Min: 2 Q1: 7.5 Med: 11 Q3:14 Max:17
Step-by-step explanation:
Min is the minimum value of the provided data. In this case it is easier to tell because the numbers are arranged in ascending order;
The minimum value is;
= 2
Quartile 1 is the value that divides into half, the first half of the provides values. The first half of the value is divided by the median (In this case 11). The value that is halfway the values before median value is the Q1
In this case, we end up with two values because the numbers of values are even;
6 & 9
We sum the two and divide by 2
(6 + 9) / 2 = 7.5
Median is the value that is in the middle of all the provided values arranged in ascending order. Because the values are even, we end up with two numbers;
11 & 11
Again we sum the two and divide by 2;
(11 + 11) / 2 = 11
Quartile 3 is the value that divides into half, the second half of the provided values. This means the value three-quaters way. Because the number of provides values is even, then we end up with two values;
14 & 14
We sum the two and divide by 2
(14 + 14) / 2 = 14
Max value is the largest number of all the values;
= 17
Learn More:
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Answer: В. Same distance and same direction
Step-by-step explanation:
A translation is a rigid transformation that maps each point of the original figure to a new position by the same distance and in the same direction.
It does not change the size or shape of the image.
Thus the correct statement relates to translation is "Same distance and same direction"
Hence, the correct option is B.
<span>1) C. Paul and Sarah
2) D. I, III and IV
For the first problem, let's look at the three proposed transformations and see which one(s) work.
Mark. The points were reflected across the line y = x.
Point A (-6,8) would translate to (8,-6) which is not correct. So Mark's idea is wrong.
Paul, Reflect over the X-axis, then the Y-axis.
Point A(-6,8) => (-6,-8) => (6,-8) Correct
Point B(-2,2) => (-2,-2) => (2,-2) Correct
Point C(-8,5) => (-8,-5) => (8,-5) Correct
So Paul's translation works.
Sarah, Rotate 180 degrees around (0,0)
Point A(-6,8) => (6,-8) Correct
Point B(-2,2) => (2,-2) Correct
Point C(-8,5) => (8,-5) Correct
So Sarah's translation works.
So both Paul and Sarah have a translation that works.Looking at the available choices, the correct answer is
C. Paul and Sarah
The triangle OCD is given as congruent to the triangle JAL. That means that all the angles and lengths for each triangle matches the angle and length in the other triangle. Basically, both triangles are identical to each other. So let's see about the choices.
I. is line segment OC congruent to line segment JA? Yes. OC is the first segment in the triangle OCD and JA is the first segment in triangle JAL. So they're congruent by definition.
II. Is line segment OD congruent to line segment AL? No. Segment OD would be congruent to segment JL, or segment CD would be congruent to segment AL.
III. Is angle COD congruent to angle AJL? Yes. COD is the angle around point O which is the 1st point in triangle OCD and AJL is the angle around point J which is also the 1st point in the triangle JAL. So they're congruent by definition.
IV. Is the angle DCO congruent to angle JAL? C is the second point in triangle OCD and A is the second point in triangle JAL. The measure of the angle doesn't matter which way you're going. So they're congruent as well.
So I, III, and IV are all true with II being false. Looking at the available choices, you see that "D. I, III and IV" is the correct answer.</span>
The initial velocity is 19 ft/s.
This equation is in the form
h(t) = -16t²+v₀t+h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height.
Our equation is h(t) = -16t²+19t+110. In this equation, the number in place of v₀ is 19, so the initial velocity is 19.
