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3 years ago

Which sentence represents the inequality -2b + 7 > 27.5? Help PLEASE!

Mathematics

2 answers:

AVprozaik [17]3 years ago

7 0

-2b + 7 > 27.5
- 2b > 27.5 - 7
- 2b > 20.5
b < - 10.25

wel3 years ago

3 0

Answer:

The sentence that represents the inequality "-2b + 7 > 27.5" is "negative two times a number plus seven is greater than twenty-seven and five tenths"

Step-by-step explanation:

The goal of this exercise is to translate the inequality (in math language) to a colloquial statement.

Let's do the translation part by part.

The expression "2b" can be translated to "two times a number".

Then, the expression "-2b" can be translated to "negative two times a number".

The expression "-2b + 7", as we are adding 7 to the previous expression, can be translated to "negative two times a number plus 7".

The expression "-2b + 7 > ...", means that the expression at the left of the inequality is greater than the one at the right. Then, it can be translated as "negative two times a number plus 7 is greater than ...".

Finally, the expression "-2b + 7 > 27.5", can be translated as "negative two times a number plus seven is greater than twenty-seven and five tenths"

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Answer:

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Step-by-step explanation:

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Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

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

$P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159$

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

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

$P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390$

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549$

More can be learned about the binomial distribution at brainly.com/question/24863377

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