Answer:
The claim is false.
Step-by-step explanation:
Given the data :
13 24 21 37 15 25 18 22 40 32
The sample mean and standard deviation can ben calculated for the given sample.
Using calculator :
Sample mean, xbar = 24.7
Sample standard deviation, s = 9.04
Sample size, n = 10
The hypothesis :
H0 : μ = 17
H1 : μ ≠ 17
The test statistic :
(xbar - μ) ÷ (s/√(n))
(24.7 - 17) ÷ (9.04/√(10))
7.7 / 2.8586990
Test statistic = 2.694
We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9
Pvalue = 0.0246
Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure
Answer:
The answer to your question is the letter D) 46°
Step-by-step explanation:
Data
length = 25 ft
Opposite side = 18 ft
Angle = Ф
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
Sin Ф = Opposite side / hypotenuse
-Substitution
sin Ф = 18/25
-Simplification
sin Ф = 0.72
-Result
sin⁻¹ Ф = 0.72 = 46°
Answer:B
Step-by-step explanation:
Solve simultaneously
let x be marys age and y be peters age.
x-2=1/2(5y) -equation 1
x=2/3y -equation 2
Let me know if you want me to solve it for you but these are the two equations