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timofeeve [1]
3 years ago
12

Solve this system of linear equations. separate the x- and y- values with a coma.

Mathematics
1 answer:
brilliants [131]3 years ago
3 0
The solution is (2, -4).

We can solve this with the elimination method. Multiply the first equation by -2 and then add the two equations.

-20x + -12y = 8
20x + 10y = 0      Add the two equations

-2y = 8
y = -4

Now, just input -4 for y into either equation, you will get 2 for x.
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5 0
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Identify 3 major arcs of circle that contain point A?
natita [175]

Answer:

Minor Arcs (two capital letters) Arcs that have a degree measure of less than 180 degrees.

Major Arc (three capital letters) Arcs that have a degree measure greater than 180 degrees.

Semi Circle (three capital letters) Arcs that have a degree measure equal to 180 degrees.Step-by-step explanation:

3 0
3 years ago
What time 30equals 200
Dovator [93]
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8 0
4 years ago
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Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The m
svp [43]

Answer:

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Step-by-step explanation:

As we suspect the variability of concentration F - test is applied.

n1=10    s1=4.7

n2=16      s2=5.8

And α = 0.05.

The null and alternate hypothesis are

H0: σ₁²=σ₂²       Ha:  σ₁²≠σ₂²

The null hypothesis is  the variability in concentration does not  differ for the two companies.

against the claim

the variability in concentration may differ for the two companies

The critical region F∝(υ1,υ2) = F(0.025)9,15= 3.12

and 1/F∝(υ1,υ2) = 1/3.77= 0.26533

where υ1= n1-1= 10-1= 9 and υ2= n2-1= 16-1= 15

Test Statistic

F = s₁²/s₂²

F= 4.7²/5.8²=0.6566

Conclusion :

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

3 0
3 years ago
Find the GCF of 34 and 90
Nana76 [90]

Answer:

GCF is 2

Step-by-step explanation:

Factoring 34 leaves only 2 and 17.

90 is not divisible by 17 thus the GCF is 2.

6 0
3 years ago
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