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Mila [183]
3 years ago
5

Three rats in a lab are injected a type of medicine. The independent probabilities for each rat exhibiting side effects are 0.5,

0.4 and 0.3 respectively.
Find the probability distribution formula for this problem with random variable X: the number of rats exhibiting side effects (out of 3)​
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Step-by-step explanation:

There are four possible values of X: 0 rats show side effects, 1 rat shows side effects, 2 rats show side effects, or all 3 rats show side effects.

Probability X = 0:

P = (1 − 0.5) (1 − 0.4) (1 − 0.3)

P = 0.21

Probability X = 1:

P = (0.5) (1 − 0.4) (1 − 0.3) + (1 − 0.5) (0.4) (1 − 0.3) + (1 − 0.5) (1 − 0.4) (0.3)

P = 0.44

Probability X = 2:

P = (0.5) (0.4) (1 − 0.3) + (0.5) (1 − 0.4) (0.3) + (1 − 0.5) (0.4) (0.3)

P = 0.29

Probability X = 3:

P = (0.5) (0.4) (0.3)

P = 0.06

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Mike and talia each make a scale drawing of the right side of their house. The scale of the side of the actual house to Mikes dr
Nutka1998 [239]

The width and height of Talia's Scale drawing are :

  • Width = 4.35 in
  • Height = 5.7 in

We can obtain the actual length of the side of the house from Mike's drawing :

  • Mike's scale = 3 ft to 1 in

Actual measurements:

  • Scale ratio × model drawing
  • Height, h = 9.5 × 3 = 28.5 feets
  • Width, w = 7.25 × 3 = 21.75 feets

Measurement of Talia's Scale drawing :

  • Talia's scale = 5 ft to 1 in
  • Actual measurement ÷ scale
  • Height = 28.5 ÷ 5 = 5.7 in
  • Width = 21.75 ÷ 5 = 4.35 in

The width and height of Talia's scale drawing are 5.7 and 4.35 respectively.

Learn more : brainly.com/question/17388747?referrer=searchResults

5 0
3 years ago
What is the y-value in the solution to this system of linear equations?
Westkost [7]

Answer:

A

Step-by-step explanation:

Given the 2 equations

4x + 5y = - 12 → (1)

- 2x + 3y = - 16 → (2)

Eliminate the x- term by multiplying (2) by 2 and adding the result to (1)

- 4x + 6y = - 32 → (3)

Add (1) and (3) term by term

11y = - 44 ( divide both sides by 11 )

y = - 4

3 0
3 years ago
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Polygon ABCD is plotted on a coordinate plane.If the polygon translates 3 units to the left and 1 unit down,the length of diagon
Hatshy [7]
The length of the diagonal will be 2.

When a translation is performed on a shaped, it simply moves location. The size and shape of the object do not change. Therefore, the length of AC will remain the same at all times.
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Find the area of this parallelogram.<br><br> 8.9 cm<br> 7.1 cm<br> 11.4 cm
defon
<h3>Answer: 80.94 square cm</h3>

==================================================

Work Shown:

Area of parallelogram = base*height

Area of parallelogram = 11.4*7.1

Area of parallelogram = 80.94 square cm

-------------

notes:

  • The base and height always form a 90 degree angle (as shown by the small square marker).
  • The side length of 8.9 cm is never used.
  • We can write "square cm" as "cm^2" or \text{ cm}^2
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3 years ago
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For the function f(x)=|x−7|−4, evaluate f(x+1).
GarryVolchara [31]

Answer:

\displaystyle{f(x+1)=|x-6|-4}

Step-by-step explanation:

To evaluate \displaystyle{f(x+1)}, substitute \displaystyle{x} to \displaystyle{x+1} so we should have:

\displaystyle{f(x+1) = |x+1-7|-4}

Evaluate the expression and finally, we have:

\displaystyle{f(x+1)=|x-6|-4}

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