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emmainna [20.7K]

3 years ago

9

PLEEAASSEE HELP!!!

1 answer:

Reika [66]3 years ago

7 0

Let's call the number x. The square of a number would be $x^{2}$ . This is 12 more than the number itself. 12 more than the number is 12+x.

Putting this together we get $x^{2} =x+12$
This is a quadratic equation so we set it equal to zero by subtracting x+12 from both sides. We obtain:

$x^{2} -x-12=0$

The left-had side factors as such:
(x-4)(x+3)=0

Since we have two expressions that when multiplied give zero either one or both equal zero. We set each equal to zero to obtain the solutions:
$x-4=0$ so x =4
and
$x+3=0$ so x=-3

The two solutions are 4 and -3

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Five books on Lisa's reading list are fiction. If this is 20% of her entire reading list, how many books does Lisa have in all?

tresset_1 [31]

So if Lisa's reading list is 20% fiction, that's 20/100. So how can you simplify 20/100 so that the top number (the numerator) is 5?
If you divide both numbers by 4 (the same as dividing the fraction by 4), then you get 5/25. That means 5 out of 25 books are fiction. Her reading list is 25 books long.

7 0

3 years ago

Read 2 more answers

2. It has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if

Darina [25.2K]

Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.

<h3>What is the binomial probability 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:

About 30% of frozen chickens are contaminated, hence $p = 0.3$ .

Chickens are delivered to grocery stores in crates of 24, hence $n = 24$ .

The probability that a certain crate has <u>more than 4 contaminated</u> chickens is:

$P(X > 4) = 1 - P(X \leq 4)$

In which:

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

Then

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

$P(X = 0) = C_{24,0}.(0.3)^{0}.(0.7)^{24} = 0.0002$

$P(X = 1) = C_{24,1}.(0.3)^{1}.(0.7)^{23} = 0.0020$

$P(X = 2) = C_{24,2}.(0.3)^{2}.(0.7)^{22} = 0.0097$

$P(X = 3) = C_{24,3}.(0.3)^{3}.(0.7)^{21} = 0.0305$

$P(X = 4) = C_{24,4}.(0.3)^{4}.(0.7)^{20} = 0.0687$

Hence

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0002 + 0.0020 + 0.0097 + 0.0305 + 0.0687 = 0.1111$

0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0

3 years ago

Can someone please help me with all of these. And thank you.

lawyer [7]

Answer/Step-by-step explanation:

1. x = -3.6

Add 1 on both sides.

18x = 23x + 18

Subtract 23x on both sides.

Combine like terms.

Divide the answer.

-5x = 18

x = -3.6

2. x = 11/3 (2.66666...)

Add 5 on both sides.

6x = 3x + 11

Subtract 3x on both sides.

Combine like terms.

Divide the answer.

3x = 11

x = 11/3

3. x = 23

Subtract 12 on both sides.

5x = 6x - 23

Subtract 6x on both sides.

Combine like terms.

Divide the answer.

-x = -23

x=23

(that's all.)

7 0

2 years ago

Can you help me with this math il give you 100 points

abruzzese [7]

I'd he happy to, But you forgot to post the question.

8 0

3 years ago

- 6 * 1/3=?please type the equation and simplify if possible

rosijanka [135]

We have to simplify this as a product of fractions. Notice that the 6 has a negative sign, therefore, the result will be negative. We have then:

$-6\cdot\frac{1}{3}=-\frac{6}{1}\cdot\frac{1}{3}=-\frac{6\cdot1}{1\cdot3}=-\frac{6}{3}=-2$

therefore, the simplified result is -2

3 0

2 years ago