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4 years ago

What is the value of x in 2(x−8)=x+5x

Mathematics

1 answer:

harkovskaia [24]4 years ago

3 0

Answer:

x=-4

Step-by-step explanation:

Lets start by distributing '2' from the parenthesis,

2x-16=x+5x

Now, lest group terms from variable 'x', for that, subtract -2x to both sides of equation,

-16=x+5x-2x

We have.

-16=4x

Isolating x, we have x=-4

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4 years ago

Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

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3 years ago

A calculator costs $d. A school buys 90 calculators, and gets a $100 discount for bulk purchasing. How much did the school spend

erik [133]

Answer:

90d-100

Step-by-step explanation:

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3 years ago

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klemol [59]

6 students – 3 rolls of clay divided by each portion given to a student (0.5) equals 6, meaning only six students where able to receive some clay

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3 years ago

A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x

Pavlova-9 [17]

Since <em>x</em> is the number of 14-year periods, the first thing we do is divide 28 years by 14. 28/14=2. Now we use that in our function, $y=55*2^x$ .

$y=55*2^2=55*4=220$
There will be 220 foxes after 28 years.

6 0

3 years ago

What is the value of x in 2(x−8)=x+5x​

What is the value of x in 2(x−8)=x+5x