Given:
The figure of a triangle DEF.
To find:
The coordinate of image of given triangle after reflection over y-axis.
Solution:
The vertices of given triangle are D(1,4), E(4,3), F(2,0).
If a figure is reflected over the y-axis, then the rule of reflection is

Using this rule, we get



Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

This means that the correct answer is given by option c.
Answer:
C
Step-by-step explanation:
f is neither even nor odd
Answer:
C, -4
Step-by-step explanation:
slope=change in y/change in x


multiply both sides by 2/5

simplify the right side. 2/5 × 5 = 2 and 2/5 × 10 = 4


bring y to the other side by adding y on both sides

subtract 6 on both sides

so y is -4
Answer:
y=5 when x=20
Step-by-step explanation:
Using the format for inverse proportions: y=k/x
To find k, substitute 25 in for y and 4 for x to find:
25=k/4 ⇒ k=100
Using this we can substitute k and x in for 100 and 20 to find:
y=100/20 ⇒ y=5