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3 years ago

Which graph show the solution to the following inequality

Mathematics

2 answers:

vivado [14]3 years ago

6 0

Answer: The second graph, counting from the top.

Step-by-step explanation:

We have inequality:

-2r + 3 ≥ 19

We can isolate r in this inequality, and get:

-2r ≥ 19 - 3 = 16

-r ≥ 16/2 = 8

Now we change the sign, this also changes the direction of the greater or equal than a sign:

r ≤ -8

So we will have that our graph must start at r = -8, and include all the numbers that are smaller than -8. (including the 8)

This graph is the second one.

Leto [7]3 years ago

4 0

-2r+3≥19
-2r≥16
r≤-8
second one

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70%70, percent of a number is what fraction of that number?

lesantik [10]

Hello there!

A number that is 70% of a number is 7/10 of that number in fraction form!

I hope this was helpful and have a great rest of your day!

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3 years ago

Read 2 more answers

A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly

earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<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.

In this problem:

A survey showed that 77% of us need correction, hence p = 0.77.

13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

$P(X \geq 12) = P(X = 12) + P(X = 13)$

In which:

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

$P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299$

$P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334$

Then:

$P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163$

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

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

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2 years ago

Please help!

Mrac [35]

Answer:

Equilateral triangles are sometimes

acute triangles.

Scalene triangles are never

acute triangles.

Right triangles are never

acute triangles.

Obtuse triangles are always

isosceles triangles.

3 0

3 years ago

quizlet "it is closed under addition and multiplication but not closed under subtraction or division."

deff fn [24]

Rational numbers are closed under addition ,multiplication but not closed under division

Rational number

Closure property

assume two rational numbers say x and y. the results of addition and multiplication operations give a rational number we can say that rational number are closed under addition and multiplication . For example

rational number are not closed under division as 1 and 0 are rational number but 1/0 is not defined but it is closed under addition and multiplication

that is 1+0 = 1 closed under addition

1*0 =0 closed under multiplication

but 1/0 is not defined so it is not closed under division

Hence Rational numbers are closed under addition ,multiplication but not closed under division

learn more of closure property here

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4 0

10 months ago

Need help fast!!!!!!!!

Kamila [148]

C. 2/3; reduction
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3 years ago