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3 years ago

10

There are 10 less trumpet players than saxophone players.The numbers of a saxophone player 3 times the number of trumpet players

. How many trumpet players are there?

1 answer:

Vikentia [17]3 years ago

3 0

There are 5 trumpet players.
if there are 15 saxophone players, there are 10 less trumpet players making it 5.

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Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believe

Stolb23 [73]

Answer:

Step-by-step explanation:

The model $N (t)$ , the number of planets found up to time $t$ , as a Poisson process. So, the $N (t)$ has distribution of Poison distribution with parameter $(\lambda t)$

a)

The mean for a month is, $\lambda = \frac{1}{3}$ per month

$E[N(t)]= \lambda t\\\\=\frac{1}{3}(24)\\\\=8$

(Here. t = 24)

For Poisson process mean and variance are same,

$Var[N (t)]= Var[N(24)]\\= E [N (24)]\\=8$

(Poisson distribution mean and variance equal)

The standard deviation of the number of planets is,

$\sigma( 24 )] =\sqrt{Var[ N(24)]}=\sqrt{8}= 2.828$

b)

For the Poisson process the intervals between events(finding a new planet) have independent exponential distribution with parameter $\lambda$ . The sum of $K$ of these independent exponential has distribution Gamma $(K, \lambda)$ .

From the given information, $k = 6$ and $\lambda =\frac{1}{3}$

Calculate the expected value.

$E(x)=\frac{\alpha}{\beta}\\\\=\frac{K}{\lambda}\\\\=\frac{6}{\frac{1}{3}}\\\\=18$

(Here, $\alpha =k$ and $\beta=\lambda$ )

C)

Calculate the probability that she will become eligible for the prize within one year.

Here, 1 year is equal to 12 months.

P(X ≤ 12) = (1/Г (k)λ^k)(x)^(k-1).(e)^(-x/λ)

$=\frac{1}{Г (6)(\frac{1}{3})^6}(12)^{6-1}e^{-36}\\\\=0.2148696\\=0.2419\\=21.49%$

Hence, the required probability is 0.2149 or 21.49%

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2 years ago

Building a is 160160 feet shorter than building

Serjik [45]

I assume the heights are 160 ft and 1480 ft.

The two heights are unknown, so we will use variable h to help solve the problem.
The shorter building, building A, has height h.
Since building A is shorter by 160 ft, then building B is taller by 160 ft, so the height of building B is h + 160.

Now we add our two heights to find the total height.

h + h + 160 is the total height.
We can write it as 2h + 160

We are told the total height is 1480 ft, so we let 2h + 160 equal 1480, and we have an equation.

2h + 160 = 1480

Subtract 160 from both sides

2h = 1320

Divide both sides by 2

h = 660

h + 160 = 820

Building A measures 660 ft.
building B measures 820 ft.

7 0

2 years ago

Please help me with the question. Will mark brainliest.

Inessa05 [86]

Step-by-step explanation:

A.) Ok, so the mean price for Southtown is 72,800.

And the mean price for middle town is 54,900

So Southtown has the higher mean price.

Explanation:

To find the mean. You must first add up all the numbers, then divide the total by how many numbers you added up.

72,000 + 50,000 + 68,000 + 93,000 + 81,000 = 364,000

Then,

364,000/ 5 = 72,800

B.) It is 17,900

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Hope this helps you out!!! : )

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2 years ago

Find all the powers of 4 in the range 4 Through 1000

Anettt [7]

(4⁰ = 1 too small)

4¹ = 4

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4³ = 64

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3 years ago

Read 2 more answers

(5x10^7)(6x10^4) in scientific notation

Ratling [72]

Answer:

(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation

Step-by-step explanation:

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2 years ago