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Sphinxa [80]
2 years ago
5

Rory loves chocolate. In one hour, he eats half of any amount of chocolate that he has. His sister, Kara, decided to treat him b

y giving him a bar of chocolate every hour. How many chocolate bars had Rory eaten at the end of the 2nd hour, just before Kara gave him the third chocolate bar?
Mathematics
1 answer:
Brrunno [24]2 years ago
8 0

Answer: 2 CHOCOLATE BARS

Pls mark brainliest

Step-by-step explanation:

If his sister gave 1 chocolate bar per hour and 2 hours pass he has 2 chocolate bard

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A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de
strojnjashka [21]

Answer:

a) P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

a= μ-3.16*σ , b= μ+3.16*σ

b) P(Y≥ μ+3*σ ) ≥ 0.90

b= μ+3*σ

Step-by-step explanation:

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90  →  1- σ²/(σ²+λ²)=  1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

5 0
2 years ago
On Monday morning there were 15 inches of snow on the ground. the temperature warmed up and by Tuesday morning 36 inches had mel
lesya692 [45]

Answer:

linear function, f(x)=-3x+15

Step-by-step explanation:

its ez

4 0
2 years ago
Read 2 more answers
The cost of tyre has increased by 20% to £78. work out the original price
tiny-mole [99]
The original price was 65
3 0
2 years ago
Which value is needed in the expression below to create a perfect square trinomial?
Klio2033 [76]

Answer:

The value which is needed to be added to transform the quadratic expression x^{2}+8x as a perfect square trinomial is 16.

Step-by-step explanation:

A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.  

The identity for (a+b)^{2} is given as follows:  

(a+b)^{2}=a^{2}+b^{2}+2\times(a)\times(b)

<u>Step 1:  </u>

Break down the given polynomial x^{2}+2\times(x)\times(4).

<u>Step 2:  </u>

Now compare the polynomial with the above indentity.  

On comparing it is observed that the value of a is x and the value of b is 4.  

<u>Step 3:  </u>

In order to make the polynomial x^{2}+8x+ a perfect square, add 16 to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.  

x^{2}+2\times(x)\times4+16  

<u>Step 4:</u>  

Now as per the identity (a+b)^{2}=a^{2}+2\times(a)\times(b)+b^{2} the polynomial x^{2}+2\times(x)\times4+16 is written as follows:  

(x+4)^{2}.  

Therefore, the perfect square for the given polynomial is (x+4)^{2} which is created by adding 16 to the given expression.  

Learn more:  

  1. A problem to obtain the y-intercept of a quadratic function brainly.com/question/1332667  
  2. A problem to obtain the binomial and trinomial brainly.com/question/1394854  

Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Quadratic expression  

Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.

6 0
2 years ago
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Ross purchases 3 cookbooks for $18.89 each, a set of measuring cups for $2.68, 4 kitchen utensils for $5.35 each and a cooling r
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Answer:

C. Ross has been overcharged by $3.75 for his purchase.

Step-by-step explanation:

7 0
2 years ago
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