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2 years ago

A coin is flipped to decide which team starts the game. what is the probability that your team will start the game.

Mathematics

2 answers:

Neko [114]2 years ago

7 0

50% or 1/2 because there is only two sides of the coin and two teams.

AnnyKZ [126]2 years ago

3 0

Answer: I would be a 1/2 chance or 50% chance that my team will go first because there are 2 sides to the coin.

Step-by-step explanation:

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243^-y=(1/243)^3y*9^-2y a.) y=-1 b.) y=0 c.) y=1 d.) no solution

allochka39001 [22]

$243^{-y}=(\frac{1}{243})^{3y}\times 9^{-2y}$ has y = 0 as a solution.

Selection B is appropriate.

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3 years ago

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Proving Pythagorean Theorem

MrRissso [65]

Answer:

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2}$

ssubstitute a and b for any of the numbers (3 or 6) and get 36+9 which is 45

45 =

${c}^{2}$

so you would need to find the square root to get c

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2 years ago

On a coordinate plane, a line goes through points (2, 0) and (3, 3). This graph displays a linear function. Interpret the consta

mario62 [17]

Answer:

Rate of change = 3

Step-by-step explanation:

The rate of change is the slope.

Slope = 3

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3 years ago

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Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa

KengaRu [80]

Answer:

a. 0.5 or 50%

b. 0.496 or 49.6%

c. 0.8185 or 81.85%

d. Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm

e. 0.0252 or 2.52%

f. The qualifying speed would be 47.4 wpm.

Step-by-step explanation:

a. Let's find the z-score this way:

μ = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

p (z=0) = 0.5 or 50%

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

p (z = -0.01) = 0.496 or 49.6%

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

In consequence,

p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

p = 0.0252 or 2.52%

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

The qualifying speed would be 47.4 wpm.

8 0

3 years ago

Question :

Elza [17]

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

$\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}$

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

82 + 78 + ∠C = 180

∠C + 160 = 180

∠C = 20°

Using sine rule:

$\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a= \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft$

a = distance from Ship B to the signal fire at point C

8 0

3 years ago

A coin is flipped to decide which team starts the game. what is the probability that your team will start the game.​

A coin is flipped to decide which team starts the game. what is the probability that your team will start the game.