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3 years ago

Does anyone know what graph to choose?

Mathematics

1 answer:

skad [1K]3 years ago

8 0

The correct answer is: "Graph 1" ; that is, the "first graph to the left" .
________________________________________________________
→ {among the two graphs provided as answer choices.}.
________________________________________________________
Note:
________________________________________________________
The line drawn on the graph shown on the "first graph" — (that is, the graph shown to the far left, among the two graphs provided as answer choices) — reflect the linear equation given:

" y = 6x " ;

and the line shown on the "first graph shown to the left" consists of the coordinates reflected on the table given:

" (0, 0) , (1, 6), (2, 12), (3, 18) " .
___________________________________________________
Note that the "second graph, to the far right, is incorrect; the line provided in the "second graph" shows that:

when "x = 4" , "y = 20" .

This is incorrect; since:

Given the equation:

" y = 6x " ;

→ y = 6(4) ;

→ y = 24 ; NOT "20" ; so "Graph 2" is incorrect.
___________________________________________________
The correct answer is: "Graph 1" ; that is, the "first graph to the left" .
___________________________________________________

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A suncatcher has 6 sections. Each section is in the shape of a parallelogram witha base of 12 cm and a height of 8 cm. What is t

jonny [76]

Answer:

576 cm²

Step-by-step explanation:

Given:

Number of sections in a suncatcher (n) = 6

Each section is in the shape of a parallelogram.

Base of parallelogram = 12 cm

Height of parallelogram = 8 cm

Now, area of a parallelogram is given as:

Area of parallelogram = Base × Height

Area of 1 parallelogram = 12 cm × 8 cm = 96 cm²

Now, there are 6 parallelogram shaped sections.

So, area of the sections = area of 1 section × total number of sections

∴ Area of 6 sections = 96 cm² × 6 = 576 cm²

Therefore, the total area of the sections of a suncatcher is 576 cm².

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2 years ago

Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard

Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : $\mu=\text{38.7 miles }$

Standard deviation : $\sigma=\text{6.7 miles }$

Sample size : $n=60$

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x=32.5

$\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93$

For x=40.5

$\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27$

The p-value = $P(-0.93$

$=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302$

Hence, the required probability :-0.4302

3 0

3 years ago

Evan tosses a ball from the roof of a building. The path of the ball can be modelled

DiKsa [7]

Answer:

Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel

Step-by-step explanation:

Question;

The equation representing the path of the ball obtained from a similar question posted online are;

h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20

The above equations represent the same path

The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time t

At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level

The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0

The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;

The vertex of the ball = The maximum height reached by the ball = (h, k) = (2, 36)

The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape

The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached

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2 years ago