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KATRIN_1 [288]
2 years ago
12

4. If a data set is graphed, what type of graph would form if the data shows a direct variation?

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
3 0

A function represents a direct variation if the ratio between the output values and input values is constant. If two quantities vary directly, the points on a graph form a straight line, and the line runs through the origin.

Please leave a Thanks! It helps!

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Two marathon runners run the full distance of the marathon, approximately 26 miles, in 4 hours.
xxTIMURxx [149]

Answer:

6.5 miles in 1 hour and they will run 75% of the full distance in 1 hour.

Step-by-step explanation:

The distance covered by two marathon runners = 26 miles

They takes 4 hours

We need to find how many miles did they run in 1 hour

In 4 hour, the distance covered is 26 miles

To find distance covered in 1 hour, divide 26 by 4 such that.

d=\dfrac{26}{4}\\\\d=6.5\ \text{miles/hour}

So, they will cover 6.5 miles in 1 hour.

For percentage,

\%=\dfrac{26-6.5}{26}\times 100\\\\=75\%

So, they will run 75% of the full distance in 1 hour.

8 0
3 years ago
Suppose a population of deer in the state is 10, 289 and is growing 1% each year. Predict the population after 5 years
eimsori [14]

Answer: the population after 5 years is 10814

Step-by-step explanation:

The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

n represents the period of growth

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 10289

r = 1% = 1/100 = 0.01,

t = 5 years

Therefore,

A = 10289(1 + 0.01)^5

A = 10289(1.01)^5

A = 10814

3 0
3 years ago
Jones assembles 200 relays in the same time that Smith assembles 180. When Jones has completed 300 relays, how many will Smith h
Finger [1]

Answer:

270

Step-by-step explanation:

Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.

S/J = 180/200

Now you make your proportion

S/J = x/300

But the 2 ratios much remain the same.

180/200 = x / 300                  Multiply both sides by 300

180*300/200 = x                    Multiply the numerator together.

54000/200 = x                       Do the division

270 = x

Smith will have turned out 270 relays.

4 0
3 years ago
A box contains 10 tags, numbered 1 through 10, with a different number on each tag. A second box contains 8 tags, numbered 20 th
blagie [28]

Answer:

E) 29.0

Step-by-step explanation:

The value of the sum is obtained from 2 independent experiments: the value of the number of the first box X₁ and the value of the number of the second box X₂.

The expected value of a draw is the average of all its values, so E(X₁) = (1+2+3+4+5+6+7+8+9+10)/10 = 5.5 and E(X₂) = (20+21+22+23+24+25+26+27)/8 = 23.5

Hence, E(X₁+X₂) = E(X₁)+E(X₂) = 5.5+23.5=29

3 0
3 years ago
Si un triángulo tiene una hipotenusa de 15 cm y un cateto que mide 12 cm, ¿cual es la longitud del otro cateto?
BartSMP [9]

Answer:

   

9cm

Explicación:

El teorema de pitagoras nos dice que la hipotenusa al cuadrado es igual a la suma de los catetos al cuadrado:

c^{2} =a^{2} + b^{2}

Donde c es la hipotenusa y a  y b son los catetos.

Por lo cual, podemos reemplazar c por 15cm y a por 12cm :

15^{2} =12^{2} +b^{2}

Finalmente , debemos resolver la ecuación para b, así que b es igual a :

225=144+b^{2} \\225-144=144+b^{2} -144\\81=b^{2} \\\sqrt{81} =b\\9=b

Por lo tanto, la longitud del otro cateto es 9 cm

3 0
2 years ago
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