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Phoenix [80]
3 years ago
14

Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points ea

ch in vocabulary words question worth five points each how much of each type of question are there
Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

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Answer:

If a + b = 0 then a = 0 and b =0

a  | b | a + b (answer)

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Step-by-step explanation:

Considering the following conditions for the real numbers:

a\geq 0\\b\geq 0

Following the rules of these in-equations, it is possible to deduce:

a + b \geq 0

Then, if the proposed statement is:

a + b = 0

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According to that, if  a + b = 0, then a = 0 and b = 0.

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And replacing we got:

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Step-by-step explanation:

Previous concepts

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Let X the random variable of interest, on this case we now that:

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

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

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Solution to the problem

For this case we want this probability:

P(X \geq 2)

And we can use the complement rule and we got:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

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And replacing we got:

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