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dimaraw [331]
4 years ago
13

A necklace requires 2 blue beads a necklace requires two blue beads for every 5 white beads. Steve claims that there are 35 tota

l beads that 12 of them must be blue beads.
what is the correct number of blue beads for 35 total beads
Mathematics
1 answer:
charle [14.2K]4 years ago
5 0
If there is 2 blue beads for every 5 white beads and there are 35 total beads there must be 10 blue beads for every 25 white beads which equals 35 total beads! I hope this was helpful!
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A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial,
Tresset [83]

Answer:

The probability that it will choose food #2 on the second trial after the initial trial = 0.3125

Step-by-step explanation:

Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.

To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?

Proof -

By the given information, we get the stohastic matrix

H = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]

As we know that,

The matrix is a Markov chain x_{k+1} = Hx_{k}

Let

The initial state vector be

x_{0} = \left[\begin{array}{ccc}1\\0\\0\end{array}\right]

we choose this initial vector because given that If the animal chooses food #1 on an initial trial.

Now,

x_{1} = Hx_{0} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}1\\0\\0\end{array}\right] \\= \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right]

∴ we get

x_{1} = \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right]

Now,

x_{2} = Hx_{1} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right] \\= \left[\begin{array}{ccc}0.25+0.0625+0.0625\\0.125+0.125+0.0625\\0.125+0.0625+0.125\end{array}\right]\\= \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right]

∴ we get

x_{2} = \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right]

∴ we get

The probability that it will choose food #2 on the second trial after the initial trial = 0.3125

4 0
3 years ago
Javed downloaded from the Internet two files that had a combined size of 696 megabytes. The size of the first file was 290 megab
vitfil [10]

Answer:

7 minutes I'm pretty sure I'm sorry if I'm not but if I'm right can I have brainliest answer?

8 0
3 years ago
Read 2 more answers
Maths Trigonometry Question<br> 100 points up for grabs!<br> Will give brainliest to whoever answers
Gekata [30.6K]

Answer:

14) 21.136505024965 m

15) 43.076759215619 km

Step-by-step explanation:

14)

let h be the height of the lighthouse:

tan(41.3) = 18.7/h

Then

h = 18.7÷tan(41.5)

  = 21.136505024965 m

………………………………………

15)

90-71.4 =18.6

Let s be the distance that the plane flew

towards the south:

tan(90 - 71.4) = s/128

Then

tan(18.6) = s/128

Then

s = tan(18.6)×128

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5 0
2 years ago
Read 2 more answers
Please help! Fast! It needs to be done and show me the steps.
mr_godi [17]
---------------------------------------------
Formula
---------------------------------------------
Sum of all exterior numbers = 360°

---------------------------------------------
Apply Formula
---------------------------------------------
z + 45 + 55 + 78 + 74 + z = 360

---------------------------------------------
Combine likes term
---------------------------------------------
2z + 252 = 360

---------------------------------------------
Take away 252 from both sides
---------------------------------------------
2z = 360 - 252
2z = 108

---------------------------------------------
Divide by 2 on both sides
---------------------------------------------
2z = 108
z = 108 ÷ 2
z = 54

---------------------------------------------
Find z + 45
---------------------------------------------
z + 45 = 54 + 45 
z + 45 = 99°

---------------------------------------------
Answer: 99°
---------------------------------------------
4 0
4 years ago
Is 9.36 less. than. 9.359
konstantin123 [22]

Answer:

Its more because 9.36 has a bigger beginning then 9.359.





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4 0
4 years ago
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