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Tpy6a [65]
3 years ago
15

What is the solution of the system of equations 2x-5y=11 and -2x+3y=-9

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0
Equation 1:
x = (5y+11)/2
Substitute equation 1 to 2:
-2((5y+11)/2)+ 3y=-9
-2/2 = -1 thus -1(5y+11)

Continue...
-(5y+11)+3y=-9
-5y-11+3y =-9
(-5+3)y= 11-9
-2y = 2
y=-1

Substitute y into equation 1:
x=(5*-1+11)/2
x = 6/2=3

So y=-1 and x =3
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3 years ago
In which of the following drawings is DE parallel to AC?
Akimi4 [234]

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Step-by-step explanation:

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5 0
3 years ago
Molybdenum rods are produced by a production line setup. It is desirable to check whether the process is in control, i.e. equal
ikadub [295]

Answer: Test statistic = -8 and rejected region is  (-∞,-1.966) and (1.966, ∞)

Step-by-step explanation:

Since we have given that

X is the length of a rod.

Sample Mean = 2 inches

Standard deviation = 0.5 inches

n = 400

Hypothesis are

H_0:\mu=2.2\\\\H_1:\mu\neq 2.2

Test statistics would be

t=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}}\\\\t=\dfrac{2-2.2}{\dfrac{0.5}{\sqrt{400}}}\\\\t=-8

Degrees of freedom = n-1 =400-1 =39

and \alpha =0.05\\\\\dfrac{\alpha }{2}=\dfrac{0.05}{2}=0.025

Using the t-distribution table, we get that critical value z = 1.966

Since the two tail test will be applied to this,

So, the acceptance region will be (-1.966, 1.966)

Hence, the rejected region will be (-∞,-1.966) and (1.966, ∞)

5 0
3 years ago
McKenzie works for a catering company.She is making ice tea for an upcoming event. For each container of tea she uses 16 tea bag
Free_Kalibri [48]
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8 0
3 years ago
Elise built a large rectangular vegetable garden that is 9 meters long and has an area of 72 square meters.
taurus [48]

Answer: 34 meters.

Step-by-step explanation;

Step One. Find the value of the width. Use an equation with w representing the width and the two values you already have. 9 meters x w = 72 square meters.

Step Two. Solve for width. This is w = 8.

Step Three. Use the value for width in a perimeter formula to calculate the perimeter; 9(2) + 8(2). <em>This is 34 meters for perimeter</em>.

6 0
3 years ago
Read 2 more answers
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