We can multiple this binomial and this trinomial to find an equivalent expression.
(x + 4)(3x^2 + 2x)
3x^3 + 2x^2 + 12x^2 + 8x
Combine like terms.
3x^3 + 14x^2 + 8x is the equivalent polynomial.
In an isosceles triangle two angles will be equal
So, if 50 is one of the equal angles then the angles will be (50,50,80)
Otherwise if 50 is the non-equal angle then the angles will be (50,65,65)
Answer:
confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
(0.79 , 0.89)
Step-by-step explanation:
step 1:-
Given sample survey former UF students n = 1532
84% said they were still in love with Tim Tebow
p = 0.84
The survey sampling error

Given standard error of proportion = 2% =0.02
<u>Step 2</u>:-
The 99% of z- interval is 2.57
The 99% of confidence intervals are
p ± zₐ S.E (since sampling error of proportion = 

on simplification , we get
(0.84 - 0.0514 , 0.84 + 0.0514)
(0.79 , 0.89)
<u>conclusion</u>:-
confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
(0.79 , 0.89)
I believe the answer is 0.5
Step-by-step explanation:
Given that,
The length of a ladder, H = 20 feet
The height of the wall, h = 15 ft
We know that,

h is perpendicular and H is hypotenuse
So,

Now using Pythagoras theoerm,

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.