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Irina18 [472]
3 years ago
15

2) Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will res

ult in rectangle E? A) Rectangle A B) Rectangle B C) Rectangle C D) Rectangle D
Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

the answer should be c

Step-by-step explanation:

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Suppose you are given either a fair dice or an unfair dice (6-sided). You have no basis for considering either dice more likely
hoa [83]

Answer: Our required probability is 0.83.

Step-by-step explanation:

Since we have given that

Number of dices = 2

Number of fair dice = 1

Probability of getting a fair dice P(E₁) = \dfrac{1}{2}

Number of unfair dice = 1

Probability of getting a unfair dice  P(E₂) = \dfrac{1}{2}

Probability of getting a 3 for the fair dice P(A|E₁)= \dfrac{1}{6}

Probability of getting a 3 for the unfair dice P(A|E₂) = \dfrac{1}{3}

So, we need to find the probability that the die he rolled is fair given that the outcome is 3.

So, we will use "Bayes theorem":

P(E_1|A)=\dfrac{P(E_1)P(A|E_1)}{P(E_1)P(A|E_1)+P(E_2)P(A|E_2)}\\\\(E_1|A)=\dfrac{0.5\times 0.16}{0.5\times 0.16+0.5\times 0.34}\\\\P(E_1|A)=0.83

Hence, our required probability is 0.83.

8 0
3 years ago
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by (2x + 3)°. What is t
larisa [96]

An isosceles triangle is one in which 2 angles have similar measure while the other one is different. In this case, the 2 vertex angles have a measure of 42 degrees, therefore the third angle which is equal to (2x + 3) is:

(2x + 3) + 42 + 42 = 180

2x + 3 = 96

<span>x = 46.5°</span>

5 1
3 years ago
Read 2 more answers
An angle measuring 3.6 radians is drawn in standard position?
tester [92]

Answer:

III

Step-by-step explanation: I just took the quiz

6 0
3 years ago
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3 0
3 years ago
Point A is located at (3,-6) and point A is located at (1-2). What is the scale factor?
Anuta_ua [19.1K]

Answer:

The scale factor is 3.

Step-by-step explanation:

Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).

Therefore, the distance OA is given by \sqrt{(3 - 0)^{2} + (- 6 - 0)^{2}} = 3\sqrt{5} units.

Again, the coordinates of point A' are (1,-2).

Therefore, the distance OA' is given by \sqrt{(1 - 0)^{2} + (- 2 - 0)^{2}} = \sqrt{5} units.

Hence, the scale factor is \frac{OA}{OA'} = \frac{3\sqrt{5} }{\sqrt{5}} = 3. (Answer)

4 0
3 years ago
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