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oee [108]
2 years ago
9

A boat rental company offers two different rental packages. The first rental package costs $45, plus $29.50 per hour. The second

rental package costs $90, plus $0.70 per hour. Which answer choice best approximates the number of rental hours at which the boating packages cost the same amount?
Mathematics
1 answer:
Alik [6]2 years ago
8 0

Answer:

1.6 hour

Step-by-step explanation:

Assume in x hour rent are same

So,

First case; 45 + 29.5x

Second case; 90 + 0.70x

So,

45 + 29.5x = 90 + 0.70x

28.8x = 45

x = 1.5625

x = 1.6 (Approx)

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7. In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment th
Vlad1618 [11]

Answer:a) P(8 of the players numbers are drawn)=1.3×10^-8

b) P(7 of the players number are drrawn)=3.33×10^-c) P(at least 6 of the players number were drawn)=1.84×10^-4

Step-by-step explanation:

Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40

a) P(8 of the players numbers are drawn)= 1/40/8= 1.3×10^-8

There are one in hundred million chances that the draw numbers are precisely the chosen ones.

b) Number of ways of drawing 78 selected numbers from 1-40=8×(40-7)

8×32

P(7 of the players number are drawn)=8×32/40 =3.33×10^-6.

There are approximately 300,000 chances that 7 of the players numbers are chosen

c) P(at least 6 players numbers are drawn)= 32/2×(8/6) ways to draw.

P(at least 6 players numbers are drawn)=P(all 8 chosen are drawn)+P(7 players numbers drawn)+P(6 chosen are drawn) = 1+ 8 x32/40/8 +[8\6 ×32/2]

P(at least 6 players numbers are drawn) = 1.84×10^-4.

There are approximately 5400chances that at least6 of the numbers drawn are chosen by the player.

5 0
3 years ago
Draw or write to explain why 1 hundred 4 tens and 14 tens name the same amount
mihalych1998 [28]
1 hundred can also be 10 tens so when you add 10 tens and 4 tens you 14 tens and that is the same thing as 14 tens
7 0
3 years ago
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A 22-ounce bowl of crackers contains 18 percent cheese crackers. Aida computed 18 percent of 22. Her work is shown below.
Degger [83]
Aida did not use 0.18 for 18%.

When you are finding the percent of something, you can also do this in the attachment below. Yes it is written on a napkin. Hope I helped.

3 0
2 years ago
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Mamont248 [21]

Answer:

Step-by-step explanation:

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y - 0 = -3(x - 4)

y = -3(x - 4)

answer is C

4 0
2 years ago
What is the exact value of sin (-5x/3 <br> 1/2 <br> -1/2<br> ✔️3/2<br> -✔️3/2
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Answer:

Step-by-step explanation:

4 0
3 years ago
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