You flip 3 coins. What is the probability that you get exactly 2 heads?

Answers

Answer 1

Answer: the probability of one head must be 3/8. I believe there is a 50% chance of getting a toss of more then 1 head in 3 tosses.

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Nth term question help please

Answers

Answer:

$\displaystyle{a.) \ \ a_n = -2n+14}\n\n\displaystyle{b.) \ \ a_n = -5n+30}$

Step-by-step explanation:

Part A

The common difference is -2 as the sequence decreases down to 2 each. Thus, the sequence is an arithmetic sequence. To find the nth term of an arithmetic sequence, we can follow the formula:

$\displaystyle{a_n = a_1+\left(n-1\right)d}$

Where $a_n$ is the nth term, $a_1$ is the first term, and $d$ is the common difference which we know that it is -2. By substitution of values we know, we will have:

$\displaystyle{a_n = 12+\left(n-1\right)\left(-2\right)}\n\n\displaystyle{a_n = 12-2n+2}\n\n\displaystyle{a_n = -2n+14}$

Hence, the nth term of the sequence is $\displaystyle{\bold{a_n = -2n+14}}$

Part B

The common difference is -5 as the sequence decreases by 5 each. This also makes the sequence an arithmetic sequence. Thus, we can apply the same formula as we did previously. By substitution of known values, we will have:

$\displaystyle{a_n = 25+\left(n-1\right)\left(-5\right)}\n\n\displaystyle{a_n = 25-5n+5}\n\n\displaystyle{a_n = -5n+30}$

Hence, the nth term of the sequence is $\displaystyle{\bold{a_n = -5n+30}}$

What is the greatest common factor of 14 56 63?

Answers

The greatest common factor of 14, 56, and 63 is,

⇒ 7

We have to give that,

Numbers are,

14, 56 and 63

Since, The highest number that divides exactly into two more numbers, is called Greatest common factor.

Now, Factors of the numbers are,

14 = 2 x 7

56 = 2 x 2 x 4 x 7

63 = 3 x 3 x 7

Hence, the greatest common factor of 14, 56, and 63 is,

⇒ 7

To learn more about the Greatest common factors visit:

brainly.com/question/219464

#SPJ6

14: 1 × 14
      2 × 7

56: 1 × 56
      2 × 28
      4 × 14
      7 × 8

63: 1 × 63
      3 × 21
      7 × 9
GCF(14, 56, 63) = 7

For which data set is a linear regression most reasonable

Answers

Answer:

C. a set of four data pairs with a correlation coefficient r = –0.8

Step-by-step explanation:

The options for this answer are

A. a set of nine data pairs with a correlation coefficient r = –0.4

B. a set of five data pairs with a correlation coefficient r = 0.3

C. a set of four data pairs with a correlation coefficient r = –0.8

D. a set of six data pairs with a correlation coefficient r = 0.6

The correlation coefficient is a statistical measure about the relationship between two variables. Specifically, it tells if there's a positive or negative correlation, and how strong or weak it is.

The interval of a correlation coefficient is from -1 to 1, and the nearer the value gets to zero, the less correlation exist between variables. If the coefficient is near 1, that means there is a strong positive correlation, and if the coefficient is near -1, that means there's a strong negative correlation.

So, in this case, option C shows a correlation coefficient of -0.8, which is the "highest" coefficient among options, this means that it represents the strongest correlation among options.

Therefore, the best data set that fits a linear correlation is C.

If your data consists of scores from variables that are correlated or those that you already correlated with, then the most reasonable data statistical analysis would be a linear regression. This is used usually in order to determine if one variable predicts the other.

The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%. What is the machine’s value after 5 years? Round your answer to the nearest integer

Answers

When compounding you must use:
Original price x percentage^years
So..
500,000 x 0.9^5
= $295245 is the value after 5 years.

Which is bigger 45% or 5/11

Answers

5/11 > 4/100

quick note :

45% as a fraction can be :

45/100 or 9/20

40/100 or 4/10 or 2/5

The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?y – 13 = 5(x – 2)
y + 13 = 5(x + 2)
y – 2 = 5(x – 13)
y + 2 = 5(x + 13)

Answers

The point-slope form in general is $y-y_1=m(x-x_1)$

With the coordinate (-2,-13) being $(x_1,y_1)$ , and the slope m, is 5, from y = 5x – 3,

$y-y_1=m(x-x_1)$
$y-(-13)=5(x-(-2))$
$y+13=5(x+2)$

Answer:

its b :)

Step-by-step explanation:

i aint ever seen two pretty best friends

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