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butalik [34]
3 years ago
8

Consider the experiment of flipping three coins at the same time. What is the probability of getting a heads on each of the thre

e coins on the one toss of the three coins?
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

0.125 is the probability of getting a heads on each of the three coins on the one toss of the three coins.

Step-by-step explanation:

We are given the following in the question:

Event: flipping three coins at the same time

We can write the sample space as:

S:{TTT, THH, HTH, HHT, TTH, HTT, THT, HHH}

We define probability as

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

We have to evaluate the probability of getting a heads on each of the three coins on the one toss of the three coins

P(HHH) = \dfrac{1}{8}=0.125

0.125 is the probability of getting a heads on each of the three coins on the one toss of the three coins.

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Plz help me solve the quadratic formula by factoring!!!!<br><br>m (m-3) = 0​
Maksim231197 [3]

Answer:

m^2 - 3m = 0

Step-by-step explanation:

m(m-3) = 0

m^2 - 3m = 0

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A taxi company charges a $2.00 base fare plus an additional fare based on a per-mile rate and a per-minute rate. Ryan's first ta
Fed [463]

A $2.00 base fare charge, and per-mile, and per-minute rates related as follows; 3•x + 7•y = 6.5 and 7•x + 14•y = 14, give the distance traveled in the third ride as 4.5 miles

<h3>How can the length of the third ride be calculated?</h3>

The base fare = $2.00

Let <em>x </em>represent the per-mile rate, and let <em>y </em>represent the per-minute rate, we have;

The cost of Ryan's first taxi ride = $8.50

Distance traveled in the first ride = 3.0 miles

Time taken during the first ride = 7 minutes

Therefore;

2 + 3•x + 7•y = 8.5

Which gives;

3•x + 7•y = 8.5 - 2 = 6.5

  • 3•x + 7•y = 6.5...(1)

Distance traveled in the second ride = 7.0 miles

Duration of the second ride = 14 minutes

The second ride cost = $16.00

Therefore;

2 + 7•x + 14•y = 16

Which gives;

7•x + 14•y = 16 - 2 = 14

  • 7•x + 14•y = 14...(2)

Solving the above simultaneous equations by multiplying equation (1) by 2 then subtracting the result from equation (2) gives;

(7•x + 14•y) - 2 × (3•x + 7•y) = 14 - 2×6.5 = 1

x = 1

  • The per-mile rate, <em>x </em>= $1

3•x + 7•y = 6.5

7•y = 6.5 - 3•x

7•y = 6.5 - 3×1 = 3.5

y = 3.5/7 = 1/2 = 0.5

  • The per-minute rate, <em>y </em>= $0.5

Duration of the third taxi ride = 10 minutes

Cost of the third ride = $13.50

Therefore;

2 + 1×a + 10×y = $13.50

Where <em>a </em>is the distance traveled during the third ride, we have;

2 + 1×a + 10×0.5 = $13.50

2 + a + 5 = 13.5

a = 13.5 - 2 - 7 = 4.5

  • The third ride was, <em>a </em>= 4.5 miles

Learn more about simultaneous linear equations here:

brainly.com/question/24085666

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3 0
2 years ago
One interior angle of a triangle is 30⁰. The other angle measures are x⁰ and y⁰. Which of the following could be the values of x
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Step-by-step explanation:

One interior angle of a triangle = 30⁰ .

The measure of other two are x and y .

We know that the angle sum property of a triangle is 180⁰ .

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=> x + y = 180⁰ - 30⁰.

=> x + y = 150⁰.

Possible solution set of x and y are ,

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Basically we are here decreasing y and increasing x to obtain the values .

Hope it helped !

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