Answer:
π/4 radians
Step-by-step explanation:
The arc length formula is s = rФ, where Ф is the central angle (in radians).
Here, r = 8 inches and s = arc length = 2π inches. We need to find the central angle, Ф. The formula given above is s = rФ, or, equivalently,
Ф = s/r.
Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.
Carl needs to find the (B) Volume of the fish tank
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The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.
Data;
- Mean rate = 0.3
- x = 50
- standard deviation = ?
<h3>Poission Rule</h3>
Using poission formula,

Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45

b)
The probability the next call arrives after 2 hours.

c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;

The mean = 360
The standard deviation is given as

The probability the sum of these 50 number is less than 356 is

Learn more on poission formula here;
brainly.com/question/7879375
Answer:
336
Step-by-step explanation:
Required Formulas:-
1. Number of ways to select x things out of n things = ⁿCₓ
2. Number of ways to arrange n things when a things and b things are similar = n!/(a!*b!)
Since we have to choose 8 colors and we are having 3 different colors, it is only possible when we select 2 different colors (e.g. 5 red and 3 blue). To find all possible ways we will have to find all unique arrangements of selected color.
Using formula (1), number of ways to select 2 colors out of given 3 colors = ³C₂ = 3
Using formula (2), finding all unique arrangements when 5 stripes are of one color and 3 stripes are of second color = 8!/(3!*5!) = 56
Suppose, we can choose 5 stripes from red color and 3 stripes from blue color or 5 strips from blue color and 3 strips from red color. So there are 2 possibilities of arranging every 2 colors we choose .
∴ Answer=3*56*2 = 336
Answer:
its the second option...
Step-by-step explanation: