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3 years ago

The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

$\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14$

So, the coordinates of G are (15,-14).

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Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c

aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is $\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}$ .

The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is $\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}$

In the other cases, Ayo wins £1.40, with $1 - \frac{18}{72} = \frac{54}{72}$ probability.

Hence, his expected profit for a single game is:

$E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583$

For 216 games, the expected value is:

$E = 216(0.2583) = 55.8$

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

6 0

2 years ago

Anybody knows all of them?

iragen [17]

Answer:

A, B, C, F, G

Step-by-step explanation:

The above-listed properties are inherited from a parallelogram. The properties not inherited from a parallelogram are ...

D (diagonals are angle bisectors) is inherited from a rhombus

E (congruent diagonals) is inherited from a rectangle

H (perpendicular diagonals) is inherited from a rhombus

7 0

2 years ago

What two formulas are necessary to find the area of a segment of a circle? i will name brainliest!!!!!!!

NeTakaya

The necessary formulas to get the area of a circle’s segment are the area of the circle’s sector and the triangle it is bounded by.

Hence the formula for the segment’s area is:Area of Segment = Area of sector – area of the triangle.

The formula of the area of a circle’s sector is:Area of Sector = $\frac{central-angle}{2}$ x (radius of circle)²

While the formula for the area of a triangle is:Area of Triangle = $\frac{1}{2}$ x base of triangle x height of triangle

5 0

3 years ago

Read 2 more answers

kherson [118]

Answer:

6000cm

Step-by-step explanation:

multiply all figures given

7 0

2 years ago

Y=y = 2x -4 when x= 2

Dominik [7]

Y would equal 0. 2x2=4 and 4-4=0.

7 0

3 years ago

The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?​

The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?