Answer:
Step-by-step explanation:
First, the slope is determined by using the following expression:
The y-intercept is found by using the line equation, the slope and one point:
The equation of the line is:
The equations in elimination method are written in the standard form as _______________.ax - by = cax + by + c = 0Ax + By = Cax
1 answer:
Step 1
Given; The equations in the elimination method are written in the standard form as ____
Step 2
Simultaneous linear equations can be solved using the elimination method. First of all, make sure that the equations are written in the standard form either Ax+By=C or Ax+By+C=0. In this method, we multiply both the equations with a non-zero number to make the coefficients of any one variable equal.
Thus the answer is; The equations are written in standard form as seen below
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Number of registrations a website received during July = 2500
Number of registrations a website received during August = 2245
Number by which the registrations decreased :
Thus, the registrations decreased by 255.
Let x be the perrcentage of decrease.
Which means :
▪︎Thus, the percentage of decrease in the number of registered members = 10.2%
Answer:
Step-by-step explanation:
Hello!
The objective of the study is to determine whether the magnets are effective in treating pain. For these two independent groups of individuals with equal affections were randomly sampled, one was treated with magnets and the other group of individuals, call it control group, was treated with a placebo treatment.
The information for both samples is:
X₁: pain measurement using a visual analog scale after the individual received magnet treatments.
X₁~N(μ₁;σ₁²)
n₁= 20
X[bar]₁= 0.46
S₁= 0.93
X₂: pain measurement using a visual analog scale of an individual of the control groups.
X₂~N(μ₂;σ₂²)
n₂= 20
X[bar]₂= 0.41
S₂= 1.26
The claim is that the pain reductions of the control group have more variation than the pain reductions of the target group. If it's so then we could suspect that the population variance of the control group, σ₂², will be greater than the population variance of the magnet group, σ₁².
To test the relationship between these two population variances you have to conduct a variance ratio test using the Snedecors F statistic.
The hypotheses are:
H₀: σ₂² ≤ σ₁²
H₁: σ₂² > σ₁²
α: 0.05
This hypothesis test is one-tailed to the right, there is only one critical value:
The decision rule for the test is:
If ≥ 2.17, then the decision is to reject the null hypothesis.
If < 2.17, then the decision is to not reject the null hypothesis.
Since the calculated value of F is less than the critical value, the decision is to reject the null hypothesis. So using a 5% significance level the decision is to not reject the null hypothesis, you can conclude that the population variance of the pain reduction of the control group is less or equal than the population variance of the pain reduction on individuals treated with magnets.
I hope it helps!