Suppose you buy a 1.25 pound package f ham at $5.20 per pound what fraction of a pound did you buy
1 answer:
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Hello!
Explanation:
First, you had to add by the similar elements.
Answer:
Hope this helps!
-Charlie
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:
- The first graph (see figure attached)
Explanation:
<u>1. Number of pages read by Robert</u>
Set a function for the number of pages read by Robert, taking into account that this is an arithmetic sequence, whose first term is 30, and the common difference is 20:
- R(n) = 30 + 20 (n - 1)
↑ ↑ ↑
first day next days
<u>2. Number of pages read by Tony:</u>
The arithmetic sequence that represents the number of pages read by Tony has first term 40, and common difference 14:
- T(n) = 40 + 15 (n - 1)
↑ ↑ ↑
first day next days
<u>3. Find the numbers of pages read by Tony in terms of the number of pages read by Robert.</u>
To do that, you must clear n from both equations and equal the two expressions obtained:
From R(n) = 30 + 20 (n - 1):
- R(n) = 30 + 20n - 20
- R(n) = 10 + 20n
- n = [R(n) - 10]/20
You can change R(n) to r:
- n = (r - 10) / 20
From T(n) = 40 + 15 (n - 1)
- T(n) = 40 + 15n - 15
- T(n) = 25 + 15n
- n = [T(n) - 25]/15
Change T(n) to t
- n = (t - 25)/15
Equal both expressions:
- (r - 10) / 20 = (t - 25)/15
Solve for t:
- 15(r-10) = 20(t - 25)
- 15r - 150 = 20t - 500
- 15r - 150 + 500 = 20t
- 15r + 350 = 20t
- 3r + 70 = 4t
- 4t = 3r + 70
- t = (3/4)r + 70/4
- t = 0.75r + 17.5
Find some points of the equation t = 0.75r - 17.5 to compare with the points of the graph:
- r = 0 ⇒ t = 17.5, that means that the line intercepts the vertical axis at 17.5. The only graph that matches this is the first graph
Find other point:
- r = 30 ⇒ t = 0.75(30) + 17.5 = 40.Thus, the graph must contain the point (30, 40), which the first graph does.
