Answer:
32m
Step-by-step explanation:
because we know that 3cm = 4 m, we can replace the top length with 4m, we also know that 6cm must equal 8m because of 3cm ×2 = 6cm so 4m ×2 = 8m. now we know 2of the sides so the area is just 4m ×8m because area = length times width. 4m × 8m = 32m
The equation which shows the true solution to the given logarithmic equation is,

<h3>What is power rule of logarithmic function?</h3>
The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.
For example,

Given information-
The logarithmic equation given in the problem is,

Using the power rule of the logarithmic function,

Using the exponent rule of the logarithmic function the above equation can be written as,

Solve it further,

Hence, the equation which shows the true solution to the given logarithmic equation is,

Learn more about the rules of logarithmic function here;
brainly.com/question/13473114
Your end position is 1, -4)
<h3>How to determine your end position?</h3>
The start position is given as
Start = (3, -3)
The movement can be represented using the following translation rule
(x, y) = (x - 2, y - 1)
When the above translation rule is applied, we have:
End = (3 - 2, -3 - 1)
Evaluate the difference
End = (1, -4)
Hence, your end position is 1, -4)
Read more about translation at:
brainly.com/question/26238840
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112 ounce’s are in 7 pounds
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013