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frosja888 [35]
3 years ago
12

23 and 24 please? Anyone?

Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer:

23. 92 points

24. 18.5 years old

Step-by-step explanation:

set up an equation

23. 79=chicago-13

add 13

chicago=79+13=92

24. 15.5=lou-3

loud=15.5+3=18.5

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What’s the answer to this question
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Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i
Delicious77 [7]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}

Rewriting it in terms of x° as follows,

\sin x=\dfrac{opposite\:side}{hypotenuse\:side}

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

\sin x=\dfrac{FE}{FG}

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

\sin x=\dfrac{12}{18.6}

To find the value of x, taking inverse sin.

x=\arcsin \left(\dfrac{12}{18.6}\right)

Calculating the value,

x=40.17

Rounding to nearest tenth the value of angle is 40.2

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8 0
3 years ago
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Answer:

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The function is expressed as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

We calculate the probability of guessing 15 or more correctly:

P(X\geq 15)=1-P(X

The probability of passing, guessing 15+ correctly, is 0.0207. This probability is very low and it is  it is likely that she is just guessing at the questions

7 0
3 years ago
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)

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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

 

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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).

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

C)

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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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