Answer:
x = 5
Step-by-step explanation:
2⁴(2x) = 2⁵(x + 3)
2^8× = 2^5x + 15
cancel out the 2
8x = 5x + 15
8x - 5x = 15
3x = 15
divide through by 3
x = 5
Answer:
a) 0.264
b) 48 cubit light-years
Step-by-step explanation:
For calculating a) What is the probability of 3 or more stars in 16 cubic light years?
a)
λ= 1 star/16 cubic light-years
t= measure t in units of 16 cubic light years.
E(Y) = λ t = (1/16)(16) = 1 star
P(X>=2) = 1 - P(X<2)
= 1 - [e^-1 + (e^-1)(1)/1!]
= 0.264
b)
P(X≥1) = 1 - P(X=0)
= 1 - e^-μ
0.95 = 1 - e^-μ
e^-μ = 1 - 0.95
e^-μ = 0.05
ln(e^-μ) = ln(0.05)
-μ = -3
μ = 3
Therefore 3 x 16 = 48 cubic light years of space
The surface area of the box will be 112 in²
Explanation
According to the given diagram, the shape of the box is Right Rectangular prism.
The formula for the surface area is :
, where
length,
width and
height of the rectangular prism
Given in the diagram that, 
So, plugging the values into the formula...

So, the surface area of the box is 112 in²
The APR on the loan will be $13. The APR is found by the standard formula. It is calculated annually.
<h3>What is APR? </h3>
APR is an annualized cost indication for a loan that includes all costs.
Suppose there is an initial amount as P. The interest, or say charge on it, is applied annually as 'C' amount.
The given data in the problem is;
Loan payment = $400
Fees = $52
APR=?
The value of the APR is found as;

Hence, the APR on the loan will be $13.
To learn more about the APR, refer to the link;
brainly.com/question/1361627
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Yes they are equivalent 18:9 simplified by 9 is 2:1