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miv72 [106K]
3 years ago
11

Four students decide to flip a coin a number of times and record their results. Dan flips his coin 5 times, Kelly flips her coin

25 times, Amando flips his coin 50 times, and Judah flips his coin 100 times. Whose results will most likely approach the theoretical probability?​
Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

Judah

Step-by-step explanation:

Because the more times you do the same thing over and over again then average it the more accurate it becomes

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A.  The first graph.

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Can someone please help me with 3,4,5,6 pleaseeee!
FromTheMoon [43]

Answer:

3) m∠E = 102°

4) m∠V = 41°

5) x = 9

6) m∠J = 77°

Step-by-step explanation:

3) Find m∠E:

∠DFE and ∠GFH are opposite angles, so they have equal measures.

Now you know have 3 expressions for the angle measures of ΔGFH

Write an equation and solve for x:

(10x + 3) + (13x - 5) + 90 = 180

combine like terms:

23x + 88 = 180

subtract 88:

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divide by 23:

x = 4°

Now that you have the value of x, you can evaluate both expressions given for ΔDFE:

6(4) + 11 = 35°

10(4) + 3 = 43°

Solve for the missing angle:

35 + 43 + m∠E = 180

m∠E + 78 = 180

m∠E = 102°

4) Find m∠V

ΔRST is an equilateral triangle (all sides are equal)

An equilateral triangle has 3 equal angles:

180 ÷ 3 = 60°

∠STR and ∠UTV are supplementary (add up to 180°):

m∠STR + m∠UTV = 180

m∠UTV + 60 = 180

∠UTV = 120°

Now that you have this angle, you can calculate the value of x:

120 + (5x + 6) + (4x - 9) = 180

9x + 117 = 180

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Now you can calculate the measure of ∠V

m∠V = 5(7) + 6 = 41°

5) Find the value of x

ΔPQR is an isosceles triangle (2 sides are equal)

In an isosceles triangle, the base angles are congruent.

Write an equation and solve for x:

29 + 29 + (8x - 14) = 180

8x + 44 = 180

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x = 17

6) Find m∠J

Same as the last one, base angles are congruent.

Write an equation and solve for x:

(8x + 5) + (8x + 5) + (5x - 19) = 180

21x - 9 = 180

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Calculate the measure of ∠J:

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4 0
3 years ago
A submarine lies 3 kilometers from the path of a target ship. The sub’s torpedoes have a range of 5 kilometers. For what distanc
aev [14]

The distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

Explanation:

The submarine lies 3 km from the target ship.

Let B denotes the target ship and C denotes the submarine.

Let AC denotes the the target ship would be within the range of the torpedoes.

The image attached below illustrates that the distance between submarine and the target ship and the range of the torpedoes.

Let BC denotes the distance between the target ship and the submarine. Let AC denotes the range of the torpedoes.

To determine the length of AB, let us use Pythagorean theorem,

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Hope it helps! If it is, Brainliest please!


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