Answer:
1, 500km
Step-by-step explanation:
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.
Answer:
The range is -6, 4 , 12.
Step-by-step explanation:
If the domain is -4,0,5, x can only be -4 or 0 or 5.
Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.
Sub x for -4
12x+6y=24
12(-4)+6y=24
-48+6y=24
6y = 72
y = 12
Sub x for 0
12x+6y=24
12(0)+6y=24
6y = 24
y = 4
Sub x for 5
12x+6y=24
12(5)+6y=24
60 + 6y = 24
6y = -36
y = -6
The possible values of y are -6, 4 ,12 which is the range.
In set notation: R = {y|y=-6,4,12}
Answer:
.
Step-by-step explanation:
(5x^2 + 2y^2) * (3x^2 - 7y^2)
= 15x^4 + 6x^2y^2 - 35x^2y^2 - 14y^4
= 15x^4 - 29x^2y^2 - 14y^4
=
Hope this helps!
The monthly interest payment is 162
<h3>What is Interest?</h3>
Interest, in its most simple form, is calculated as a percent of the principal.
First,
monthly interest rate,
= 0.24/12
= 0.02.
Now,
Average monthly interest,
=0.02×$675
= $13.50.
Thus, the annual interest payments,
= 12×$13.50
= $162
Learn more about this concept here:
brainly.com/question/1435782
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