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3 years ago

Which statement about the graph is true?

Mathematics

2 answers:

nignag [31]3 years ago

5 0

<h2>Answer:</h2>

The statement that is true about the graph is:

The graph does not show a proportional relationship because each point written as ratio gives a different value.

<h2>Step-by-step explanation:</h2>

A graph is said to have a proportional relationship if it is a straight line passing through the origin.

i.e. a variable must be a constant multiple of the other variable.

i.e. y=kx

From the given graph we have a straight line that passes through (0,2) and (2,3)

Hence, the equation of line is:

$y-2=\dfrac{3-2}{2-0}\times (x-0)\\\\\\i.e.\\\\\\y-2=\dfrac{1}{2}x\\\\\\i.e.\\\\\\y=\dfrac{1}{2}x+2$

Hence, the graph does not show a proportional relationship as the equation of the graph is not of the form y=kx

This means that $\dfrac{y}{x}\neq k$

for some constant k.

lions [1.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

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Draw the 4th set in the pattern

Andrej [43]

It seems as if it adds 2 blocks to the bottom end each time, and 1 to the top.

So, it would be a t-shape with those rules

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4 years ago

Does 24, 7, and 26 form a right triangle

const2013 [10]

Answer:

No. It is an obtuse triangle.

Step-by-step explanation:

If c^2>a^2+b^2, then the triangle is obtuse. Since 24^2 + 7^2 is 625, and the square root of 625 is 25, that means 26>25. This proves that the triangle is obtuse.

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3 years ago

Freddie plants carrots in two gardens in each garden he plants three rows of seven carrots what is the total number of carrots f

tankabanditka [31]

Step-by-step explanation:

3x7=21

21x2=42

total 42 carrots

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3 years ago

This is a map of three towns. It shows the train line and the highway that connects the towns. The north direction is shown. The

vlada-n [284]

Answer:

about 106 km

Step-by-step explanation:

The distance between the two towns can be estimated several ways. In the attachment, we chose to measure the angles on the map. Using the law of sines, we can estimate the unknown distance.

The distance can also be estimated using the Tounouse-Avaria distance as a ruler. For best results, that ruler would need to be subdivided to an appropriate level.

<h3>angle measures</h3>

The angles in the triangle can be measured using a protractor or some other tool. The attachment shows the results from a geometry program:

∠TMA ≈ 107°
∠TAM ≈ 24°

<h3>law of sines</h3>

The law of sines tells us the distances are proportional to the sines of the opposite angles:

TM/sin(TAM) = TA/sin(TMA)

TM = sin(24°)×(250 km)/sin(107°) ≈ 106.3 km

The distance from Tounouse to Mt. Monotti is estimated to be about 106 km.

<em>Alternate solution</em>

Using a compass or dividers to project the TM distance onto TA, we find it is between 0.4 and 0.5 of the TA distance. The difference between 2×TM and TA can be estimated to be about 0.4×TM. That is, ...

TM ≈ TA/2.4 ≈ (250 km)/2.4 ≈ 104.2 km

This estimate is consistent with the one found using angle measures.

4 0

2 years ago

A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get

julsineya [31]

I have an expression

$\sigma = \sqrt{p(1-p)/n}$

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

$E( (b-p)^2 ) = (-p)^2(1-p) + (1-p)^2p = p(1-p)$

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

$\sigma = \sqrt{p(1-p)/n}$

Plugging in the numbers,

$\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%$

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0

4 years ago