Answer:
x = 2 × 3 11/6 ≅ 2 × 7.5 ≅ 15
Explanation:
6 log₃ (0.5x) = 11
log₃ (0.5x) = 11/6
Here we make both sides the exponent of a base 3. It'll be the inverse function for the left hand side and cancel out the log.
3ˡᵒᵍ₃ ⁽ ⁰.⁵ˣ ⁾ = 3 11/6
0.5x = 3 11/6
<em></em>
<em>Hence the answer:</em>
<em></em>
x = 2 × 3 11/6 ≅ 2 × 7.5 ≅ 15
We will use the formula for finding the surface area of a rectangular prism.
Formula =
SA <span>= </span><span>2 </span><span>(</span><span>w</span><span>l</span><span>+</span><span>h</span><span>l</span><span>+</span><span>h</span><span>w</span><span>)</span>SA = 2 (8·14 + 4·14 + 4·8)
SA = 2 (112 + 56 + 32)
SA = 2 (200)
SA = 400
The gift box needs C) 400 in wrapping paper to wrap the gift box. <span />
The answers are listed in my picture, hope this helps!!
Answer:
a) 0.0567
b) 0.4717
c) 0.099057
Step-by-step explanation:
Given:
P( population are 64 or over ) = 21% = 0.21
P( Population are under 64 ) = 1 - P( population are 64 or over )
= 1 - 0.21 = 0.79
P( 64 or over have loans ) = 27% = 0.27
P( under 64 have loans ) = 52% = 0.52
Now,
a) P( 64 or over and has a loan )
= P( 64 or over have loans ) × P( population are 64 or over )
= 0.27 × 0.21
= 0.0567
b) P( Has a loan )
= P( population are 64 or over ) × P( 64 or over have loans ) + P( Population are under 64 ) × P( under 64 have loans )
= ( 0.21 × 0.27 ) + ( 0.79 × 0.52 )
= 0.0609 + 0.4108
= 0.4717
c) P( events that person is 64 or over and that the person has a loan independent )
= P( population are 64 or over ) × P( Has a loan )
= 0.21 × 0.4717
= 0.099057
Answer:
First Option
Step-by-step explanation:
First, we will find the equation for the total cost of the tickets.
Given x = Cost of 1 adult ticket
y = Cost of 1 Child ticket
Total Cost of tickets at $40:
2x + 4y = 40
To find which graph represent the cost of the tickets,
we can substitute x = 0 to find y and vice-versa.
If x = 0 ,
So when x = 0 , y = 10 which gives the coordinates (0,10).
Now if y = 0,
So when y = 0 , x = 20 which gives the coordinates (20,0)
This shows that this particular line passes through these 2 points and therefore the answer is the first option.