Answer:
10
Step-by-step explanation:
2x(+5)=(25)< subtract 5 to each side
2x=20<divide 2 to 20
x=10
If is a triangle 90°, 45°, 45° then the sides are in ratio 1 : 1 : √2.
If c = 12 is a hypotenuse, therefore we have the equation:
If c = 12 is a leg, therefore we have:
25
85
150
128
Question 4 (Multiple Choice Worth 5 points)
(08.01)Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?
No, this is not a valid inference because he asked only 20 families
No, this is not a valid inference because he did not take a random sample of the neighborhood
Yes, this is a valid inference because he took a random sample of the neighborhood
Yes, this is a valid inference because the 20 families speak for the whole neighborhood
A)The number of students in the seventh grade who would be expected to prefer math to science are: 128
B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood
A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.
A) Given that, the total number of students in seventh grade are: 150 students.
Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.
This means that out of the sample the number of students who prefer math to science is:
= 85 / 100 x 25
= 21.25
Now, out of the total seventh graders the number of students who prefer math to science is:
21.25 x 150 / 25 = 127.5 ≈ 128
B) From the question, we understand that:
Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.
The above selection is a random sampling technique
Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood
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To determine if a point is a solution to an equation, substitute the values of the coordinates into the equation. The point (2,4) was found to not be a solution to the equation y=x-2.
To test if the point (2,4) is a solution to the equation y=x-2, we replace the 'x' with '2' and 'y' with '4' in the equation.
So if y is indeed equal to x - 2, then, replacing x and y should leave you with a true statement. That will be 4 = 2 - 2. But this results in, 4 = 0 which is not true.
So, (2,4) is not a solution to the equation y=x-2.
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