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mart [117]
2 years ago
13

Remy drinks 214 cups of water every 145 hours.

Mathematics
2 answers:
Tcecarenko [31]2 years ago
4 0

Answer:

1  69/145 cups

Step-by-step explanation:

We can use ratio's to solve this problem.  We will put water over time

214 cups           x cups

--------------- = --------------

145 hours        1 hours


Using cross products

214 *1 =145 x

Divide both sides by 125

214/145 = 145x/145

214/145 = x

145 goes into 215 1 time with 69 left over

1 69/145


krok68 [10]2 years ago
4 0
Your answer is 1 69/145

First, set up your problem.
214 cups=145 hours
? cups = 1 hour

Second, notice how to get to 1 hr from 145 hours, you divide by 145, so in this case, you need to divide 214 by 145.
214/ 145= 1 69/145

*145 (145) fits into 214 perfectly once (1) with a remainder of 69 (69) left over.

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- what is the answer to 3t^2+11t-6
Wittaler [7]
I think the answer maybe 9t+5x
8 0
3 years ago
When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
2 years ago
Which equation is represented by the graph below?
LuckyWell [14K]

Answer:

Step-by-step explanation:

Hello

A (5;2)

B (-1;-7)

y = ax + b

2 = 5a + b

-7 = -a + b

2 - (-7) = 5a - (-a) + b - b

2 + 7 = 5a + a

9 = 6a

a = 9/6

a = 3/2

2 = 3/2 * 5 + b

b = 2 - 15/2

b = 4/2 - 15/2

b = 11/2

y = 3/2 x + 11/2

y+1= 3/2(x-4)

y + 1 = 3/2 x - 6

y = 3/2 x - 6 - 1

y = 3/2 x - 7 => no

y-4= 3/2(x+1)

y - 4 = 3/2 x + 3/2

y = 3/2 x + 3/2 + 4

y = 3/2 x + 3/2 + 8/2

y = 3/2 x + 11/2 => yes

y+4= 3/2(x-1)

y + 4 = 3/2 x - 3/2

y = 3/2 x - 3/2 - 4

y = 3/2 x - 3/2 - 8/2

y = 3/2 x - 11/2 => no

y-1= 3/2 (x+4)

y - 1 = 3/2 x + 6

y = 3/2 x + 6 + 1

y = 3/2 x + 7 => no

5 0
2 years ago
Read 2 more answers
A real estate agent sold a home worth $475,000. She asks for 6% commission, but the people selling the home only want to pay her
suter [353]

Answer:

4750

Step-by-step explanation:

475000/100 = 4750

4750 * 6 = 28500

4750 * 5 = 23750

28500 - 23750 = 4750

5 0
3 years ago
Read 2 more answers
1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and h
iren [92.7K]

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

6 0
2 years ago
Read 2 more answers
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