MATHEMATICS COLLEGE

72. Which best describes the polynomial -5x^3?Third degree binomial


First degree trinomial


Third degree monomial


Third degree binomial

Answers

Answer 1
Answer:

-5x^3?

This is a third degree monomial

It has one term so it is a monomial

the exponent is to the power of 3 so it is third degree
Answer 2
Answer:

Answer:

Third degree monomial.

Step-by-step explanation:

because it only has one number and is to the third degree

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Based on the information marked in the diagram, ABC and DEF must be congruent.True Or False?​
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PLEASE HELP- 25 points-what is the circumference of the circle. Diameter =9cm

Answers

Answer:

9π cm - exact value

28.26 cm - approximate value

Step-by-step explanation:

C = πd =9π cm - exact value

or

C=9π≈ 28.26 cm - approximate value

Which of the following statements are equivalent to the ratio 10:3? Choose all that apply-(5 points)
A. 28 days to 6 days
B. 120 meters to 8,000 meters
C. 2,000 pounds to 600 pounds
D. 300 seconds to 20 seconds
E. 250 cents to 75 cents
Need answer ASAP please

Answers

Answer:
C and E would be your answers
Explanation:
C is correct because If you multiple 10 by 200 you get 2,000 and then do 3 times 200 gets 600.
E is correct because if you do 10 x 25 it become 250 and if you do 3 x 25 it equals 75!!
—————
So sorry if I am wrong!!

Television viewing reached a new high when the global information and measurement company reported a mean daily viewing time of hours per household. Use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household. a. What is the probability that a household views television between 3 and 9 hours a day (to 4 decimals)? b. How many hours of television viewing must a household have in order to be in the 2%top of all television viewing households (to 2 decimals)? hours c. What is the probability that a household views television more than hours a day (to 4 decimals)?

Answers

Answer:

(a) The probability that a household views television between 3 and 9 hours a day is 0.5864.

(b) The viewing hours in the top 2% is 13.49 hours.

(c) The probability that a household views television more than 5 hours a day is 0.9099.

Step-by-step explanation:

Let X = daily viewing time of of television hours per household.

The mean daily viewing time is, μ = 8.35 hours.

The standard deviation of daily viewing time is, σ = 2.5 hours.

The random variable X is Normally distributed.

To compute the probability of a Normal random variable, first we need to compute the raw scores (X) to z-scores (Z).

z=(x-\mu)/(\sigma)

(a)

Compute the probability that a household views television between 3 and 9 hours a day as follows:

P(3<X<9)=P((3-8.35)/(2.5)<(X-\mu)/(\sigma)<(9-8.35)/(2.5))

                      =P(-2.14<Z<0.26)\n=P(Z<0.26)-P(Z<-2.14)\n=0.60257-0.01618\n=0.58639\n\approx0.5864

Thus, the probability that a household views television between 3 and 9 hours a day is 0.5864.

(b)

Let the viewing hours in the top 2% be denoted by x.

Then,

P (X > x) = 0.02

⇒ P (X < x) = 1 - 0.02

    P (X < x) = 0.98

⇒ P (Z < z) = 0.98

The value of z for the above probability is:

z = 2.054

*Use a z-table for the value.

Compute the value of x as follows:

z=(x-\mu)/(\sigma)\n2.054=(x-8.35)/(2.5)\nx=8.35+(2.054* 2.5)\nx=13.485\nx\approx13.49

Thus, the viewing hours in the top 2% is 13.49 hours.

(c)

Compute the probability that a household views television more than 5 hours a day as follows:

P(X>5)=P((X-\mu)/(\sigma)>(5-8.35)/(2.5))

                =P(Z>-1.34)\n=P(Z<1.34)\n=0.90988\n\approx0.9099

Thus, the probability that a household views television more than 5 hours a day is 0.9099.

Identify equations from visual models (hangerThe hanger image below represents a balanced equation.
р
p
р
Write an equation to represent the image.

Answers

Answer: 3p=1/2

Just do it right now

How many randomly selected employers must we contact in order to create an estimate in which we are 95​% confident with a margin of error of 9​%? ​b) Suppose we want to reduce the margin of error to 4​%. What sample size will​ suffice? ​c) Why might it not be worth the effort to try to get an interval with a margin of error of 1​%?

Answers

Answer:

a)n=543

b)n=1509

c)n=13573

Step-by-step explanation:

a)

c=98%,

E=0.05

Margin Error E=Zα/2√p(1-p)/n

but n=((Zα/2)/n)²×p(1-p)

where the confidence level is 1-α=0.98

cross multiply

Zα/2=2.33

where p=0.5

input the values

n=(2.33/0.55)²×0.5(1-0.5)=543

n=0.33

b) E=0.33

E=Zα/2√p(1-p)/n

n=((Zα/2)/n)²×p(1-p)

1-α=0.01 confidence level

n=(2.33/0.33)²×0.5(1-0.5)=1504

n=1504

c) E=Zα/2√p(1-p)/n

n=((Zα/2)/n)²×p(1-p)

1-α=0.98

cross multiply

Zα/2=2.33

p=0.5

n=(2.33/0.01)²×0.5(1-0.5)=13573

n=13573

Annisa wrote an expression that represents“the product of 6.2 and the sum of 3c and 8.”
What are the factors of the expression?

Answers

Answer:

“the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

Step-by-step explanation:

Let us breakdown and translate the word expression into an algebraic expression.

The sum of 3c and 8 is algebraically represented as:

⇒ 3c + 8

Thus,  “the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.
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