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3 years ago

Determine which expressions are polynomials. Explain your reasoning.

Mathematics

1 answer:

jek_recluse [69]3 years ago

3 0

Answer:

Step-by-step explanation:

A polynomial is an expression containing two or more algebraic terms. They are often the sum of several terms containing different powers (exponents) of variables and never contains square roots or division by a variable.

In your case, option A contains square root, thus this expression is not a polynomial. Option C contains division by a variable, thus this is not a polynomial too.

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Have Retirement Benefits

charle [14.2K]

Answer:

(a) The probability of the intersection of events "man" and "yes" is 0.55.

(b) The probability of the intersection of events "no" and "man" is 0.10.

Step-by-step explanation:

The information provided is:

Yes No Total

Men 275 50 325

Women 150 25 175

Total 425 75 500

(a)

Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

$P(M\cap Y)=\frac{n(M\cap Y)}{N}=\frac{275}{500}=0.55$

Thus, the probability of the intersection of events "man" and "yes" is 0.55.

(b)

Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

$P(N\cap M)=\frac{n(N\cap M)}{N}=\frac{50}{500}=0.10$

Thus, the probability of the intersection of events "no" and "man" is 0.10.

(c)

Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

$P(W\cup N)=P(W)+P(N)-P(W\cap N)=\frac{175}{500}+\frac{75}{500}-\frac{25}{500}=0.45$

Thus, the probability of the union of events "woman" or "no" is 0.45.

5 0

3 years ago

Plzz look into the question in the attachements

iren2701 [21]

Given : Diameter of the right circular cone ==> 8 cm

It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)

Given : Volume of the right circular cone ==> 48π cm³

We know that :

$\bigstar \ \ \boxed{\textsf{Volume of a right circular cone is given by : $\pi r^2\dfrac{h}{3}$}}$

where : r is the radius of the circular cross-section.

h is the height of the right circular cone.

Substituting the respective values in the formula, we get :

$\mathsf{\implies \pi \times (4)^2 \times \dfrac{h}{3} = 48\pi}$

$\mathsf{\implies 16 \times \dfrac{h}{3} = 48}$

$\mathsf{\implies \dfrac{h}{3} = 3}$

$\implies \boxed{\mathsf{h= 9 \ cm}}$

<u>Answer</u> : Height of the given right circular cone is 9 cm

8 0

3 years ago

Need help with 2-5 plsssss

artcher [175]

Answer:

5) m∠DEF = 18

Step-by-step explanation:

I cant answer the rest because they require a protractor

7 0

3 years ago

You have a pickle recipe that requires 3 ounces of sugar. You want to make a triple batch of pickles. How much sugar do you need

White raven [17]

9 ounces of sugar needed

7 0

3 years ago

Matthew's dad hired him to paint 6 wooden patio chairs for $125. It takes him 9 hours to paint all of the chairs. If it takes th

frozen [14]

Given:

Matthew's dad hired him to paint 6 wooden patio chairs for $125.

Time taken by him to paint all of the chairs = 9 hours.

It takes the same amount of time to paint each chair.

To find:

The fraction of an hour does it take Matthew to paint one chair

Solution:

Total time = 9 hours

Total number of chairs = 6

Now, time taken by Matthew to paint one chair is

$\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{9}{6}$

$\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{3}{2}$

Therefore, Mattew takes $\dfrac{3}{2}$ of an hour to paint one chair.

Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.

8 0

3 years ago