0.3 x 103<br>0 3 x 1025<br>Write the following as an ordinary number. [<br>(1 Point<br>3x10

Factor the trinomial 2x^2+15x+7

Mashutka [201]

Answer:

(2x+1)(x+7)

Step-by-step explanation:

2x2+15x+7

For a polynomial of the form ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15

.

Tap for more steps...

2x2+x+14x+7

Factor out the greatest common factor from each group.

Tap for more steps...

x(2x+1)+7(2x+1)

Factor the polynomial by factoring out the greatest common factor, 2x+1

.

(2x+1)(x+7)

3 0

2 years ago

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

7 0

2 years ago

Nuno set up a series of dominoes. he starts by knocking over 10 dominoes. every second after that, the number of dominoes that a

vesna_86 [32]

It will take 8 seconds for all of the dominoes to fall over.

This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...

"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.

The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:

$d(s)=10(1+1)^s
\\
\\2560=10(2)^s$

Divide both sides by 10:
$\frac{2560}{10}=\frac{10(2)^s}{10}
\\
\\256=2^s$

We will use logarithms to solve this:
$\log_2 256=s
\\8=s$

5 0

3 years ago

Read 2 more answers

Is writing a 3 before a square root symbol the same as writing it after a square root symbol?

attashe74 [19]

This depends as to whether you are just multiplying the square root by 3, or are doing a cube root function. In a cube root, the 3 would be located just at the bent part of the square root symbol, usually in a smaller font. If one just wanted to multiply a square root by 3, it does not matter whether or not the 3 comes before or after the root.

A cube root is equal to a value to the power of (1/3).

I hope this helps

4 0

3 years ago

Simplify the expression. What classification describes the resulting polynomial? (3x^2-11x-4)-(2x^2-x-6)

Gnoma [55]

The expression can be simplified to a polynomial of degree 2.

$x^2 - 10x + 2$