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raketka [301]
2 years ago
13

Ben has 1/2 of a loaf of bread if he and his 3 friends share the 1/2 loaf equally how much of the whole loaf does each person ge

t?
Mathematics
2 answers:
Alisiya [41]2 years ago
8 0
To find the answer use division

1/2 ÷ 3
or
1/2 ÷ 3/1

To divide fractions use Copy Dot Flip

Copy 
<span>1/2 ÷ 3/1
</span>
Dot
1/2 · 3/1

Flip
1/2 · 1/3
1/6 is your answer
Dvinal [7]2 years ago
6 0
Given:
1/2 loaf of bread
3 friends

1/2 ÷ 3 ⇒ 1/2 * 1/3 = 1*1 / 2*3 = 1/6

In dividing fractions, get the reciprocal of the divisor and multiply it to the dividend
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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
The table shows the concentration of a reactant in the reaction mixture over a period of time.
saveliy_v [14]
<h3>Option C</h3><h3>The average rate of the reaction over the entire course of the reaction is: 2.0 \times 10^{-3}</h3>

<em><u>Solution:</u></em>

Average rate is the ratio of concentration change to the time taken for the change

Average\ rate = \frac{ \triangle c }{\triangle t }

The concentration of the reactants changes 1.8 M to 0.6 M

here, the time interval given is 0 to 580 sec

Therefore,

Average\ rate = \frac{1.8-0.6}{580} \\\\Average\ rate = \frac{1.2}{580} \\\\Average\ rate \approx 2.0 \times 10^{-3}

Thus option C is correct

5 0
2 years ago
Rewrite the expression (3a^2b^3c^5)/(8x^4y^3z)so that it has no denominator. (note: do not use a fraction line in your answer. a
Gemiola [76]
Use:

\dfrac{1}{a}=a^{-1}\\\\\dfrac{1}{a^n}=a^{-n}

\dfrac{3a^2b^3c^5}{8x^4y^3z}=3a^2b^3c^5\cdot8^{-1}x^{-4}y^{-3}z^{-1}

Answer: 3"8^-1a^2b^3c^5x^-4y^-3z^-1
5 0
2 years ago
Read 2 more answers
Jenna earns $7.75 per hour working at the mall. If Jenna worked hours 22 1/5 last week, how much did she earn before taxes were
drek231 [11]
Jenna would earn gross pay of $172.05
7 0
2 years ago
Colin buys a tv for £720. It depreciates at a rate of 4% per year. How much will it be worth in 3 years? Give your answer to the
SOVA2 [1]

Answer:

980

Step-by-step explanation:

4 0
2 years ago
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