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Tju [1.3M]
3 years ago
7

I’ll give brainiest

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Answer:

B ) ( x + 5 )

Step-by-step explanation:

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Consider the following pair of equations: y = x + 4 y = −5x − 2 Explain how you will solve the pair of equations by substitution
marissa [1.9K]

Answer:

(-1, 3)

Step-by-step explanation:

to solve using substitution, you have to know the value of either x or y. in this example, they gave you the value of y already: y=x+4.

this means you can substitute the y for (x+4). if we substitute y for (x+4) in the equation y=-5x-2, we get this:

(x+4)=-5x-2

then solve for x

6x=-6

so x=-1

since we know the x value, we can solve for y

y=x+4

y=-1+4

y=3

so the final answer is (-1, 3)

6 0
3 years ago
Read 2 more answers
How to get a square root of a given number​
bonufazy [111]

Answer:

See below

Step-by-step explanation:

The square root of a number is defined as \pm y=\sqrt[2]{x} where (\pm y)^{2} gives the original number. For example, \sqrt{4}=\pm2 because 2^{2}=2*2=4 and (-2)^{2}=-2*-2=4.

8 0
3 years ago
Read 2 more answers
About how many feet does a team of athletes run in a 1600 meter relay race
Alex_Xolod [135]
1 feet = 0.3048 m

0.3048 m =  1 feet

1 m =      (1/0.3048) feet

1600 m =  1600 * (1/0.3048) ≈ 5249.34

1600 m ≈ 5249.34 feet
7 0
3 years ago
Wingard Credit Union is also interested in understanding how long customers spend in front of the ATMs. Customer service times f
lidiya [134]

Answer:

The probability that a customer will take less than half a minute to complete a transaction is 0.2835.

The probability that a customer will take more than 3 minutes to complete a transaction is 0.1353.

Step-by-step explanation:

Let <em>X</em> = service time of customers at an ATM to complete a transaction.

The average service time is, <em>β</em> = 1.5 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter <em>λ </em>= 1/<em>β</em>.

The probability density function of <em>X</em> is:

f(X)=\lambda e^{-\lambda x};\ x>0

(1)

Compute the probability that a customer will take less than half a minute to complete a transaction as follows:

P(X

Thus, the probability that a customer will take less than half a minute to complete a transaction is 0.2835.

(2)

Compute the probability that a customer will take more than 3 minutes to complete a transaction as follows:

P(X>3)=\int\limits^{\infty}_{3} {\frac{1}{1.5} e^{-\frac{x}{1.5}}} \, dx \\=\frac{1}{1.5}\int\limits^{\infty}_{3} { e^{-\frac{x}{1.5}}} \, dx\\=\frac{1}{1.5}|\frac{e^{-\frac{x}{1.5}}}{-\frac{x}{1.5}}|^{\infty}_{3}\\=-e^{-\frac{\infty}{1.5}}+e^{-\frac{3}{1.5}}\\=0+0.1353\\=0.1353

Thus, the probability that a customer will take more than 3 minutes to complete a transaction is 0.1353.

4 0
4 years ago
In 2014, there were approximately 900,000 sworn law enforcement officers serving in the U.S. Approximately 12 percent of those o
Alika [10]

108000

900000/100=9000

9000x12=108000

4 0
3 years ago
Read 2 more answers
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