Answer:
Step-by-step explanation:
Let p be the population proportion of millennials have a sports club membership.
Given : A national magazine stated that at-most, 16% of millennials have a sports club membership.
That means p ≤ 0.16 . (less than or equal to 0.16 or 16%)
Since the null hypothesis contains equality sign , so the null hypothesis for this objective will be :
Also, The alternative hypothesis is just the opposite statement of the null hypothesis , so our alternative hypothesis becomes :
Hence, the null hypothesis and alternative hypothesis are :
Answer:
50 units
Step-by-step explanation:
you use Pythagorean-theorem which means A^2+B^2 =C^2
It does not matter the order of A and B because it is adding. But C is the hypotenuse.
If we plug in the # this is what it looks like...
14^2 +48^2=C^2
or
48^2+14^2=C^2
14*14= 196
48*48=2,304
then you add
196+2,304=C^2
2,500= C^2
and you can use a calculator for this part you do 2,500
with the 2,500 you use the sign as in the picture and it gives you...
50
which means 50*50 = 2,500
Answer:
f'(x) = 2x +
Step-by-step explanation:
differentiate using the power rule
( a
) = na
Given
f(x) = x² - + 9 = x² - 4
+ 9 , then
f'(x) = 2x + 12 = 2x +
Answer:
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (), where
is the hypotenuse.
Let the length of the ladder be (hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as
.
From the Pythagorean Theorem, we then have:
Expand using :
Subtract from both sides and add
to both sides:
Combine like terms:
Divide both sides by 2:
Therefore, the length of the ladder is 25 feet.