Step-by-step explanation:
p = 0.1, q = 0.9, n = 7
a) Use complementary probability.
P(at least 1) = 1 − P(0)
P(at least 1) = 1 − (0.9)⁷
P(at least 1) = 0.522
b) Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
P(3) = ₇C₃ (0.1)³ (0.9)⁴
P(3) = 0.023



She will take
hours or 13 minutes and 38 secs.
Answer:
C
Expand the bracets then simplfy and then factorise
Answer:
Hence, the particular solution of the differential equation is
.
Step-by-step explanation:
This differential equation has separable variable and can be solved by integration. First derivative is now obtained:



, where C is the integration constant.
The integration constant can be found by using the initial condition for the first derivative (
):



The first derivative is
, and the particular solution is found by integrating one more time and using the initial condition (
):





Hence, the particular solution of the differential equation is
.
If you would like to solve 5x - 65 = 3x - 17, you can do this using the following steps:
5x - 65 = 3x - 17
5x - 3x = 65 - 17
2x = 48
x = 48/2
x = 24
The correct result would be 24.