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mel-nik [20]
2 years ago
12

Find the probability of each event. Write your answer as a fraction and as a percent.

Mathematics
1 answer:
coldgirl [10]2 years ago
8 0

Answer:

a. 1/26 , 3.8462%

b. 2/3, 66.7%

c. 1/6, 16.67%

Step-by-step explanation:

a. There are 54 cards in a standard deck, and 4 of each card

b. There are 6 possible numbers, and 4 are less than five

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3 years ago
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



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3 years ago
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The graph of y=|x| is shifted down 9 units
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5 0
2 years ago
Find the present balance.
Triss [41]
<h3>Credited balance:-</h3>

\\ \rm\longmapsto 115.90+115.90+345.85

\\ \rm\longmapsto 231.80+345.85

\\ \rm\longmapsto 577.65

<h3>Debited amount:-</h3>

\\ \rm\longmapsto 25.85+2.00

\\ \rm\longmapsto 27.85

<h3>Checked amount:-</h3>

\\ \rm\longmapsto 19.45+21.02+95.98

\\ \rm\longmapsto 117+19.45

\\ \rm\longmapsto 136.45

<h3>Total change in balance</h3>

\\ \rm\longmapsto 577.65-(27.85+136.45)

\\ \rm\longmapsto 577.65-191.3

\\ \rm\longmapsto 386.35

Now

<h3>Current balance</h3>

\\ \rm\longmapsto 386.35+271.31

\\ \rm\longmapsto\$ 657.66

8 0
3 years ago
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