The point c(-3,-2)is translated 1 unit left and 2 units up.what are the coordinates of the resulting point,c
1 answer:
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Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
Where;
= 13.5
= 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
In the elimination method, one variable is eliminated from the system of equations to find the value of the other.
To create the opposite terms of the x-variable-
- The first equation be multiplied by the number 4.
- Second equation be multiplied by the number -6.
To solve the system of equations and find the value of the variables, the elimination method is used.
In this method, one variable is eliminated from the system of equations to find the value of the other.
Given information-
The system of the equation given in the problem is,
The second equation given in the problem is;
To eliminate the x term, make the coefficient of x of both equations equal.
It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.
The first equation is multiplied by;
The second equation is multiplied by;
Hence, to create the opposite terms of the x-variable-
The first equation is multiplied by the number 4.
The second equation is multiplied by the number -6.
Learn more about the elimination method here;