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Leni [432]
3 years ago
13

What is the ans? what is the ans of it

Mathematics
1 answer:
umka21 [38]3 years ago
6 0
We have 20 chances out of 100 which is 20/100=1/5 other known as 1 in 5 chance

The even numbers are 2, 4, 6, .., 100. 50 chances out of 100 which is 50/100=1/2 other know as 1 in 2 chance
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Mary drove at a constant speed of 60 miles per hour. How far would she travel if she drove for 4 hours?
Gelneren [198K]

Answer:

4x60=240 Answer is 240

Step-by-step explanation

240

5 0
3 years ago
An employee worked 160.5 hours in May, 160.4 hours in May, 165.75 hours in June and 152.25 hours in July.
Fudgin [204]
486.65 is the answer to the question
3 0
3 years ago
Evaluate 1/4c+3d when c=6 and d=7
labwork [276]

\dfrac{1}{4}c+3d

Put the values of c = 6 and d = 7 to the expression:

\dfrac{1}{4}\cdot6+3\cdot7=\dfrac{1}{2}\cdot3+21=1.5+21=22.5

5 0
3 years ago
A pair of shoes costs $30.99 and the sales tax is 5%. Use the formula C=p+Rp to find the total cost of the shoes , Where c is Th
sergeinik [125]
C=p+R x p
C=30.99 + .05 x 30.99
Order of operations states do the multiplication first
C=30.99 + 1.55
C=32.54

7 0
3 years ago
Let X be the temperature in at which a certain chemical reaction takes place, and let Y be the temperature in (so Y = 1.8X + 32)
Black_prince [1.1K]

Answer:

See explanation

Step-by-step explanation:

Solution:-

The random variable, Y be the temperature of chemical reaction in degree fahrenheit be a linear expression of a random variable X : The  temperature in at which a certain chemical reaction takes place.

                             Y = 1.8*X + 32

- The median of the random variate "X" is given to be equal to "η". We can mathematically express it as:

                             P ( X ≤ η ) = 0.5

- Then the median of "Y" distribution can be expressed with the help of the relation given:

                             P ( Y ≤ 1.8*η + 32 )

- The left hand side of the inequality can be replaced by the linear relation:

                             P ( 1.8*X + 32 ≤ 1.8*η + 32 )

                             P ( 1.8*X ≤ 1.8*η )   ..... Cancel "1.8" on both sides.

                            P ( X ≤ η ) = 0.5 ...... Proven

Hence,

- Through conjecture we proved that: (1.8*η + 32) has to be the median of distribution "Y".

b)

- Recall that the definition of proportion (p) of distribution that lie within the 90th percentile. It can be mathematically expressed as the probability of random variate "X" at 90th percentile :

                             P ( X ≤ p_.9 ) = 0.9 ..... 90th percentile

- Now use the conjecture given as a linear expression random variate "Y",

          P ( Y ≤ 1.8*p_0.9 + 32 ) = P ( 1.8*X + 32 ≤ 1.8*p_0.9 + 32 )

                                                 = P ( 1.8*X ≤ 1.8*p_0.9 )

                                                 = P ( X  ≤ p_0.9 )

                                                 = 0.9

- So from conjecture we saw that the 90th percentile of "X" distribution is also the 90th percentile of "Y" distribution.

c)

- The more general relation between two random variate "Y" and "X" is given:

                            Y = aX + b

Where, a : is either a positive or negative constant.

- Denote, (np) as the 100th percentile of the X distribution, so the corresponding 100th percentile of the Y distribution would be : (a*np + b).

- When a is positive,

                   P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

                                                 = P ( a*X ≤ a*p_% )

                                                 = P ( X  ≤ p_% )

                                                 = np_%        

- When a is negative,

                   P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

                                                 = P ( a*X ≤ a*p_% )

                                                 = P ( X  ≥ p_% )

                                                 = 1 - np_%        

                                                           

4 0
3 years ago
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