Answer:
0.001709
Step-by-step explanation:
The probability of getting 9 tails then 1 head is:
(½)⁹ (½)¹ = (½)¹⁰
The probability of getting 10 tails then 1 head is:
(½)¹⁰ (½)¹ = (½)¹¹
The probability of getting 11 tails then 1 head is:
(½)¹¹ (½)¹ = (½)¹²
The total probability is:
(½)¹⁰ + (½)¹¹ + (½)¹²
0.001709
Answer:
tax = .45
total cost = 4.95
Step-by-step explanation:
The price before tax is 4.50
The tax rate is 10%
The tax is
4.50 * 10%
4.50 * .10
.45
Add the tax of .45 to the total price
4.50 + .45 = 4.95
The given operation involves just swapping the two rows, so carrying out
on the matrix gives
![\left[\begin{array}{cc|c}5&5&5\\1&-\dfrac23&5\end{array}\right]\to\left[\begin{array}{cc|c}1&-\dfrac23&5\\5&5&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D5%265%265%5C%5C1%26-%5Cdfrac23%265%5Cend%7Barray%7D%5Cright%5D%5Cto%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%26-%5Cdfrac23%265%5C%5C5%265%265%5Cend%7Barray%7D%5Cright%5D)
Answer:
18.4 feet
Step-by-step explanation:
-use the formula C^2 = A^2 + B^2 for a right triangle, which is made by the ladder and the wall.
-let the ladder be C, the wall be a, the base to the bottom be b.
-substitude into the equation, which will leave us with:
C^2 = 17^2 + 7^2
C^2 = 289 + 49
C^2 = 338
C = square root of 338, which is 18.4 feet!
