She jogs 3000 feet in 5 minutes, divide 3000 by 5 to find out how many feet she can jog in 1 minute:
3000 / 5 = 600 feet in 1 minute.
Now multiply 600 feet by 8 minutes:
600 x 8 = 4,800 total feet.
Answer:
The discriminant is 0
Step-by-step explanation:
If b² - 4ac = 0 then the roots are real and equal
Since there is only one x- intercept then this condition applies
Answer: 0.9649
Step-by-step explanation:
Let A denote the event that the days are cloudy and B denotes the event that the days are rainy.
Given : For the month of March in a certain city, the probability that days are cloudy :![P(A)=0.57](https://tex.z-dn.net/?f=P%28A%29%3D0.57)
Also in the month of March in the same city,, the probability that the days are cloudy and rainy :![P(A\cap B)=0.55](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3D0.55)
Now by using the conditional probability, the probability that a randomly selected day in March will be rainy if it is cloudy will be :-
![P(B|A)=\dfrac{P(A\cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%3D%5Cdfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28A%29%7D)
![\Rightarrow\ P(B|A)=\dfrac{0.55}{0.57}\\\\=0.964912280702\approx0.9649\ \ \text{[Rounded to four decimal places.]}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20P%28B%7CA%29%3D%5Cdfrac%7B0.55%7D%7B0.57%7D%5C%5C%5C%5C%3D0.964912280702%5Capprox0.9649%5C%20%5C%20%5Ctext%7B%5BRounded%20to%20four%20decimal%20places.%5D%7D)
Hence, the probability that a randomly selected day in March will be rainy if it is cloudy = 0.9649
Remember: √-1=i
√-16=(√16)(√-1)=(i)(√16)=i(4)=4i
1-4i