Answer: v = 793.77 mph
Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:
v = ω.r
where
ω is angular velocity
r is radius of the path
<u>Angular</u> <u>velocity</u> is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:
The Earth takes 24 hours to complete a rotation, then angular velocity:
0.262 rad/h
At a location 40° north, radius is 3033.5 miles, so:
v = 0.262*3033.5
v = 793.77
<u>At latitude of 40°north, linear speed is </u><u>793.77mph</u>.
So, Anna has a markers, Ben has b markers and Cindy has c markers.
We know that a+b+c = m.
And we know also that a = 2b. (<span> twice as many markers as ben has</span>)
(Remember b is the number of Ben markers.)
The equation becomes:
2b+b+c=m.
Solving for c:
Cindy has (m-3b) markers.
These are the answers
<span> -0.315342
-12.684658</span>
Answer:
a)0,45119
b)1
Step-by-step explanation:
For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)
Now the poisson approximation is used
λ=nP=80000*1/133225=0,6
Now, let X be the number of couples that birth April 30
P(X ≥ 1) =
1 − P(X = 0) =
P(X ≥ 1) = 0,45119
B) Now want to find the
probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday
Now the poisson approximation is used
λ=nP=80000*52/133225=31.225
Now, let X be the number of couples that birth same day
P(X ≥ 1) =
1 − P(X = 0) =
P(X ≥ 1) = 1
Answer:
<u>If mixed numbers are </u>
<u>You can write them as a sum of a whole and fraction and use the distributive property of multiplication:</u>
- a b/c × d e/f =
- (a + b/c) × (d + e/f) =
- ad + a(e/f) + d(b/c) + (b/c)(e/f)
