Answer:
17
Step-by-step explanation:
50
Answer: The median is 30.
1.) Line up each number in numerical order based on the data set.
- 27, 28, 28, 29, 29, 29, 30, 30, 30, 31, 31, 31, 33, 34.
2.) Cross out the numbers from inside out. (Find the middle number.)
- Because the data set has an even amount of numbers, you are left with 2 middle numbers. (30 & 30)
- In this case, you add the numbers together (30 + 30) and divide them by 2. (60/2)
- You end with the result of 30, therefore your answer (the median) is 30.
Answer:
Step-by-step explanation:
This is an arith. sequence.
The first term is 3 and the common difference is 1
Thus, the general formula for the nth term of this sequence is:
a(n) = 3 + 1(n - 1) This matches Answer A
Answer:
H' = (-5, 0)
I' = (6, -3)
Step-by-step explanation:
Since you are reflecting the line segment across the y- axis, the rule would be (x, y) ---> (-x, y). So, applying the rule to H first, all you would need to do is change the sign of positive 5 to -5. And since the rule doesn't have the y- value change, it will stay the same as 0. So H' = (-5, 0)
Then onto I', you would apply the same rule to just the x- value, since according to the rule, the y-value doesn't get changed. So that would be turning -6 into a positive 6, this is because a negative × a negative = a positive.
#4) From the reference angle of 58° we can see that we have the side opposite to that angle as well as the hypotenuse. Recall that sin=opp/hyp so we are going to use sine to find that side
sin(58°) =
(multiply both sides by 19 to isolate x)
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =
(multiply both sides by
)
(flip them so x is on the top)
[tex] \frac{12}{tan(56)} = x
8.1 = x