Answer:
The p-value is 
Step-by-step explanation:
From the question we are told that
The sample size of male infant is 
The sample size of female infant is 
The sample mean of male infant is 
The sample mean of female infant is 
The population standard deviation is 
The significance level is 
The null hypothesis is 
The alternative hypothesis is 
The test statistics is mathematically represented as
=> 
=> 
From the z-table the p-value is obtained, the value is
Answer:
36 inches
Step-by-step explanation:
it just is
The straight line distance from the helicopter to the accident is the hypotenuse of the right triangle when we connect all the three points. Solving for the horizontal distance, we make use of the equation,
sin 18 = 1560 ft / horizontal distance
Solving the equation above, the horizontal distance is 5048.27 ft.
Answer:
9108
Step-by-step explanation:
23^3+(-12)^3+(-11)^3 remove parentheses
= 23^3-12^3-11^3 group difference of two cubes
= (23-12)(23^2+23*12+12^2) + 11^3 factor difference of two cubes
= 11 (23^2+23*12+12^2-11^2) factor ou 11
= 11(23(23+12) + (12+11)(12-11)) apply difference of two squares
= 11 (23*35+23*1) factor out 23
= 11(23*(35+1)) simplify
= 11*23*36 convert 11*23 into difference of 2 squares
= (17^2-6^2)*6^2 expand parentheses
= 102^2-36^2 evaluate squares
= 10404 - 1296 subtraction
= 9108
(no calculator required)
