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tatiyna
3 years ago
12

What is the value of X ?

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
7 0

Answer:

the answer is <u>650</u>

Step-by-step explanation:

use the formula, a^2 + b^2 = c^2

so 25^2 = 625

and 5^2 = 25

added, 650.

Stells [14]3 years ago
5 0

Answer: 30

Step-by-step explanation:

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Q1 ).The number of white corpuscles on a slide has a Poisson distribution with mean 4.5.
dybincka [34]

The most likely number of white corpuscles om a slide is 4 ,the probability of obtaining this number 4 is 0.190 , probability of obtaining at least two white corpuscles in total on the two slides is 0.999.

Attending to the first question

<h3>What is Poison Distribution ?</h3>

Poisson Distribution is used for an independent event to find its  probability in a fixed interval of time .

Let X be the number of white corpuscles on a slide, then X~Pois(4.5)

a) We have to find the most likely number of white corpuscles on  a slide , which means expected value of Poise(4.5)

The expected value of Poisson distribution with mean λ is equal to λ.

Therefore the expected value is 4.5.

 the number of corpuscles cannot be non-integer,

To find the most likely number in one experiment,

determine it between 4 and 5.

In the common case P(X=k) when X~Poise(λ) is equal to \frac {\lambda^{k}} {k!}}e^{-\lambda}

,\rm e^{-\lambda}  is a constant in terms of k

​so the point is to find out what is greater  :   {\frac {4.5^4} {4!}} or {\frac {4.5^5} {5!}}

 {\frac {4.5^5} {5!}}={\frac {4.5^4} {4!}} * {\frac {4.5} 5}

{\frac {4.5} 5} < 1

So, {\frac {4.5^4} {4!}} is greater

So, the most likely number of white corpuscles om a slide is 4.

b)  the probability of obtaining this number 4 is

P(X = 4)

= {\frac {4.5^4} {4!}}e^{-4.5}=0.190

c) Let Y be the total number of corpuscles on two screens.

Y=X{\scriptscriptstyle 1}+X{\scriptscriptstyle 2}Y=X1+X2 ,

where X{\scriptscriptstyle 1}, X{\scriptscriptstyle 2}  - number of corpuscles on the first and second slide respectively.

Then Y = Poise(4.5 + 4.5) = Poise(9)

the probability, correct to three decimals places of obtaining at least two white corpuscles in total on the two slides

The goal is to find P(Y ≥ 2)

Therefore the probability less than 2 will be subtracted from the total probability i.e. 1

P(Y ≥ 2 ) = 1 - P (Y=0) - P(Y=1)

= 1-{\frac {9^0} {0!}}e^{-9}-{\frac {9^1} {1!}}e^{-9}=1-10e^{-9}=0.999

To know more about Poisson Distribution

brainly.com/question/17280826

#SPJ1

7 0
2 years ago
What is the maximum vertical distance between the line y = x + 56 and the parabola y = x2 for −7 ≤ x ≤ 8?
atroni [7]
-7 and 8 are the solutions to the given equation system.
Therefore, the maximum distance between the y values of the two equations must lie exactly between their points of intersection. That is on x value:
x = (-7 + 8)/2 = 0.5
The maximum distance is:
y = 0.5 + 56 = 56.5
y = 0.5² = 0.25
56.5 - 0.25 = 56.25 units
5 0
3 years ago
An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes tha
gulaghasi [49]

Answer:

1)28.8%

2)28.8%

3)43.6%

Step-by-step explanation:

1))Probability of wining both = Probability that first contract is won* Probability that second contract is won = 0.4 * 0.72 = 0.288 = 28.8%

2)Probability of losing = 1 - Probability of winning

Probability that they will lose both contracts = Probability that first contract is lost * Probability that second contract is lost = (1 - 40/100) * (1 - 54/100) = 0.276 = 27.6%

3)Probability that any one is won = 1 - both contracts are won - both contracts are lost = 1 - 0.276 - 0.288 = 0.436 = 43.6%

7 0
3 years ago
One package of blueberries costs $3.<br>How many packages of blueberries can<br>you buy with $12?​
Pachacha [2.7K]

Answer:

4

Step-by-step explanation:

Because 3×4=12

5 0
3 years ago
Read 2 more answers
It’s not A can someone plz help me with this I can’t find the answer to it plzzzzz help it be appreciated
Ludmilka [50]

Answer:

177

Step-by-step explanation:

You have to multiply and you get 177

8 0
3 years ago
Read 2 more answers
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