Answer:
Claim : men weigh of wild jackalopes is 69.9
The null hypothesis : H0 : μ = 69.9
Alternative hypothesis : H1 : μ ≠ 69.9
Test statistic = −2.447085
P value = 0.0174
Conclusion :
Fail to Reject the Null hypothesis
Step-by-step explanation:
From the question given :
The claim is that : mean weight of wild jackalopes is still the same as 10 years with a mean weight of 69.9 lbs.
The null hypothesis : H0 : μ = 69.9
Alternative hypothesis : H1 : μ ≠ 69.9
Using calculator :
Sample mean (x) = 66
Sample standard deviation (s) = 12.345
The test statistic t :
(x - μ) / (s/√n)
n = sample size = 60
(66 - 69.9) / (12.345 / √60)
t = −2.447085
P value at α 0.01, df = 59 is 0.0174
Since the p value is > 0.01, the result is not significant at 0.01. Therefore, we fail to reject the Null
So Tom can run in 384seconds and bill can run can run in 83% of Tom’s time so Bill can run his time in 5 minutes and 19 seconds
Answer:
m = 200 miles
Step-by-step explanation:
Rental Co. A: A(m) = $35 + ($0.10/mile)(m), where m is the number of miles driven
Rental Co. B: B(m) = $25 + ($0.15/mile)(m)
Set these two dollar amounts equal to each other and solve for m:
$25 + ($0.15/mile)m = $35 + ($0.10/mile)(m). Combine like terms, obtaining:
($0.05/mile)m = $10; then m = ($10) / ($0.05/mile), or 200 miles.
The price charged by the two companies would be the same when the car has been driven 200 miles.
Answer:
90 apples
Step-by-step explanation:
1st class did 1/3, 1/3 of 60 is 20, 60-20 is 40, 40 into 2.25 or 2 1/4 = 90 because 40 x 2 = 80 and 1/4 of 40 is 10, 10+80 = 90, so the second class needs 90 apples
Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4