How many 3/9’s are in 2

The graph below shows two polynomial functions, f(x) and g(x):

Marianna [84]

<span>A. g(x) is an even degree polynomial with a positive leading coefficient.
because g(x) curves upward at both ends</span>

7 0

3 years ago

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Find the mean of each distribution.

Vanyuwa [196]

Answer:

a) 23 °C

b) 5.81 m² (2 dp)

Step-by-step explanation:

This set of data is presented as a <u>Dot Plot</u>.

The frequency (how often a data value occurs) is represented by the number of dots above each data value.

For example, in this dot plot, there are 3 dots above the data value 21 °C and so this means that there are three of this particular data value in the set of data.

To find the mean, we need to multiply each data value by its frequency, add them up, then divide by the total frequency.

$\begin{aligned}\textsf{mean}&=\dfrac{3 \times 21+1 \times 22+2\times 23+5\times 24+1\times 25}{3+1+2+5+1}\\\\ & = \dfrac{63+22+46+120+25}{12}\\\\& = \dfrac{276}{12}\\\\&=23^{\circ} \sf C\end{aligned}$

This set of data is presented as a <u>stem and leaf diagram</u>, where the units and tenths are split. The units column is the 'stem' and the tenths become the 'leaf'.

Therefore, the first row of this stem and leaf diagram represents 2 data values: 4.3 and 4.8

To find the mean, sum the data values, then divide by the total frequency.

To find the total frequency, simply count the number of values in the leaf part of the diagram.

Data values = 4.3, 4.8, 5.1, 5.1, 5.2, 5.5, 5.7, 6.6, 6.9, 7.3, 7.4

Total frequency = 11

$\begin{aligned}\textsf{mean} &=\dfrac{4.3 + 4.8 + 5.1+5.1+5.2+5.5+5.7+6.6+6.9+7.3+7.4}{11}\\ & = \dfrac{63.9}{11}\\\\& = 5.81\:\textsf{(2 dp)}\end{aligned}$

4 0

2 years ago

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6.Sarah is planning to fence in her backyard garden. One side of the garden is 34 feet long, another side is 30 feet long, and t

Sergeeva-Olga [200]

Answer:

D. $393.00

Step-by-step explanation:

We have to sum the three distances to get the perimeter.

P= 34 ft + 67 ft+ 30 ft

P = 131 ft

And each foot of material cost $3.00

we get the cost with the distance and de cost of the material:

Cost = 131 ft * 3.00 $ per ft = $393.00

Sarah needs $393.00 to fence her backyard garden

7 0

3 years ago

Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone

Fudgin [204]

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

<h3>What is a rectangle?</h3>

A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.

The length of the diagonal (x) can be determined using Pythagoras, hence:

x² = 15² + 8²

x = 17 feet

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

Find out more on rectangle at: brainly.com/question/25292087

5 0

2 years ago

Can you help me and explain ? thank you !

prisoha [69]

First, you would add 9x to both sides so that you get:

x^2 + 9x + 20 = 0.

Then, you want to factor. You want coefficients of x that add to 9 and have the constants add to 20:

(x + 5) * (x + 4) = 0

The answer is (C).

4 0

3 years ago

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