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Elza [17]
2 years ago
6

Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x-3y=3​

Mathematics
1 answer:
vesna_86 [32]2 years ago
4 0

Answer:

y-2x=-1

y=-1+2x

y=-(2x-1)

y=-2x+1---->

6x-3y=3 (or 2x-y=1)

2x-(-2x+1)=1

2x+2x-1=1

4x=2

x=1/2

-------------

subtitate 1/2

y-2(1/2)=-1

y-1=-1

y=0

hope it helps you

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Assume that 63% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below
mash [69]

Answer:

a. 0.9931

b. 0.3423

c. 0.3907

d. 0.2670

e. 3.15

f. 1.0796

Step-by-step explanation:

The probability of the variable that said the number of left-handed people follow a Binomial distribution, so the probability is:

P(x)=nCx*p^{x}*(1-p)^{n-x}

nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

Where x is the number of left-handed people, n is the number of people selected at random and p is the probability that a person is left--handed. So P(x) is:

P(x)=5Cx*0.63^{x}*(1-0.63)^{5-x}

Then the probabilities P(0), P(1), P(2), P(3), P(4) and P(5) are:

P(0)=5C0*0.63^{0}*(1-0.63)^{5-0}=0.0069

P(1)=5C1*0.63^{1}*(1-0.63)^{5-1}=0.0590

P(2)=5C2*0.63^{2}*(1-0.63)^{5-2}=0.2011

P(3)=5C3*0.63^{3}*(1-0.63)^{5-3}=0.3423

P(x)=5C4*0.63^{4}*(1-0.63)^{5-4}=0.2914

P(x)=5C5*0.63^{5}*(1-0.63)^{5-5}=0.0993

Then, the probability P(x≥1) that there are some lefties among the 5 people is:

P(x≥1) = P(1) + P(2) + P(3) + P(4) + P(5)

P(x≥1) = 0.0590 + 0.2011 + 0.3423 + 0.2914 + 0.0993 = 0.9931

The probability P(3) that there are exactly 3 lefties in the group is:

P(3) = 0.3423

The probability P(x≥4) that there are at least 4 lefties in the group is:

P(x≥4) = P(4) + P(5) = 0.2914 + 0.0993 = 0.3907

The probability P(x≤2) that there are no more than 2 lefties in the group is:

P(x≤2) = P(0) + P(1) + P(2) = 0.0069 + 0.0590 + 0.2011 = 0.2670

On the other hand, the expected value E(x) and standard deviation S(x) of the variable that follows a binomial distribution is:

E(x)=np=5(0.63)=3.15\\S(x)=\sqrt{np(1-p)}=\sqrt{5(0.63)(1-0.63)}=1.0796

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ss7ja [257]

Answer:

the 4th one

Step-by-step explanation:

3 0
3 years ago
How to find 60% of 38
finlep [7]

Alright. So we know 60% is .6

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liq [111]
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We have 
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Min has a shelf filled with books. The books have different thicknesses. This line plot shows the thickness of each book. He pil
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Answer:

$2\frac{1}{4} \ inch$

Step-by-step explanation:

We have the four thickest books from the line plot given by

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So when the two $\frac{1}{2}$ inch thick book is being piled on the top of a $\frac{5}{8}$ inch thick books.

Therefore, the total thickness of the pile of books is given by :

$=2 \times \frac{1}{2}+2 \times \frac{5}{8}$

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$=2\frac{1}{4} \ inch$

Therefore, the thickness of the pile is $2\frac{1}{4} \ inch$ .

7 0
3 years ago
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