Answer:
I. 60%
II. 75.4 kg
Step-by-step explanation:
We will use the z-scores and the standard normal distribution to answer this questions.
We have a normal distribution with mean 69 kg and variance 25 kg^2 (therefore, standard deviation of 5 kg).
I. What percentage of adult male in Boston weigh more than 72 kg?
We calculate the z-score for 72 kg and then calculate the associated probability:
II. What must an adult male weigh in order to be among the heaviest 10% of the population?
We have to calculate tha z-score that satisfies:
This happens for z=1.28 (see attachment).
Then, we can calculate the weight using this transformation:
Answer:
Step-by-step explanation:
Formula to be used,
A = 
Here, A = Final amount
P = Principal amount
r = rate of interest
n = Number of compounding (In a year)
t = Duration of investment (In years)
Question (5)
P = $4250
r = 0.015
n = 4
t = 3 years
A = 
A = 
A = $4445.24
Part (C)
1). P = $6000
r = 0.03
n = 2
t = 10 years
A = 
= 
= $8081.13
2). P = $9000
r = 0.05
n = 2
t = 8 years
A = 
= 
= $13360.55
(27⁽⁻ˣ⁺³⁾) (9⁽ˣ⁺¹⁾) = 81
Instead of using logarithmic to find x, Notice that 27, 9 and 81 are the perfect powers of 3. Since 27 = 3³, 9 = 3², and 81 = 3⁴, so
(3³⁽⁻ˣ⁺³⁾) (3²⁽ˣ⁺¹⁾) = 3⁴
3³⁽⁻ˣ⁺³⁾⁺²⁽ˣ⁺¹⁾ = 3⁴
If the bases are the same, then cancel it and bring the power as a new base.
3(-x+3) + 2(x+1) = 4
-3x + 9 + 2x + 2 = 4
-x + 11 = 4
-x = 4 - 11
-x = -7
x = 7
1) False
2) True
3) True.
You can see for number one the angles are not the same, therefore they are not equal to eachother.
For two, because the line EC is running flat it is equal to 180. Because their is a little box on the other side of 1 & 2, we know that is equivalent to 90 degrees. Therefore the other side (1 &2) HAS to be 90, because the line in which they are on is 180, 90+ 90 = 180.
3, The same type of math for #2
Each banner uses 40/9 4 4/9 so 40/9 = 4/40 Making the whole number of 4 and 5. I hope I helped. It’s a little hard to explain.
