Answer:
x = 13, y = 18
Step-by-step explanation:
Since it has a 90 degree angle and a 45 degree angle, it is an isosceles triangle, so x = 13.
Use Pyth Theorem to find y:
13^2 + 13^2 = c^2
169 + 169 = c^2
338 = c^2
18.384 = c
Answer:
Step-by-step explanation:
the answer is 4 because 4 feet is 48 inches plus 4 equals 52
The equation of a circle is (x-h)²+(y-k)²=r², with h being the x value in the center, k being the y value, and r being the radius. x and y can stay variables, so we can plug numbers in to get (x-0)²+(y-3)²=5²=25=x²+(y-3)²
Answer:
Explanation:
The amount that Frank paid on his last credit card bill shows how piecewise functions work.
Taking into account that:
- 1.5 percent = 1.5/100 = 0.015,
- 1 percent = 1 / 100 = 0.01, and
- 0.015 × 500 = 7.50,
You can model the amount paid using the piecewise function p(x):
Thus, your calculation is:
- p(x) = $7.50 + $ 0.01 × (741.23 - 500) = $ 9.91
Answer:
0.375
Step-by-step explanation:
With equal probability, hence
p for both teams = 0.5
First team to win three games win, probability that series lasts 5 games :
This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :
Each team winning two games and any of the teams could be the eventual winner :
From binomial relation :
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 0.5
Team A :
Winning any 2 from 4 and winning the 5th
(4C2 * 0.5^2 * 0.5^2) * 0.5
0.375 * 0.5 = 0.1875
Team B :
(4C2 * 0.5^2 * 0.5^2) * 0.5
0.375 * 0.5 = 0.1875
Hence, the probability that series lasts five games is :
[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]
0.1875 + 0.1875
= 0.375
