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3 years ago

Write 12.325 as a mixed number. quick I need help

Mathematics

2 answers:

stira [4]3 years ago

5 0

Answer:

493 /40

Step-by-step explanation:

(12.325 × 100) / (1 × 1000) =

=12325/ 1000

Nastasia [14]3 years ago

4 0

Answer:

493/40

i tried my best on it

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g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a

galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0

3 years ago

Nine hundred and fifty seven divided by one hundred

Kryger [21]

Answer:

9.57

Step-by-step explanation:

900 / 100 is 9 but then you just have to add the 57 with a decimal at the end

5 0

3 years ago

Solve the system of equations. 13x−y=90

SpyIntel [72]

Just squish the two equations into one equation and idk im just typing this because i apparently need a twenty character long answer

8 0

3 years ago

the US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years. By how muc

rewona [7]

Answer:

The population growth is 6.26 per square mile per year

Step-by-step explanation:

We are given

he US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years

So,

Initial population =128.7

Final Population =191.3

Total time =10 years

now, we can find population grow per year

$=\frac{final-initial}{T}$

now, we can plug values

$=\frac{191.3-128.7}{10}$

$=6.26$

So,

The population growth is 6.26 per square mile per year

3 0

4 years ago

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Please help me calculation completing square?<br>x²+2x-24=0?

Anna11 [10]

Answer:

x = 4, -6

Step-by-step explanation:

x = 4, -6

5 0

3 years ago