<h3>
Answer: 6.93</h3>
Work Shown:
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
x^2 + 11^2 = 13^2
x^2 + 121 = 169
x^2 = 169 - 121
x^2 = 48
x = sqrt(48)
x = 6.92820323027551
x = 6.93
This is exponential decay which can be expressed as:
y=ab^t, y=final value, a=initial value, b=rate, t=time
In this case a=25000, r=(100-20)/100=0.8 so
y=25000(0.8^t), so in 4.5 years...
y=25000(0.8^4.5)
y≈$9158.93 (to nearest cent)
Answer:
The probability of 1 error in a period of 0ne - half minute is 0.1494
Step-by-step explanation:
Formula for poisson distribution:
If there is an average of 1 error in 10 seconds
In one-half minutes (i.e. 30 seconds), there will be an average of 30/10 errors = 3 errors
1! = 1
P(X = 1) = 3 * 0.0498
P(X = 1) = 0.01494
Answer:
y = - 6x
Step-by-step explanation:
Note the relation between x and y points on the table, that is
x = - 2 → y = 12
x = - 1 → y = 6
x = 1 → y = - 6
x = 2 → y = - 12
x = 3 → y = - 18
By inspection the y points are x multiplied by - 6, hence
y = - 6x ← is the equation relating x and y
Answer:
2) Definition of vertical angles
3) Definition of congruence
4) proven
Step-by-step explanation:
