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pychu [463]
3 years ago
9

The sum of two numbers is 15. Twice one number equals 3 times the other. Find both numbers

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

Answer:

9 & 6

Step-by-step explanation:

First, check if, by adding them (sum), they equal 15:

9 + 6 = 15

Next, check the greater number, by multiplying it by 2:

9 x 2 = 18

Check the lesser number, by multiplying it by 3:

6 x 3 = 18

Note that they both have 18 as an answer.

9 & 6 are your answers.

~

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The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a
GalinKa [24]

Answer:

Right of X = 635.5

Step-by-step explanation:

By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.

According to the rule of continuity;

P(X ≤ k) becomes  P( X ≤ K + 0.5)

P(X < K) becomes P(X < K - 0.5)

P(X ≥ K) becomes P(X ≥ K - 0.5)

P(X > K) becomes P(X > K + 0.5)

P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)

From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.

Then we use the > sign.

∴

P(X > K ) becomes P(X > K + 0.5)

P(X > 635) becomes P(X > 635 + 0.5)

⇒ P(X > 635.5) tot the right.

Right of X = 635.5

5 0
2 years ago
How many solutions does
eimsori [14]

Answer:

The above equation has two solution

x = 0 and x = 1

Step-by-step explanation:

[ refer to the attachment ]

7 0
3 years ago
Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr
Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, A(10) = 0.7278A(0). We use this to find k.

A(t) = A(0)e^{-kt}

0.7278A(0) = A(0)e^{-10k}

e^{-10k} = 0.7278

\ln{e^{-10k}} = \ln{0.7278}

-10k = \ln{0.7278}

k = -\frac{\ln{0.7278}}{10}

k = 0.03177289938&#10;

Then

A(t) = A(0)e^{-0.03177289938t}

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

A(5) = A(0)e^{-0.03177289938*5}

A(5) = 0.8531

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0
3 years ago
3x\4=2y+6xy. what is "x" equal too? what is "y" equal too?
andreyandreev [35.5K]
 the answer is 
x=8y/3(1-8y)


y=3x/8(1+3x)

hope this helped l used cymath to solve this problem. 
good day : )
6 0
3 years ago
Gas Use
Alisiya [41]
Answer: 10.75
Steps:
After 110miles, it used 2.75gallons
Therefore, the amount of gas used per mile is: 100/2.75= 40 gallon per mile

So after 430miles, the number of gallons used: 430/40 = 10.75 gallons

Hope this helps ʕ•ᴥ•ʔ
7 0
2 years ago
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