ANSWER:
Exact Form: <u><em>1/12</em></u>
Decimal Form: <u><em>0.083</em></u>
Using the normal distribution, it is found that the area of the shaded region is of 0.7823.
In a <em>normal distribution</em> with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 59, hence
.
- The standard deviation is of 7, hence
.
The shaded region is the region to the left of 64.2, hence it's area is the p<u>-value of Z when X = 64.2</u>.
has a p-value of 0.7823.
The area of the shaded region is of 0.7823.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213
Answer:
a) a^6+6a^4b+15a^2b^2+20b^3+15(b^4/a^2)+6(b^5/a^4)+(b/a)^6
b) 20
c) a^6+6a^4+15a^2+20+15/a^2+6/a^4+1/a^6
Step-by-step explanation:
(a+b/a)^6=a^6+6a^5(b/a)+15a^4(b/a)^2+20a^3(b/a)^3+15a^2(b/a)^4+6a(b/a)^5+(b/a)^6
a^6+6a^4b+15a^2b^2+20b^3+15(b^4/a^2)+6(b^5/a^4)+(b/a)^6
b) the coefficient of b^3=20
c) if b=1, the expression is
a^6+6a^4+15a^2+20+15/a^2+6/a^4+1/a^6
Answer: £208,000
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original price
r = increase rate (decimal form)
t= years (2015-2010 =5 years)
A = price after t years
Replacing with the values given:
265,000 = p (1+ 0.05)^5
Solving for p
265,000 = p (1.05)^5
265,000 = p (1.05)^5
265,000/ (1.05)^5 =p
p = £207,634. =208,000 (rounded)
Feel free to ask for more if needed or if you did not understand something.
angle B& C = 180
C & D = 180
A & D = 180
A & B = 180
A & C are identical so angle x = 63
angle Z = mirrored angle which is 72
180-63 = 117-72 = 45
so angle y = 45
