All categories

2 years ago

Find the mean, median, mode, and range of the data set.

Mathematics

1 answer:

VikaD [51]2 years ago

5 0

Mode: 23

Range: 9

Median: 25.5

Mean: 25.5625

You might be interested in

Suppose an engineer has been instructed to create three new sky rides in the park. He has been given the length and the time eac

Tanya [424]

Answer:

Step-by-step expla

la respuesta esnation:

3 0

3 years ago

For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?

kvv77 [185]

Answer: Option C

$f(x) = x^2;\ k (x) = x ^ 2 -7$

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

$k (x) = f (x) + b$

If $b> 0$ then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If $b> 0$ then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

$f (x) = x ^ 2$

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

$k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7$ .

Then the function k(x) that will have its vertex 7 units below f(x) is

$k (x) = x ^ 2 -7$

3 0

3 years ago

Use the distributive property to write an equivalent expression.<br> 9(x + 10)

Ne4ueva [31]

Answer:

9x + 90

Step-by-step explanation:

Given

9(x + 10) ← multiply each term in the parenthesis by 9 )

= 9x + 90

7 0

3 years ago

A rain gutter is made from sheets of aluminum that are 16 inches wide by turning up the edges to form right angles. Determine th

blsea [12.9K]

Answer:

Depth of the rain gutter is 8 inches

Step-by-step explanation:

Let’s assume ‘x’ is the depth of the rain gutter

Then the width of the rain gutter can be written as 16 - 2x

Cross sectional area

A = depth x width

Substitute values

A = x*(16 - 2x)

A = 16x – 2x^2

Now according to axis of symmetry for maximum area x = -b/2a

x = -16/2*(-2)

x = 4 inches depth of rain gutter, substitute the value of x to get

Width of rain gutter 16 – 2(4) = 8 inches

Area of the rain gutter for maximum water flow

A = 4 * 8

A = 32 square inch.

8 0

3 years ago

a square with an area of 144 cm² is reduced by a factor of 1/3 how long are the new sides of the square?

olga55 [171]

Answer:

4 cm

Step-by-step explanation:

The square root of 144 is 12 (12 x 12 = 144) so we know our sides of the square are 12 cm²

12 / 3 = 4

( $\frac{12}{1} x \frac{1}{3}$ )

The sides of the new square are 4 :)

Hope this helps and is correct, have a nice day! :D

3 0

2 years ago