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Nataly_w [17]
4 years ago
7

Find the equation of a line through the coordinate (3,−2) and parallel to the line represented y=12x−2. A y=12x−2 B y=−2x+4 C y=

12x−72 D y=12x−52
Mathematics
1 answer:
Hatshy [7]4 years ago
7 0

Answer:

Step-by-step explanation:

y=12x−2. parallel lines have the same slope 12

find b at point (3,-2)

y=12x+b

-2=12(3)+b

-2-36=b

b=-36

the equation has to be y=12x-38

when you input the point(3,-2)

-2=12(3)-38

-2=-2 correct

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Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob
miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

P(x)=^nC_x p^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}

=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6

=0.279266611163

\approx 0.28

=28\%

7 0
3 years ago
George has $3.71 in pennies,nickels dimes and quarters in his pocket. He has twice as many dimes as nickels, two more nickels th
FromTheMoon [43]
<span>pennies = 0.01 $
 nickels = 0.05 $
 dimes = 0.1 $
 quarters = 0.25 $
 We must write the system of equations that best suits this problem and solve it:
 Let:
 x = pennies
 y = nickels
 z = dimes
 w = quarters
 Writing the equations
 0.01x + 0.05y + 0.1z + 0.25w = 3.71
 I have twice as many dimes as nickels
 z = 2y
 two more nickels than quarters
 y = w + 2
 three fewer pennies than three times the number of nickels
 x = 3y-3.
 Solving the system of equations:
 x = 21
 y = 8
 z = 16
 w = 6
 answer
 He has
 21 pennies
 8 nickels
 16 dimes
 6 quarters
</span>
4 0
3 years ago
Please help me answer this question
vlabodo [156]

Answer:

Z = sin(xy)

\frac{1}{y} \times \frac{\partial Z}{\partial x} =\cos \left( xy\right)  =\frac{1}{x} \times \frac{\partial Z}{\partial y}

8 0
2 years ago
M is the midpoint of A and B. Find the A (Leave your answer with no spaces and use brackets and commas, use M and B as examples.
Licemer1 [7]

Answer:

<h2>A = (1,-5)</h2>

Step-by-step explanation:

Let the midpoint of the two points A (x₁, y₁) and B(-5, 5) be M(2, 0)

Using the formula for calculating the midpoints of two coordinates

(X₁, Y₁) = (\frac{{x_1}+x_2}{2}, \frac{{y_1}+y_2}{2} )

X_1 = \frac{{x_1}+x_2}{2}\\Y_1 =\frac{{y_1}+y_2}{2}

Given if (X₁, Y₁) is the midpoint, then X₁ = 2, Y₁ = 0

x₂ = -5 and y₂ = 5

Substituting this given values into the equation above to get the unknown coordinate;

X_1 = \frac{{x_1}+x_2}{2}\\-2 =  \frac{{x_1}-5\\}{2}\\-4 = x_1-5\\x_1=-4+5\\x_1 =1

Similarly;

Y_1 = \frac{{y_1}+y_2}{2}\\0 =  \frac{{y_1}+5\\}{2}\\0 = y_1+5\\y_1=0-5\\y_1 =-5

The coordinate of A = (1,-5)

5 0
3 years ago
Help plz!!!!!!!!!!!!!!!!!!!!!!!!
melisa1 [442]
I got the last answer.

Y = 2x - 2


4 0
3 years ago
Read 2 more answers
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