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Nesterboy [21]
2 years ago
13

A light can shine blue (B), red (), or yellow (Y) Every second the color changes and is recorded. Estimate the probability the n

ext color will be red. B R Y R R R R Y R B R R
Mathematics
1 answer:
Naily [24]2 years ago
7 0

Answer:

The probability that the next color will be red is: \dfrac{2}{3}

Step-by-step explanation:

The probability of an event is defined as:

Probability=(Total number of favourable outcomes)/(Total number of outcomes )

Here we have to find the probability that the next colour is red is given by:

<em>The recordings are given as:</em>

B  R  Y  R  R  R  R  Y  R  B  R  R

Number of outcomes that red will come up=8

Total number of outcomes=12

Hence the probability is given by:

Probability=\dfrac{8}{12}=\dfrac{2}{3}


You might be interested in
4x −3/3 =7 what is x
ratelena [41]

Answer:

x = 6

Step-by-step explanation:

4x - 3 = 7×3

4x - 3 = 21

4x = 21 + 3

4x = 24

x = 6

I hope you understood the explanation!

4 0
3 years ago
A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
I'm thinking of two numbers, 12 and another number. 12 and my other number have a GCF of 6 and a LCM of 36. What's the other num
mihalych1998 [28]

Answer:

As GCF is

6

and LCM is

36

, and one number is

12

other number is

6

×

36

12

=

6

×

3

36

1

12

=

18

Step-by-step explanation:

5 0
3 years ago
|4x−4(x+1)|=4<br> find x
ValentinkaMS [17]

Answer: x= 5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

Simplify: (Show steps)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

2x /2  =  10 /2

x=5

6 0
3 years ago
What is what is the anwser 34.78x0.12
maks197457 [2]

Answer: 4.1736

Step-by-step explanation:

Simply multiply 34.78 and 0.12 together.

Correct me if I am incorrect

4 0
2 years ago
Read 2 more answers
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