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snow_lady [41]
3 years ago
8

I’m confused on math ( combining like terms ) ?

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0

Answer:combining like terms is technically putting values that have the same variable (letter) Or numbers together to make a more simplified equation

Step-by-step explanation:

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2. Round off the following numbers to two decimal places:
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Answer:

I think you mean significant figures

Step-by-step explanation:

  1. 46000
  2. 32000
  3. 560000
  4. 14000
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3 years ago
Prove that √3+√5 is an irrational​
Elden [556K]

Step-by-step explanation:

\sqrt{3}  +  \sqrt{5}  \\  =  \sqrt{8}  \\  = 2.828427125 \\ so \: is \: an \: irration

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3 years ago
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According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates
Salsk061 [2.6K]

Answer:

a)P(X\geq 11) = 0.198

b)P(X\leq 2) = 0.000565

c) Mean = 8.8

Step-by-step explanation:

1) Previous concepts

Binomial Distribution is a "discrete probability distribution which is used to calculate the probabilities for the independent trials and for each trial there is only two outcomes success or failure and probability for each success remains constant throughout each trial".

The Binomial distribution is a type of Bernoulli experiment with following properties:

a)There are two possible outcomes; success or failure.

b) Outcomes are independent on preceding result of a trial.

c) The probability of success remains constant throughout the experiment.

d)The number of successes are fixed.

The probability mass function for the Binomial distribution is given by:

P(X=a)=(nCa)(p)^x (1-p)^{n-x}

Where p is the probability of success, n the number of trials and x the number of successes that we want on the n trials.

X represent the number federal inmates that are serving time for drug dealing

p=0.55 represent the proportion of federal inmates that are serving time for drug dealing

n=16 random sample selected

2) Part a

The random variable X follows this distribution X \sim Binom(n,p)

On this case we want the following probability, and since says greater or equal than 11 we can express like this:

P(X \geq 11)=P(X=11)+P(x=12)+P(x=13)+P(x=14)+P(x=15)+P(x=16)

P(X=11)=(16C11)(0.55)^{11} (1-0.55)^{5} =0.112

P(X=12)=(16C12)(0.55)^{12} (1-0.55)^{4} =0.0572

P(X=13)=(16C13)(0.55)^{13} (1-0.55)^{3} =0.0215

P(X=14)=(16C14)(0.55)^{14} (1-0.55)^{2} =0.00563

P(X=15)=(16C15)(0.55)^{15} (1-0.55)^{1} =0.000918

P(X=16)=(16C16)(0.55)^{16} (1-0.55)^{0} =0.00007011

P(X \geq 11)=0.112+0.0572+0.0215+0.00563+0.000918+0.00007011=0.198

3) Part b

P(X \leq 2)=P(X=0)+P(x=1)+P(x=2)

P(X=0)=(16C0)(0.55)^{0} (1-0.55)^{16} =0.00000283

P(X=1)=(16C1)(0.55)^{1} (1-0.55)^{15} =0.0000552

P(X=2)=(16C2)(0.55)^{2} (1-0.55)^{14} =0.000507

P(X \leq 2)=0.00000283+0.0000552+0.000507=0.000565

4) Part c

The expected value for the binomial distribution is given by the following formula:

E(X)=np=16*0.55=8.8

So then the average number of federal inmates that are serving time for drug dealing on a sample of 16 is approximately 9.

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3 years ago
Where is the point at (2.5, -2.5) located
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Step-by-step explanation:

Go 2.5 units to the right from the origin (0,0) for your x coordinate

Go 2.5 units down from the origin (0,0) for your y coordinate

Where the lines meet is your point.

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I think these are the answers but i'm not to sure: 20.0. 15
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3 years ago
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