Answer:
y =
or -3.571
x =
or 1.429
Step-by-step explanation:
x - y = 5
x = 5 + y
Solve for y:
y = -6x + 5
y = -6(5 + y) + 5 Substitute x with 5 + y
y = -6(5) - 6y + 5
y = -30 - 6y + 5
y + 6y = -30 + 5
7y = -25
y =
or -3.571
Solve for x:
x = 5 + y
x = 5 + -25/7
x =
or 1.429
Answer:
3.75
terminating decimal
Step-by-step explanation:
A terminating decimal is usually defined as a decimal number that contains a finite number of digits after the decimal point.
Answer:
yes 3
Step-by-step explanation:
Answer:
(A) T-stat = 1.82
(B) Critical value is 1.645
(C) Yes, there is sufficient evidence to reject the null hypothesis using a 0.05 significance level.
Step-by-step explanation:
(A) T-stat (z) = (sample mean - population mean) ÷ sd/√n
sample mean = 3850 bus miles
population mean = 3800 bus miles
sd = 275 bus miles
n = 100
z = (3850 - 3800) ÷ 275/√100 = 50 ÷ 275/10 = 50 ÷ 27.5 = 1.82
(B) The test is a one-tailed test. The critical value is obtained from the standard normal distribution table. The critical value using a 0.05 significance level is 1.645
(C) Null hypothesis: The bus mechanical reliability is 3850 bus miles.
Alternate hypothesis: The bus mechanical reliability is less than 3850 bus miles.
Conclusion:
There is sufficient evidence to reject the null hypothesis because the test statistic (1.82) is greater than the critical value (1.645)