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3 years ago

Use substitution to solve the system. y = 3x +16 4x - 5y = -25

Mathematics

2 answers:

mariarad [96]3 years ago

6 0

Answer:

(-5,1)

Step-by-step explanation:

y=3x+16

4x-5y=-25

substitute the given value of y into the equation.

4x-5(3x+16)=-25

solve

x=5

substitute the given value of x into the equation.

y=3x(-5)+16

solve

y=1

(-5,1)

jekas [21]3 years ago

4 0

Answer:

x=-5

y=1

Step-by-step explanation:

4x-5y=-25

4x-5(3x+16)=-25

-11x-80=-25

-11x-80+80=-25+80

-11=55

-11x/-11=55/-11

x=-5

y=3x+16

y=3(-5)+16

y=-15+16

y=1

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Evaluate the function f(x) = -4x + 2, when x = -1.

Mkey [24]

Answer:

Option D

Step-by-step explanation:

f(x) = -4x + 2

f(-1) = -4(-1) + 2 = 4 + 2 = 6

3 0

3 years ago

Suppose the number of residents within five miles of each of your stores is asymmetrically distributed with a mean of 25 thousan

ohaa [14]

Answer:

$P(\bar X\:>27.8\:thousand)=3.07\%$

Step-by-step explanation:

Since the number of residents within five miles of each of your stores is asymmetrically distributed, the distribution of the sample means will be approximately normal with a mean of 25 thousand.

The standard deviation of the sample means is:

$\sigma_X=\frac{\sigma}{\sqrt{n} }$

$\implies \sigma_X=\frac{10.6}{\sqrt{50} }=1.4991$

The z value is $z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}} }$

We plug in the values to get:

$z=\frac{27.8-25}{1.4991}=\frac{2.8}{1.4991}=1.87$

The area to the right of 1.87 is $1-0.96926=0.03074$ .

The probability that the average number of residents within five miles of each store in a sample of 50 stores will be more than 27.8 thousand is 3.07%

See attachment.