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Anestetic [448]
2 years ago
14

In a sweepstakes sponsored by Gemini Paper Products, 175,000 entries have been received. If 1 grand prize is drawn, and 3 first

prizes, 25 second prizes, and 400 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win the following?
(A) The Grand prize

(B) A prize
Mathematics
1 answer:
Allushta [10]2 years ago
5 0

Answer:

The correct answer are given by (A) \frac{1}{175000} ; (B) \frac{429}{175000}.

Step-by-step explanation:

Total number of entries to the sweepstakes offered by Gemini Paper Products = 175,000.

Total number of prizes to be awarded includes 1 grand prize, 3 first prizes, 25 second prizes and 400 third prizes = 1 + 3 + 25 + 400 = 429.

(A) Required Probability for a person who has put one entry to win the grand prize is given by the fraction \frac{1}{175000}.

(B) Required Probability for a person who has put one entry to win any prize offered is given by \frac{429}{175000}.

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Step-by-step explanation: In the graph

4 0
2 years ago
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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
2 years ago
What is the Value of f(6) if f(x)=2x-11
il63 [147K]
The answers are
f
o
g
(
x
)
=
−
2
x
+
23
and
g
o
f
(
x
)
=
−
2
x
+
5

Explanation:
f
(
x
)
=
−
2
x
+
11

g
(
x
)
=
x
−
6

f
o
g
(
x
)
=
f
(
g
(
x
)
)
=
f
(
x
−
6
)
=
−
2
(
x
−
6
)
+
11

=
−
2
x
+
12
+
11
=
−
2
x
+
23

g
o
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
−
2
x
+
11
)
=
−
2
x
+
11
−
6

=
−
2
x
+
5

I think that the equations speak by themselves.
Of course,
f
o
g
(
x
)
≠
g
o
f
(
x
)
3 0
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928

Step-by-step explanation:

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700-175 = 525

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It will take 15 weeks  


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3 years ago
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