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Nataly [62]
3 years ago
14

Solve the expression x^2-100=0

Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

x = ± 10

Step-by-step explanation:

Given

x² - 100 = 0 ( add 100 to both sides )

x² = 100 ( take the square root of both sides )

x = ± \sqrt{100} ← note plus or minus, hence

x = ± 10

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tia_tia [17]

Answer:

it would or might be $103.25

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PlZZZ help picture attached
larisa86 [58]
1/2 divided by 1/6 is 3 or 3/1 
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3 years ago
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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
Bad White [126]

Answer:

The final answers are x = 1 OR x = -3.

Step-by-step explanation:

Given the equation is x^2 -3 = -2x

Rewriting it in quadratic form as:- x^2 +2x -3 = 0.

a = 1, b = 2, c = -3.

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x = ( -2 ± √(4 -4*1*-3) ) / (2*1)

x = ( -2 ± √(4 +12) ) / (2)

x = ( -2 ± √(16) ) / (2)

x = ( -2 ± 4 ) / (2)

x = (-2+4) / (2) OR x = (-2-4) / (2)

x = 2/2 OR x = -6/2

x = 1 OR x = -3

Hence, final answers are x = 1 OR x = -3.

8 0
2 years ago
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g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose
Nuetrik [128]

Answer:

We assume that we have a fair coin that is p(Head)=p(Tails)=0.5

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

X \sim Binom(n=20, p=0.5)

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

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

Where (nCx) means combinatory and it's given by this formula:

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

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

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

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

We assume that we have a fair coin that is p(Head)=p(Tails)=0.5

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

X \sim Binom(n=20, p=0.5)

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

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

Where (nCx) means combinatory and it's given by this formula:

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

3 0
2 years ago
At the end of year X, automobile installment credit accounted for 36 percent of all outstanding consumer installment credit. At
murzikaleks [220]

Answer:

option (c) 475

Step-by-step explanation:

let the automobile installment credit be 'C'

Given:.

Automobile installment credit accounted for 36 percent of all outstanding consumer installment credit

Now,

57 billion is \frac{1}{3} of automobile installment credit

or

57 billion = \frac{1}{3} × C

or

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or

C = 171 billion

now,

installment credit accounted = 36% of all outstanding consumer installment credit

or

171 billion = 0.36 × all outstanding consumer installment credit

or

All outstanding consumer installment credit = $475 billion

Hence, the correct answer is option (c) 475

4 0
3 years ago
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