Four times a number, added to the sum of the number and three

When determining if you have a perfect square trinomial, what must the first and third term be?

cricket20 [7]

The expansion of a perfect square is

$(a+b)^2 = a^2+2ab+b^2$

In words, the square of a sum of two terms is the sum of the squares of the two terms ( $a^2$ and $b^2$ ), plus twice the product of the two terms ( $2ab$ )

So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.

8 0

2 years ago

Which of the following ratios is equivalent to 49:35?

Arte-miy333 [17]

The best way to find it is to reduce each ratio you work with to its
lowest terms,and see which ones are equal. To reduce a ratio to its
lowest terms, divide each number by their greatest common factor.

First, the one that you're trying to match: 49:35 .
The greatest common factor of 49 and 35 is 7 .
Divide each number by 7 . . . 7:5 . . . that's what you have to match.

7:4
Their greatest common factor is ' 1 '.
No help at all, and this one is not it.

14:25
Again, their greatest common factor is '1 '.
No help at all, and this one is not it.

21:15
Their greatest common factor is ' 3 '.
Divide both numbers by 3 . . . 7:5 .
That's it !

8 0

2 years ago

Read 2 more answers

Find the nth term of the geometric sequence whose initial term is a1

Alborosie

Answer:

Step-by-step explanation:

geometric progresion formula:

$a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}$

6 0

2 years ago

Solve for the value of n.

frosja888 [35]

Answer:

n= 27

Step-by-step explanation:

To solve first subtract the 90-degree angle:

180-90= 90

Then, convert into an equation:

3n+9= 90

Subtract 9 from both sides:

3n=81

Then divide by 3:

n= 27

Hope this helps!

6 0

2 years ago

The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu

Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that $p = 0.7$

20 adults

This means that $n = 20$

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

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

$P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144$

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0

2 years ago