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olganol [36]
3 years ago
13

Given the original number n. Multiply the number by 9. Add 99. Divide this sum by 9. Subtract the original number, n, from the q

uotient.
Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

11

Step-by-step explanation:

Hello,

Given the original number n.

\large \boxed{n}

Multiply the number by 9.

\large \boxed{9n}

Add 99.

\large \boxed{9n+99}

Divide this sum by 9.

\large \boxed{\dfrac{9n+99}{9}=n+11}

Subtract the original number, n, from the quotient.

\large \boxed{n+11-n=11}

Thank you.

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Rectangles A and B have the same perimeter but are different shapes Rectangle S is 5 inches long and 3 inches wide. Rectangle B
koban [17]
We know that
perimeter rectangle A=2*[5+3]-----> 16 in

let
x------> length side rectangle B
y-------> width  side rectangle B
so
x=6+y-------> equation 1
16=2[x+y]------> equation 2
<span>I substitute 1 in 2
</span>16=2*[6+y+y]-------> 16=2*[6+2y]-----> 16=12+4y-----> 4y=16-12
y=4/4--------> y=1 in
x=6+1---->x=7 in

the answer is
the dimensions of rectangle B are
length side is 7 in
width  side is 1 in

4 0
3 years ago
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
A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height o
Sliva [168]
Area = (base times height) / 2

Can rewrite it as

A= b * h * 1/2

16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64

Base = 4
Height = 8

Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)

7 0
2 years ago
my last question was deleted for asking whats 2+2 &amp; may i just say , i have learned from my consequence , that when im bored
castortr0y [4]

Answer:

4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Monica drinks 0.125 liters of milk during breakfast and 0.20 liters of milk after dinner everyday. Find the total amount of milk
pogonyaev

Answer:

A.  .325L

Step-by-step explanation:

All you have to do is had .125 with .20 to get your answer

4 0
3 years ago
Read 2 more answers
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