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3 years ago

There are

1 answer:

6 0

First take the total of students ( 18 + 22 ) = 40. To calculate the percentage take the total of boys and divide it by the total of 40, and multiply by 100%. That gives 22 : 40 x 100% = 55. So the probability that a boy has the letter is 55%.

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The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.

n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p= $-0. 4t^2+128t+1,200$

For population to disappear, p =0

$-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115$

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

To learn more about quadratic equation, refer to the link-

brainly.com/question/1214333

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7 0

1 year ago

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. find the missing te

Allisa [31]

The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

5 ± 3i

To find the quadratic equation:

(x - (5+3i))(x - (5-3i))

$\rm =x^2+x\left(-\left(5-3i\right)\right)-\left(5+3i\right)x-\left(5+3i\right)\left(-\left(5-3i\right)\right)$

= x² -10x + 34

The missing value is 10x

The quadratic equation is:

= x² -10x + 34

Thus, the missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

Learn more about the complex number here:

brainly.com/question/10251853

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6 0

2 years ago

8-3(6-6x) please help

Helen [10]

Hope this helps have a nice day

4 0

3 years ago

Read 2 more answers

Yesterday the temperature at noon was 11.4°F by midnight the temperature had decreased by 15.7° what was the temperature at midn

lina2011 [118]

11.4 - 15.7 = -4.3. The temperature at midnight is -4.3<span>°F.

Hope this helps! Have a great day :)</span>

3 0

3 years ago

Read 2 more answers

The average summer vacation costs $2252. If 82% of this amount is charged on credit cards, then what amount of the vacation cost

expeople1 [14]

Answer: $1846.64

Step-by-step explanation:

Given : The average summer vacation costs $2252.

If 82% of this amount is charged on credit cards, then the amount of the vacation cost is charged will be :-

$82\%\text{ of }\$2252\\\\\text{Convert percent into fraction by dividing it by 100, we get}\\\\=\$[\dfrac{82}{100}\times2252]\\\\=\$[\dfrac{184664}{100}]\\\\=\$1846.64$

Therefore the amount of the vacation cost is charged= $1846.64

3 0

2 years ago