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zimovet [89]
3 years ago
6

A random sample of the 1,200 students at Northern Elementary were asked which type of movie they prefer. The results are compile

d in a table. 15 like Action, 12 like Comedy, 3 like Historical, 10 like Horror, 4 like Mystery, and 6 like Science Fiction.
Use the data to estimate the total number of students at Northern Elementary school who prefer horror movies.
Mathematics
1 answer:
lara [203]3 years ago
4 0
The answer should 240 because the results add up 50 so if you do 1200/50 it will equal 24 so 24 times 10 is 240.
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irga5000 [103]
We want to find a scalar function f(x,y) such that \nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j.
So we need to have
\dfrac{\partial f}{\partial x}=3+4xy^2
Integrating both sides with respect to x gives
f(x,y)=3x+2x^2y^2+g(y)
Differentiating with respect to y gives
\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C
So we find that
f(x,y)=3x+2x^2y^2+C
By the fundamental theorem of calculus, we then know the line integral depends only on the values of f(x,y) at the endpoints of the path. Therefore

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6
4 0
3 years ago
If f(x)=8x and g(x)=2x+1, what is (f×g)(x)
Sav [38]

Answer:

(f * g)(x) has a final product of 16x² + 8x.

Step-by-step explanation:

When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.

<em>f(x)=8x</em>

<em>g(x)=2x+1</em>

Now, we multiply these terms together.

(8x)(2x + 1)

Use the foil method to multiply.

16x² + 8x

So, the product of these terms is 16x² + 8x.

5 0
2 years ago
Point C is located 8 inches from point A and 6 inches from point B. Points A and B are 2 inches apart.
marshall27 [118]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add
Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0
2 years ago
Dominic is 1.75 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 37.95 meters. He stands 33.7 meters away
Mama L [17]

Using similarity principle, the height of the tree is 1.97 meters

<h3>How to find height of the tree?</h3>

He is 1.75 meters tall.

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Using similarity principles where the corresponding length are a ratio of each other.

Therefore,

1.75 / x = 33.7 / 37.95

cross multiply

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divide both sides by 33.7

x = 66.4125 / 33.7

x = 1.97069732938

x = 1.97 meters

learn more on height here:brainly.com/question/27522065

#SPJ1

7 0
1 year ago
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