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2 years ago

The lenghts of five boxes are shown in the table which line plot shows the data from the table

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

5 0

Answer:

The bottom right line plot.

Step-by-step explanation:

In the table, 9 1/4 shows up twice. This can be represented in the line plot by putting 2 x's over the 9 1/4 point.

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Is 300/450 equizilant too 2/3???

grigory [225]

Yes because if you divide both the numerator and denominator by 150 you get 2/3

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3 years ago

If you are shooting a basketball and take 10 shots and make 3; what percent did you make?

densk [106]

If you had 10 and made 3 it’s 30%. But if you made 9 it would be 90%

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4 years ago

Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values

Vesnalui [34]

The Lagrangian is

$L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)$

with critical points where the partial derivatives vanish.

$L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}$

$L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda$

$L_\lambda=x^2+y^2-9=0$

Substitute $x,y$ into the last equation and solve for $\lambda$ :

$\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6$

Then we get two critical points,

$(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)$

We get an absolute maximum of $3\sqrt{17}\approx12.369$ at the second point, and an absolute minimum of $-3\sqrt{17}\approx-12.369$ at the first point.

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3 years ago

Classify each pair of angles listed below as adjacent or vertical.

Alisiya [41]

Answer:

Adjacent - DBC and ABC, EBA and ABC

Vertical - ABC and DBE, CBD and EBA

Step-by-step explanation:

A vertical pair of angles are opposite to each other and intersect by two lines. They make an x shape.

Adjacent angles are angles that have a common vertex and side but do not overlap. They make a v shape with another line in the middle.

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3 years ago

Which of the following conclusions can be made based on the scatterplot shown below?

nydimaria [60]

Answer: There is a positive correlation between plant growth and the time spent in light.

Step-by-step explanation:

Since, According to the relation between two variables, there are three types of correlation in the scatter plot,

Positive correlation: In which, the value of dependent variable, y increases with increasing the value of independent variable, x.

Negative correlation: In which, the value of dependent variable, y decreases with increasing the value of independent variable, x.

No correlation: In which there is no relation between the independent and dependent variable.

Here, the time spent in light is the independent variable and plant growth is the dependent variable.

And, when we examine the given graph, we found that with increasing the time spent in light the growth of the plant is increasing.

Thus, In the given scatter plot there is a positive relation between the plant growth and the time spent in light.

⇒ First Option is correct.

7 0

3 years ago

Read 2 more answers