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mariarad [96]
1 year ago
6

use the function notation to represent the area of a circle whose circumference is 133 cm.use the function notation to represent

the circumference of a circle whose area is 5.3 cm²

Mathematics
1 answer:
jeka941 year ago
3 0

The area of a circle with radius r is represented by the function h(r ); therefore using the function notation, the area of a circle whose radius is 133 cm is represented by

h(g(133))

(b).

The function that gives the radius as a function of area is

j(A)

and the function that gives the circumference as a function of radius is

f(r)

therefore, the function that gives

f(j(A))

When A = 5.4cm^2 we have

f(j(5.4))

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The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.20.
MatroZZZ [7]

Answer:

a) the probability is 0.0734 (7.34%)

b) the probability is 0.7382 (73.82%)

c) 10 boxes

Step-by-step explanation:

Since each box is independent of the others and defining the random variable X= number of boxes of cereal purchased without prices until having 2 prices , then X has a negative binomial distribution . Thus

P(X=k)= C(k+r-1,k)*p^k *(1-p)^r

where

p= probability to not obtain a price when a box is purchased = 1- 0.2 = 0.8

C ( ) = combinations

k = number of boxes without prices

r= number of boxes with prices=2

P(X=k) = probability of purchasing k boxes without prices until obtaining r boxes with prices

a) for k= 8 - r = 6

P(X=6)= C(7,6)*0.8^6*0.2^2 = 7*0.8^6*0.2^2 = 0.0734 (7.34%)

b) for k≥9-2=7

P(X≥7) = 1- P(X<7)= 1- Fn(X=7)

where Fn(X) is the cumulative negative binomial distribution. We can calculate it through its relationship with the cumulative binomial distribution Fb(X) that is easily found in tables :

Fn(k=7,r=2,p=0.8) = Fb(k=7,n=k+r=9,p=0.8) = 0.2618

thus

P(X≥7) = 1- P(X<7)= 1- Fn(X=7) = 1-  0.2618 = 0.7382 (73.82%)

c) the expected value E(X) for a negative binomial distribution is

E(X)= p*r/(1-p) = 0.8*2/0.2 = 8 boxes that do not contain prices

thus

n=k+r = 8 + 2 = 10 boxes

6 0
3 years ago
1/2 +b=1 3/4 <br><br> What does b represent and how to solve it?
LenKa [72]

Answer:

b= 5/4 or 1 1/4

Step-by-step explanation:

First I will make 1 3/4 into an improper fraction

1/2 + b = 7/4

Then I will make the fractions have common denominators

2/4 + b = 7/4

I subtract 2/4 from 7/4

b= 5/4

5 0
3 years ago
Read 2 more answers
Guys a little help here!
Ymorist [56]
I think the third one
3 0
2 years ago
Read 2 more answers
20 POINTS! Please help, best answer will recessive brainliest answer points as well as 5 stars and a thank you. :)
Kaylis [27]

Answer:

13

Step-by-step explanation:

Diagonals of a rhombus are perpendicular bisector.

Hence, triangle ABE so formed would be a right triangle right angled at E.

Therefore, by Pythagoras theorem:

AB =  \sqrt{AE^2 + BE^2 }  \\  \\  \therefore \: AB =  \sqrt{5^2 + 12^2 }  \\  \\  =  \sqrt{25 + 144}  \\  \\  =  \sqrt{169}  \\  \huge \red { \boxed{ \therefore \: AB= 13}}

8 0
3 years ago
Find the values for a and b that would make the equality true.
Crank

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on the right side.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b

Comparing like terms with - 6x² + 12x - 15

x - term → - 3a = 12 ( divide both sides by - 3 )

                    a = - 4

constant term → - 3b = - 15 ( divide both sides by - 3 )

                               b = 5

6 0
3 years ago
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