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Sedbober [7]
3 years ago
9

You and your friend are playing a game. The two of you will continue to toss a coin until the sequence HH or TH shows up. If HH

shows up first, you win. If TH shows up first, your friend wins. What is the probability of you winning?
Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

The probability of friend A winning with HH = 1/4.

Step-by-step explanation:

The probability of an event, A is P(A) given by the relationship;

P(A) = (The number of required outcome)/(The number of possible outcomes)

The parameters given are;

The condition of friend A winning = Coin toss sequence HH shows up

The condition of friend B winning = Coin toss sequence TH shows up

The number of possible outcomes = TT, TH, HH, HT = 4

(TH and HT are taken as different for the game to be fair)

The number of required outcome = HH = 1

Therefore;

The probability of friend A winning with HH = 1/4.

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What is the slope intercept form of the equation for the line that has a slope of -2 and a y-intercept of 3?
Misha Larkins [42]

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 and c = 3, hence

y = - 2x + 3 ← equation in slope- intercept form

7 0
3 years ago
What is the answer to no solution 6−3+4x+1
ivann1987 [24]

Answer:

4x+4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?
Katena32 [7]

Answer:

XY = 4.9

Step-by-step explanation:

Given

XZ= 4

\angle Y = 45

\angle Z = 60

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

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

In this case:

\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}

Cross Multiply

XY * \sin(45) = 4 * \sin(60)

XY * 0.7071 = 4 * 0.8660

Make XY the subject

XY = \frac{4 * 0.8660}{0.7071}

XY = \frac{3.4640}{0.7071}

XY = 4.89888276057

XY = 4.9 -- <em>approximated</em>

3 0
3 years ago
X/9 &gt; 9 is the question and the answer is 81 but Iḿ not sure how my teacher got the answer 81
Oliga [24]

Answer:

81 < x

Step-by-step explanation:

\frac{x}{9} > 9 → x > 9 \times 9 → x > 81

* The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

5 0
3 years ago
Am I right ? Because I need help with this please thanks.
bazaltina [42]

to find the hypotenuse (or the ramp in question 4) you can use the equation

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

with a and b being the 3 feet and 9 feet and c being the unknown (ramp).

So if you plug 3 and 9 into the equation, it looks like this.

3^{2} +9^{2} =c^{2}

then square them.

9+81=c^{2}

simplify.

90=c^{2}

take the square root of both sides.

\sqrt{90} = c

\sqrt{90} is approx. 9.5 so the answer would be H.

7 0
3 years ago
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