Answer:2737t
Step-by-step explanation:
Answer:
2315.35 inches
Step-by-step explanation:
Since the circumference of a circle is
, then the diameter of the circle is
inches
Answer:
65 mileshour
Step-by-step explanation:
Probability that it will rain on the first day and be clear (not rain ) on the next two days is 0.1719 .
<u>Step-by-step explanation:</u>
We are given that there is a 23% chance it will rain on any day, we need to find what is the probability that it will rain on the first day and be clear (not rain ) on the next two days . Let's do it step by step:
Probability for first day is to rain i.e.
.
Probability for second day is to not rain i.e.
.
Probability for third day is to not rain i.e.
.
Now, Probability for occurrence of these 3 events simultaneously is :
⇒ ![(0.23)(0.77)(0.77)](https://tex.z-dn.net/?f=%280.23%29%280.77%29%280.77%29)
⇒ ![(0.23)(0.5929)](https://tex.z-dn.net/?f=%280.23%29%280.5929%29)
⇒ ![0.1719](https://tex.z-dn.net/?f=0.1719)
∴ Probability that it will rain on the first day and be clear (not rain ) on the next two days is 0.1719 .
Answer:
(x + 10 and (x + 12)
Step-by-step explanation:
x^2 + 22x + 120 = ( ? )( ? )
We need to find two constants whose product is 120 and whose sum is 22.
Let the two constants be a and b. Then:
a*b = 120 and a + b = 22.
It's a bit easier to find a and b such that a + b = 22: 2 and 20, 4 and 18, 6 and 16, and so on. Note that 6 + 16 = 22 (correct) but that 6*16 = 96 (not correct). Try 8 and 14, 10 and 12. Note that 10 + 12 = 22 and that 10*12 = 120. So the desired roots are {10, 12} and the desired factors are (x + 10 and (x + 12).
Check: Does (x + 10)(x + 12) work out to x^2 + 22x + 120?
x^2 + 12x + 10x + 120 = x^2 + 22x + 120? YES
The factors are (x + 10 and (x + 12).