Which is the most convenient placement of an isosceles triangle in the coordinate plane for finding the side lengths?

Mathematics

1 answer:

Usimov [2.4K]2 years ago

5 0

Answer:

The bottom left

Step-by-step explanation:

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Cost of the student ticket to the school play is $7. Write an equation that correctly relates the total cost, c,

Molodets [167]

Complete question :

The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variable.

Answer:

Dependent variable = Total cost

Independent variable = number of students

Step-by-step explanation:

The total cost equation is :

Total cost, c = cost per ticket * number of tickets

c = 7 * s

c = 7s

The Independent variable also called the predictor variable is the number of students in the scenario described above as it is the variable upon which the total cost relies. It dictates the value of the output or dependent variable. As we vary the value of the Independent variable, number of students, the total cost which is the dependent variable also varies. The dependent variable on the other hand is the predicted value or variable which is controlled by the independent variable. The dependent variable in this case is the total cost, c

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2 years ago

a student either knows the answer or guesses. Let 3434 be the probability that he knows the answer and 1414 be the probability t

Arlecino [84]

Answer: $\dfrac{12}{13}$

Step-by-step explanation:

Let A = he known the answer then A' = he guess the answer.

B = he answered it correctly

As per given , we have

$P(A)=\dfrac{3}{4}\ \ ,\ \ P(A')=\dfrac{1}{4}$

$P(B|A)=1$

$P(B|A')=\dfrac{1}{4}$

By Bayes theorem , we have

$P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A')P(A')}\\\\ P(A|B)=\dfrac{1\times\dfrac{3}{4}}{1\times\dfrac{3}{4}+\dfrac{1}{4}\times\dfrac{1}{4}}\\\\= \dfrac{12}{13}$

The probability that the student knows the answer given that he answered it correctly is $\dfrac{12}{13}$ .

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2 years ago

A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag.

Delvig [45]

Since you are not allowed to draw a black marble, then you have only 7 ways to draw either a blue or a red marble. The sum of all marbles is 10. So the probability of not drawing a black marble is 7/10 and the probability of drawing a red marble is 2/10 or 1/5.

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2 years ago

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We want to find the maximum and minimum values of f(x, y) = 10x2 + 11y on the disk D: x2 + y2 < 1.

dolphi86 [110]

If you're just focusing on the boundary, it's the circle $x^2+y^2=1$ . Parameterize it by taking $x=\cos t$ and $y=\sin t$ , with $0\le t\le2\pi$ . Then $f(x,y)$ reduces to a univariate function $g(t)$ :