All categories

3 years ago

Summarize the center of the data set below by determining the median. 18, 55, 42, 57, 54, 35

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

Answer: 48

Step-by-step explanation:

Put numbers in order- 18,35,42,54,55,57

Then find the numbers in the middle, 42 and 54.

Find the aveage of those two numbers to find the median- 48

I hope this helps!

You might be interested in

the slopes of a quadrilateral are -1/2, 3/2, -1/2, and 3/2. What conclusion about this shape cam be made.

Talja [164]

The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

<em><u>Recall:</u></em>

The slopes of the opposite sides of a parallelogram are always parallel.

When two lines have a slope that is equal, the lines are said to be parallel to each other.

The slopes given shows are:

-1/2, 3/2, -1/2, and 3/2

This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.

Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

Learn more about parallelogram on:

brainly.com/question/3050890

4 0

2 years ago

Plzzzzzz helppppp meeee !!!

Anon25 [30]

Answer:

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

$k =2$

$DE = 6$

$FD=10$

Step-by-step explanation:

Given

$\triangle ABC$ and $\triangle FED$

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

$k = \frac{FE}{AB}$

$k = \frac{8}{4}$

$k =2$

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

$k = \frac{DE}{CB}$

$2 = \frac{DE}{3}$

$DE = 2 * 3\\$

$DE = 6$

Solving (f): Length of FD

Using Pythagoras:

$FD^2 = DE^2 + EF^2$

$FD^2 = 6^2 + 8^2$

$FD^2 = 100$

$FD = \sqrt{100$

$FD=10$

7 0

3 years ago

Alex has 7 pizzas he wants to share equally with 10 friends. How much pizza will each friend receive?

Norma-Jean [14]

Each friend will receive 1 or half a slice

8 0

3 years ago

Read 2 more answers

Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two tr

vampirchik [111]

For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional,
or
3. two pairs of corresponding sides are proportional AND the included angles are congruent.

Choice D saus, angles Q and Q' are congruent, angles R and R' are congruent, therefore satisfies the first criterion that at least two corresponding angles are congruent.

7 0

4 years ago

Read 2 more answers

PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION

Likurg_2 [28]

The solution set 0 and 8 are the true values of the absolute value equation

The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

<h3>How to determine the absolute value equation?</h3>

From the figure, the solution sets of the absolute value equation are given as:

x = {0, 6}

Calculate the mean of the solution set

Mean = 0.5 * (0 + 6)

Mean = 3

Calculate the difference of the solution set divided by 2

Difference = (6 - 0)/2

Difference = 3

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x - 3| = 3

Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

Read more about absolute value equation at:

brainly.com/question/2166748

5 0

2 years ago