Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x-ax
is?
2 answers:
Answer:
A
Step-by-step explanation:
Transformation rule : The coordinates change by the rule when the figure rotate 90 degrees about the origin is given by
Transformation rule: When the figure reflected across x- axis then the coordinates change by the rule
The given figure cut x - axis at x=3
The coordinates (3,0).
After 90 degrees rotation about origin the coordinates becomes (0,3).
After reflection across x- axis , the coordinates becomes (0,-3).
Only in first figure, there is (0,-3) .
Hence, the option A is true.
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Answer:
A two-sample t-test for a difference between sample means
Step-by-step explanation:
<u>Explanation</u>:-
A random sample of 50 bags from each of Brand X and Brand Y was selected
Given two sample sizes n₁ and n₂
Each bag was held from its rim, and one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped
mean of ounces the first sample = x⁻
mean of the second sample =y⁻
Given data one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped
Standard deviation of the first sample = S₁
Standard deviation of the second sample = S₂
Now we use t - distribution for a difference between the means
where
Degrees of freedom γ = n₁ +n₂ -2
Answer:
a. Yes
b. No
Step-by-step explanation:
To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.
1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:
1 is greater than or equal to 1, so (3,1) is a solution.
2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:
However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.