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Papessa [141]
2 years ago
8

By which process are clouds dew and fog formed

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
4 0

Condensation. The water that evaporates into the sky gets condensed into clouds. For the dew,

"Dew is water in the form of droplets that appears on thin, exposed objects in the morning or evening due to condensation. As the exposed surface cools by radiating its heat, atmospheric moisture condenses at a rate greater than that at which it can evaporate, resulting in the formation of water droplets."

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53​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
faltersainse [42]

Answer:

a

   P(X = 5) = 0.2423

b

    P( X \ge  6 )=  0.4516

c

   P( X <  4 )=  0.12694

Step-by-step explanation:

From the question we are told that

   The population proportion is   p = 0.53

    The sample size is  n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators        

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly​ five is mathematically represented as

     P(X = 5) =  ^{10}C_5 *  0.53^5 *  (1- 0.53)^{10-5}

=>  P(X = 5) =  252 * 0.04182 *  0.023

=>  P(X = 5) = 0.2423

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  at least​ six is mathematically represented as

  P( X \ge  6 )=  P( X  = 6) +  P( X  = 7) +  P( X  = 8) +  P( X  = 9) +  P( X  = 10)

=> P( X \ge  6 )=  [^{10}C_6 *  [0.53]^6 *  (1- 0.53)^{10-6}] +  [^{10}C_7 *  [0.53]^7 *  (1- 0.53)^{10-7}] +  [^{10}C_8 *  [0.53]^8 *  (1- 0.53)^{10-8}] +  [^{10}C_9 *  [0.53]^9 *  (1- 0.53)^{10-9}] + [^{10}C_{10} *  [0.53]^{10} *  (1- 0.53)^{10-10}]

=> P( X \ge  6 )=  [0.227] +  [0.1464] +  [0.0619] +  [0.0155] + [0.00082]

=> P( X \ge  6 )=  0.4516

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  less than four is mathematically represented as

    P( X <  4 )=  P( X  = 3) +  P( X  = 2) +  P( X  = 1) +  P( X  = 0)

=>  P( X <  4 )=  [^{10}C_3 *  0.53^3 *  (1- 0.53)^{10-3}] +  [^{10}C_2 *  0.53^2 *  (1- 0.53)^{10-2}] +  [^{10}C_1 *  0.53^1 *  (1- 0.53)^{10-1}] +  [^{10}C_0 *  0.53^0 *  (1- 0.53)^{10-0}]

=>  P( X <  4 )=  0.09051  +  0.03 +  0.0059 +  0.000526

=>  P( X <  4 )=  0.12694

5 0
2 years ago
Write the ratios for sin X and cos X. Given that sin is opposite over hypotenuse and
Romashka-Z-Leto [24]
The trigonometric ratios are used for right angle triangle.The basic rule to followed is SOH CAH TOA

SOH means Sinx=opposite/Hyp.
CAH means Cosx = adj./Hyp.
TOA means Tanx = Opp./Adj.

Opposite is the side opposite to the acute angle of the right triangle.

<span>Adjacent is the side Adjacent to the acute angle of the right triangle.
</span>
The longest side in a right triangle is the hypotenuse.

7 0
3 years ago
Solve for a.<br> 4a+5=2+3.25a4a+5=2+3.25a
Rina8888 [55]

Answer:

a=-4

Step-by-step explanation:

4a-3.25a=2-5

0.75a=-3

a=-4

3 0
3 years ago
Read 2 more answers
2xy , cu x + y = 9 divizibil cu 2. repede va roggg
Anna [14]

Answer:

jvjjvscsjcsjsvjscjsvhchhcuhcjwcwh ejcisvsufjdtsydghcwhcjwvhsvjscekfdjsvjsfjsvkdvs

Step-by-step explanation:

30y

7 0
3 years ago
What are the factors of 45
musickatia [10]
The factors of 45 are: 1, 3, 5, 9, 15, 45

Which numbers multiply together to equal 45?
1 \times 45 = 45 \\ 3 \times 15 = 45 \\ 5 \times 9 = 45
7 0
3 years ago
Read 2 more answers
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