We are given with two functions here: h(x) is 5^-x and g(x) is 5^x . we are asked in the problem to determine the value of the expression (g-h)(x). In this case, we just have to employ subtraction to the given functions. That is
(g-h)(x) = 5^x - 5^-x
= 5^x -1/5^x
= (5^2x -1)/5^x
Answer:
Position from point A= 383.33 meters
Step-by-step explanation:
A concept to know is that the integral of velocity will give you the distance traveled.
where the interval of integration are the starting time and ending time.
I let the starting time be t₀ = 0, and the ending time t₁=10 for the 10 seconds that it traveled.
I did the integration and got 383.33m traveled in 10 seconds.
So the answer is 383.33 meters.
Ignore the final answer in the image. I misread the question.
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)
Answer:
24/35
Step-by-step explanation:
1) Convert your mixed number (1 and 1/7) to an improper fraction by multiplying your whole number (1) and your denominator (7) which gives you 7. Then add your numerator (1) to that which gets you 8. Then take the original denominator (7) and turn it into improper where your new numerator is 8 and your denominator stays 7. (If that doesn't make much sense then you can look up how to change mixed numbers into improper fractions.)
2) Multiply your numbers straight across.
8/7 * 3/5
8*3= 24
7*5= 35
24/35 you can't simplify this, so 24/35 is your answer
