What is the correct algebraic expression for the verbal expression "13 less than twice a number"?

MissTica

A rational number is a number that can be written as a simple fraction (as a ratio) and an irrational number is a number that cannot be written as a simple fraction (irrational means not rational) Example: 1.5 is rational because it can be written as 3/2. 7.5 is rational because it can be written as 15/2, so in my mind, yes it is rational because both top and bottom are rational. Hope this helped!! :):)

4 0

4 years ago

What is -416.56 in scientific notation

PolarNik [594]

Answer:

-4.1656x10^-2

Step-by-step explanation:

When doing scientific notation, the number must be represented between 0-9 (positive or negative) and the decimal place is then moved. In this case to get to 4 you must move the decimal left 2 places, so when you move to the left the exponent is negative

4 0

3 years ago

Orange M&M’s: The M&M’s web site says that 20% of milk chocolate M&M’s are orange. Let’s assume this is true and set

SOVA2 [1]

Answer:

The correct option is (A).

Step-by-step explanation:

Let X = number of orange milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is, p = 0.20.

The number of candies in a small bag of milk chocolate M&M’s is, n = 55.

The event of an milk chocolate M&M being orange is independent of the other candies.

The random variable X follows a Binomial distribution with parameter n = 55 and p = 0.20.

The expected value of a Binomial random variable is:

$E(X)=np$

Compute the expected number of orange milk chocolate M&M’s in a bag of 55 candies as follows:

$E(X)=np$

$=55\times 0.20\\=11$

It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.

This proportion is not surprising.

This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.

All unusual events have a very low probability, i.e. less than 0.05.

Compute the probability of P (X ≥ 14) as follows:

$P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}$

$=0.1968$

The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.

This probability is quite larger than 0.05.

Thus, the correct option is (A).

4 0

4 years ago

Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solu

Kisachek [45]

B- they both only have one solution

8 0

3 years ago

Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travel

ValentinkaMS [17]

Answer:

27 miles

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...

180° -50° -70° = 60°

Then the distance c can be found from ...

c^2 = a^2 +b^2 -2ab·cos(C)

c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732

c = √732 ≈ 27.055

The boats are 27 miles apart after 1 hour.

4 0

3 years ago