Answer:
See below in bold.
Step-by-step explanation:
For the fair coin Prob(head) = 1/2 and Prob(Tail) = 1/2.
For the biased coin it is Prob(head) = 2/3 and Prob(Tail) = 1/3.
a) Prob(2 heads) = 1/2 * 2/3 = 1/3.
b) Prob(2 tails) = 1/2 * 1/3 = 1/6.
c) Prob(1 head ) = Prob(H T or T H) = 1/2 * 1/3 + 1/2 * 2/3) = 1/6+1/3 = 1/2.
d) Prob (at least one head) = prob (HH or TH or HT) = 1/3 + 1/2 =<em> </em>5/6.
Answer:
ln (m^2n^9)
Step-by-step explanation:
Rule: ln a + ln b = ln ab
Rule: ln a^n = n * ln a
2 ln m + 9 ln n =
= ln m^2 + ln n^9
= ln (m^2n^9)
= 
A pair of jeans = $40.00
There is a 6.5% sales tax.
First change the % into a decimal by moving the decimal point two spaces to the left.
0.065
Multiply that by 40.00 to find out how much the tax is.
40 × 0.065 = 2.6
Now add the tax to the initial price.
40.00 + 2.6 = 42.60
The total cost is $42.60.
Answer:
Step-by-step explanation:
![\sf \frac{3}{a} x - 4 = 20\\\\Add \ 4 \ to \ both \ sides\\\\\frac{3}{a} x = 20+4\\\\\frac{3}{a} x = 24\\\\Multiply \ both \ sides \ by \ a\\\\3x = 24 * a\\\\Divide \ 3 \ to \ both \ sides\\\\x = 24a / 3\\\\x = 8a\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20%5Cfrac%7B3%7D%7Ba%7D%20x%20-%204%20%3D%2020%5C%5C%5C%5CAdd%20%5C%204%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5C%5Cfrac%7B3%7D%7Ba%7D%20x%20%3D%2020%2B4%5C%5C%5C%5C%5Cfrac%7B3%7D%7Ba%7D%20x%20%3D%2024%5C%5C%5C%5CMultiply%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%20a%5C%5C%5C%5C3x%20%3D%2024%20%2A%20a%5C%5C%5C%5CDivide%20%5C%203%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5Cx%20%3D%2024a%20%2F%203%5C%5C%5C%5Cx%20%3D%208a%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
Step-by-step explanation:
Required
The equation of the ellipse
This is calculated as:
Where:
---- height
--- width
So:
