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ArbitrLikvidat [17]
3 years ago
10

What is the x-coordinate of the solution of the following system of equations?

Mathematics
1 answer:
Alex Ar [27]3 years ago
8 0
Plug in the x value from the second equation
3(-y+2)+2y=12
use distributive property.
-3y+6+2y=12
since the y values are in the same side of the = sign, just put them together.
-y+6=12
subtract 6 from 6 and 12.
-y=6
since the equation has a negative y, divide what is left by -1.
y= -6.
that is the y value. now plug that in to the first equation.
3x+2(-6)=12
multiply.
3x-12=12add 12 to both 12s
3x=24
divide.
x=8.

the ordered pair is (8, -6), and the x value is 8.
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v = 150d

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d represents the number of days

150 is the daily production

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Answer:

x=35^\circ

Step-by-step explanation:

From the diagram which I have drawn and attached below:

56^\circ+y+51^\circ=180^\circ$ (Sum of Angles on a Straight Line)\\y=180^\circ-(56^\circ+51^\circ)\\y=73^\circ

Next, in the triangle, the sum of the three interior angles:

y+x+72^\circ=180^\circ\\$Since y=73^\circ\\73^\circ+x+72^\circ=180^\circ\\x=180^\circ-(73^\circ+72^\circ)\\x=35^\circ

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3 years ago
Define altitude in a geometric way. (in geometry)
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A table costs $50 more than a chair. The cost of 6 chairs and 1 table is $750. The equation 6x + x + 50 = 750, where x is the co
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An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had
Stolb23 [73]

Answer:

Q1 z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the that means have no difference

Q2  CI 95 %  =  (  0,056 ;  0,164 )

Step-by-step explanation:

Sample information for people under 18

n₁  =  500

x₁ =  180

p₁  =  180/ 500    p₁  =  0,36    then  q₁  =  1 -  p₁     q₁ =  0,64

Sample information for people over 18

n₂  =  600

x₂  =  150

p₂  =  150 / 600   p₂ =  0,25   then   q₂  =  1 - p₂   q₂ =  1 - 0,25   q₂ = 0,75

Hypothesis Test

Null hypothesis                        H₀              p₁  =  p₂

Alternative Hypothesis           Hₐ              p₁  ≠  p₂

The alternative hypothesis indicates that the test is a two-tail test.

We will use the approximation to normal distribution of the binomial distribution according to the sizes of both samples.

Testin at CI =  95 %    significance level is  α = 5 %   α  =  0,05  and

α/ 2  =  0,025   z (c) for that α  is from z-table:

z(c) = 1,96

To calculate   z(s)

z(s)  =  ( p₁  -   p₂ ) / EED

EED = √(p₁*q₁)n₁  +  (p₂*q₂)/n₂

EED = √( 0,36*0.64)/500  +  (0,25*0,75)/600

EED = √0,00046  +  0,0003125

EED = 0,028

( p₁  -  p₂  )  =  0,36  -  0,25  = 0,11

Then

z(s)  =  0,11 / 0,028

z(s) = 3,93

Comparing  z(s) and  z (c)    z(s) > z(c)

z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the idea of equals means

Q2  CI  95 %   =  (  p₁  -  p₂  ) ±  z(c) * EED

CI 95%  =  ( 0,11   ±  1,96 * 0,028 )

CI 95%  = (  0,11  ±  0,054 )

CI 95 %  =  (  0,056 ;  0,164 )

8 0
2 years ago
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