To get the first term of the geometric sequence we proceed as follows;
The formula for the arithmetic sequence is:
an=ar^(n-1)
the 5th term is 176, thus;
176=ar^(5-1)
176=ar^4........i
the 7th term is 704, thus;
704=ar^(7-1)
704=ar^6........ii
from i
a=176/r^4
from ii
a=704/r^6
hence;
176/r^4=704/r^6
cross-multiplying the expression we get;
176r^6=--704r^4
dividing both sides by 176r^4 we get:
r^2=4
thus
r=sqrt4
r=2
therefore the first term will be:
a=176/r^4
a=176/2^4
a=11
Answer: Third quartile =$21.58
Step-by-step explanation:
Let x be value of a stock .
For uniform distribution,
probability density function = 
Let a be the stock value such that P(x<a) =75% or 0.75
![\Rightarrow\ \int ^{a}_{10.82}f(x)\ dx=0.75\\\\\Rightarrow\ \int ^{a}_{10.82}\dfrac{100}{1435}\ dx=0.75\\\\\Rightarrow\dfrac{100}{1435}[x]^{a}_{10.82}=0.75\\\\\Rightarrow \dfrac{100}{1435}(a-10.82)=0.75\\\\\Rightarrow a-10.82=0.75\times\dfrac{1435}{100}\\\\\Rightarrow a-10.82=10.7625\\\\\Rightarrow a= 10.7625+10.82= $$21.5825\approx $$21.58](https://tex.z-dn.net/?f=%5CRightarrow%5C%20%5Cint%20%5E%7Ba%7D_%7B10.82%7Df%28x%29%5C%20dx%3D0.75%5C%5C%5C%5C%5CRightarrow%5C%20%5Cint%20%5E%7Ba%7D_%7B10.82%7D%5Cdfrac%7B100%7D%7B1435%7D%5C%20dx%3D0.75%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B100%7D%7B1435%7D%5Bx%5D%5E%7Ba%7D_%7B10.82%7D%3D0.75%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B100%7D%7B1435%7D%28a-10.82%29%3D0.75%5C%5C%5C%5C%5CRightarrow%20a-10.82%3D0.75%5Ctimes%5Cdfrac%7B1435%7D%7B100%7D%5C%5C%5C%5C%5CRightarrow%20a-10.82%3D10.7625%5C%5C%5C%5C%5CRightarrow%20a%3D%2010.7625%2B10.82%3D%09%24%2421.5825%5Capprox%09%24%2421.58)
Hence, 75% of all days the stock is below $21.58 or Third quartile =$21.58 .
Answer:
1. 52 degrees 2. D
Step-by-step explanation:
1. The interior angles of a triangle add up to 180, so you can do 180 - 36 - 92 to find the third angle.
180 - 36 - 92 = 52 degrees
2. the angle XYZ has to equal the sum of the angles WXY and XWY. This means that 115 = 45 + XWY
115 - 45 = 72
XWY = D. 70 degrees
Step-by-step explanation:
i) x (x+2)(3x)
ii) 3x^3+6x^2
iii) (x^2+2x) +(3x^2+6x) +(3x^2)
iv)7x^2+8x
