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Gala2k [10]
3 years ago
10

Which of the following is a perfect square trinomial?

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

x^2-5x+6\\(x-3)(x-2)

x^2-3x+4\\(x-4)(x+1)

x^2+20x+100\\(x+10)(x+10)\\(x+10)^2

That's the answer

x^2+14x-49\\x(x+14)-49

Only x^2+20x+100 is a perfect square trinomial

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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

6 0
3 years ago
Please help me with this. will give brainliest due in 5 minutes
anyanavicka [17]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60 percent of the it
Ilia_Sergeevich [38]
Hi

Left to do 40% of the shopping

12 items ⇒ 60% of the items
x items ⇒ 40% of the items

60x = 12(40)
60x = 480
x = 480/60
x = 48/6
x = 8 items 

Answer:

Left 8 items of the list (40% of the shopping)

Items: 12+8 = 20 items on her list
4 0
3 years ago
Read 2 more answers
If 2 divided by 2 is 1 what is 1 divided by 1?
Kaylis [27]

Answer:

1

Step-by-step explanation:

1 goes into 1 one time so it = 1

3 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIST
Elanso [62]

Answer:

slope= 10/9

y intercept= -11/9

Step-by-step explanation:

9y= 10x -11

y= 10/9x -11/9

slope= 10/9

y intercept= -11/9

4 0
3 years ago
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