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vitfil [10]
2 years ago
12

What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?

Mathematics
2 answers:
coldgirl [10]2 years ago
7 0
From the table there is 24 houses with 2 bathrooms and 3 bedrooms

there is a total of 30 houses with 2 bathrooms

 the probability is 24 /30 = 0.8

Ganezh [65]2 years ago
5 0

|\Omega|=30\\ |A|=24\\\\ P(A)=\dfrac{24}{30}=\dfrac{4}{5}=0.8

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Find the 15th term of the geometric sequence 1, -4, 16, ...
True [87]

Answer:

268,435,456

Step-by-step explanation:

Multiply by -4

5 0
3 years ago
Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0
2 years ago
SEND HELP!!!!!!!!<br><br> (image is attached)
Mars2501 [29]

Answer:

y=x+20

Step-by-step explanation:

we have to find the slope

y2-y1/x2-x1

3-2/23-22

1/1

y=1x+b

y-22 = 1(x-2) + b

y=x+20

5 0
3 years ago
How do you do this question?
OLEGan [10]

Step-by-step explanation:

∫ dt / (cos²(t) ⁹√(1 + tan(t)))

If u = 1 + tan(t), then du = sec²(t) dt.

∫ du / ⁹√u

∫ u^(-1/9) du

9/8 u^(8/9) + C

9/8 (1 + tan(t))^(8/9) + C

7 0
3 years ago
How do you find the surface area and volume of a cylinder ​
galina1969 [7]
<h2>Answer:</h2>

The surface area of a shape is the sum of the area of all of its faces. To find the area of a cylinder, you need to find the area of its bases and add that to the area of its outer wall. The formula for finding the area of a cylinder is A = 2πr2 + 2πrh.

<h2>Step-by-step explanation:</h2>
  • Surface area of a cylinder = 2πr 2 + 2πrh
  • Volume of a cylinder = πr 2 h
  • You need to know the radius and height to figure both the volume and surface area of a cylinder.
  • Answers for volume problems should always be in cubic units.
  • Answers for surface area problems should always be in square units.
5 0
2 years ago
Read 2 more answers
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