What is the solution to the system of equations graphed below? y = x - 2 y = 4x - 5
1 answer:
There are 3 available methods - Substitution , Elimination and <span>Matrix.
</span>The substitution<span> method is used to eliminate one of the variables by replacement.
</span>
The elimination method<span> is used for solving linear systems.
</span>
<span>A Matrix is an array of numbers.
</span>
Lets use Substitution to solve this system.
Now substitute <span>
</span>
Hence -
</span>The substitution<span> method is used to eliminate one of the variables by replacement.
</span>
The elimination method<span> is used for solving linear systems.
</span>
<span>A Matrix is an array of numbers.
</span>
Lets use Substitution to solve this system.
Now substitute <span>
</span>
Hence -
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Answer:
The test statistic value using the VLBW babies as group 1 is z=-2.76±0.01 and the P-value for the test (±0.0001) is 0.0030.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample 1 (VLBW group), of size n1=244 has a proportion of p1=0.77049.
The sample 2 (control group), of size n2=247 has a proportion of p2=0.79757.
The difference between proportions is (p1-p2)=-0.02708.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):
As the P-value (0.0030) is smaller than the significance level (0.05), the effect issignificant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.
Answer:
See Explanation Below
Step-by-step explanation:
The question is incomplete (because the figure to calculate the perimeter is missing).
However from the comment attached to your question, I understand that the figure looks like a plus sign.
The perimeter of a plane shape is calculated by adding the length of each side of the shape.
Take for instance;
A square of length 5cm.
We know that a square has 4 equal sides; meaning that the length of the other sides are also 5cm
So, the perimeter of the square will be calculated as 5cm + 5cm + 5cm + 5cm = 20cm
Similarly, the perimeter of a triangle whose sides are 4ft, 3ft and 5ft will be calculated by adding up the length of the three sides.
Perimeter of the triangle = 4ft + 3ft + 5ft
Perimeter = 12ft.
Having explained how the perimeter of a plane shape is calculated; take for example, the attachment below.
(The sides are measured in centimetres)
The plus sign has 12 sides; Its perimeter is calculated by adding up the length of the 12 sides.
Perimeter = 3 + 7 + 7 + 5 + 5 + 5 + 5 + 2 + 2 + 4 + 4 + 3
Perimeter = 52cm
