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4 years ago

Is 5.78778777 a rational or irrational number?..

1 answer:

5 0

That number is the ratio of 578,778,777 to 100,000,000 , so it's rational.

Here's a surprising factoid:

ANY number that you can completely write down on paper with digits...
and a decimal point or a fraction bar if you need them ... is rational.

If you can write it down ... without saying "repeating" or using symbols ...
it's rational.

You might be interested in

Factorise the following completely 3ax+2ay+6bx+4by

marissa [1.9K]

Answer:

(a+2b)(3x+2y)

Step-by-step explanation:

3ax+2ay+6bx+4by = a(3x+2y)+2b(3x+2y) = (a+2b)(3x+2y)

4 0

3 years ago

Read 2 more answers

How many are 16 x 16 ?

timofeeve [1]

Answer:

256

Step-by-step explanation:

16 ×16= 256

Hope it works out for you

8 0

3 years ago

Which does not show a direct variation between x and y?

Dmitry [639]

$(1)\\direct\ variation\ between\ x\ and\ y:\ \ \ y=k\cdot x\ \ \ and\ \ \ k\in\ R\\\\Ans.\ NOT\ direct\ is\ D\\\\(2)\\f(x) = m\cdot x\ \ \ and\ \ \ f(6)=8\\\\ \Rightarrow\ \ \ m\cdot 6=8\ \ \ \Rightarrow\ \ \ m= \frac{8}{6} = \frac{4}{3} \ \ \ \ \Rightarrow\ \ \ \ Ans.\ D\\\\(3)\\f(x)=30x\ \ \ \Leftrightarrow\ \ \ \frac{f(x)}{x} =30\ \ \ \ \ \ \Rightarrow\ \ \ \ constans=30\ \ \ \ Ans.\ B.$

$\\\\(4)\\f(x)=m\cdot x\ \ and\ \ f(8)=56\\\\m\cdot8=56\ \ \Leftrightarrow\ \ m= \frac{56}{8} =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\\\\Ans.\ D.$

3 0

3 years ago

If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4?

Delicious77 [7]

Y=k/x
2.5=k/6
k=15

wheny x=4, y=15/4
y=3.75

6 0

3 years ago

The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper

4vir4ik [10]

Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

Step-by-step explanation:

Let the random variable X be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, p = 0.52.

The random variable X follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of X is:

$P(X=x)=(1-p)^{x}p$

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.52}{0.52}\\=0.9231$

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

$P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058$

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

8 0

4 years ago