Answer:
Step-by-step explanation:
Answer:
volume = (1/3)(area of base)(height)
area of base = pi * radius2 = pi * (10/2)2 = pi * 52 = 25pi cm2
volume = (1/3)( 25pi )( 9 ) cm3
volume = 75pi cm3
volume ≈ 236 cm3
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Answer:
The slope is -0.89 and the y-intercept is (0, -3.05).
Step-by-step explanation:
To find the slope and y-intercept, convert the equation to y=mx+b where m=slope and b=y-intercept.
Convert the equation by rearranging the terms using inverse operations.
-1.7x - 1.9y = 5.8 Add 1.7x to both sides.
+1.7x +1.7x
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-1.9y = 5.8 + 1.7x Divide both sides by -1.9.
y= - 0.89 x - 3.05
This is now in y=mx+b and m=-0.89 and b=-3.05.
The slope is -0.89 and the y-intercept is (0, -3.05).
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)
