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3 years ago

How to write equation and solve

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

Do you mean the phythagorus theorum: a squared + b squared= c squared

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7 0

3 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.

3 0

2 years ago

A company is offering to pay a stadium $750,000 per year for naming rights. If the administrative costs for this sponsorship are

juin [17]

Answer: The costs are 8.4% of the total revenue.

The stadium is going to make $750,000 for the naming rights of the stadium. The cost to the stadium is on $63,000.

To find the percent, we have to divide the two values and multiply by 100.

63000 / 750000 x 100 = 8.4%

7 0

2 years ago

Write a real world problem that could be solved by using the equation <img src="https://tex.z-dn.net/?f=3x-25%3D125" id="TexForm

forsale [732]

Answer:

x=50

See below for word problem.

Step-by-step explanation:

While shopping, you spend $125 before tax. You buy 3 dresses at the same price each and receive a $25 discount. How much is the price of each dress?

3x-25=125

3x=125+25

3x=150

x=50

8 0

3 years ago

If 2x+5= 12 for some value of x, then what does 6x+20 equal???

ANEK [815]

1. Solve for x in 2x + 5 = 12
2x + 5 = 12 Subtract 5 from both sides.
2x = 7 Divide 2 from both sides.
x = 3.5

2. Substitute 3.5 in for x in 6x + 20
6(3.5) + 20
21 + 20
41

Your answer is 41.

6 0

3 years ago

Read 2 more answers