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SVEN [57.7K]
2 years ago
12

A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

4 mph. What is the speed of the flying carpet in still air?
Mathematics
1 answer:
Citrus2011 [14]2 years ago
5 0

Answer:

15.2 mph

Step-by-step explanation:

2.4÷(x+4)=1.4÷(x-4)

1.4(x+4)=2.4(x-4)

1.4x+5.6=2.4x-9.6

-x=-15.2

x=15.2

Hope this helps!

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A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the
Ahat [919]

Answer:Given:

P(A)=1/400

P(B|A)=9/10

P(B|~A)=1/10

By the law of complements,

P(~A)=1-P(A)=399/400

By the law of total probability,

P(B)=P(B|A)*P(A)+P(B|A)*P(~A)

=(9/10)*(1/400)+(1/10)*(399/400)

=51/500

Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

P(A|B)

=P(B|A)*P(A)/P(B)

=(9/10)*(1/400)/(51/500)

=3/136

(b) Find P(~A|~B)

We know that

P(~A)=1-P(A)=399/400

P(~B)=1-P(B)=133/136

P(A∩B)

=P(B|A)*P(A) [def. of cond. prob.]

=9/10*(1/400)

=9/4000

P(A∪B)

=P(A)+P(B)-P(A∩B)

=1/400+51/500-9/4000

=409/4000

P(~A|~B)

=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

=3591/3592

The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

Step-by-step explanation: its were the answer is

5 0
3 years ago
A stock-car race lasted 2.07 hours. how many seconds did the race last?
kolezko [41]
2.07 hr x  \frac{60 min}{1 hr} x  \frac{60 sec}{1 min} = 7452 sec
8 0
2 years ago
Find the area of a circle with the radius of 3. (use 3.14 for pi)
taurus [48]
------------------------------------------------------
Formula
------------------------------------------------------
Area of circle = πr²

------------------------------------------------------
Find Area of circle
------------------------------------------------------
Area of circle = 3.15 x 3²
Area of circle = 28.26 unit²

------------------------------------------------------
Answer: Area = 28.16 unit²
------------------------------------------------------
7 0
2 years ago
Jina is saving money to buy a bike. She has $63 and is going to save an additional $9 each week. The bike costs $198. In how man
Cerrena [4.2K]

Answer:

Jina will have enough money to buy the bike in 15 weeks

Step-by-step explanation:

y = mx + b

198 = 9x + 63

Subtract 63 from both sides;

135 = 9x

Divide both sides by 9;

x = 15

3 0
3 years ago
Rewrite with positive exponents a^-3 b^-5
amm1812

Answer:

1/a^3 and 1/b^5

6 0
3 years ago
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