The answer is 13/85. You could find out the answer by doing the reprical multiplication.
The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:
Calculate the standard deviation:
Within ± 0.02 of the population proportion are:
Calculate the z-scores at these points using:
So, we have:
The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
Read more about probability at:
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Answer: Answer is 12.
Step-by-step explanation:
6 - (-6)
6 + 6= 12
Keep, change, change.
Keep 6
Subtraction sign to addition.
Negative 6 becomes positive.
Answer:
a)The slope of A"D" is 3
The slope of B"C" is 3
b) The line segments A"D" and B"C" are congruent and parallel.
Step-by-step explanation:
The pre-image of the parallelogram, has slope of AD equal −3 and the slope of BC equal −3.
Since translation and reflection are rigid transformations, the preimage and the image are congruent.
This means that the lengths of the corresponding sides are equal.
Hence AD=A"D'' and B"C"=BC
However, since the image after a reflection in the y-axis is laterally inverted, the slope of A"D" will be negative of the slope of AD.
Similarly, the slope of B"C" will be negative of the slope of BC.
The slope of A"D" is 3
The slope of B"C" is 3
Since the two line segments have the same slope, they are parallel.
1- Solution using graphs:Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.
2- Solution using substitution:The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II
Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.
Hope this helps :)