ = 120
sample size n = 37
sample mean x = 111
standard deviation = 21
The null hypothesis and the alternative hypothesis can be computed as:
The null hypothesis:
The alternative hypothesis:
Since this test is two-tailed, the value for the test statistics can be computed as:
z = -2.605
z = -2.61
Since this is a two-tailed test
P-value = 2(z < -2.61)
From the z table;
P-value = 2(0.0045)
P -value = 0.009
Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance
Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.
Answer:
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A
Step-by-step explanation:
- Parallel lines have equal slopes and different y-intercepts
- The rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m =
In the given figure
∵ The blue line passes through points A and B
∵ A = (-4, -2) and B = (4, 4)
∴ x1 = -4 and y1 = -2
∴ x2 = 4 and y2 = 4
→ Substitute them in the rule of the slope
∵ m(AB) = = = =
∴ The slope of line AB is
∵ The green line passes through points C and D
∵ C = (0, -3) and D = (4, 0)
∴ x1 = 0 and y1 = -3
∴ x2 = 4 and y2 = 0
→ Substitute them in the rule of the slope
∵ m(CD) = = =
∴ The slope of line CD is
∵ The slope of line AB = the slope of line CD
∵ Parallel lines have the same slope
∴ AB // CD
∴ AB and CD are parallel lines
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"
Answer:
340,000
Step-by-step explanation: