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3 years ago

The diameter of a circular tray is 28cm. Find the area of the tray. Take[Pi=22/7]

Mathematics

1 answer:

adoni [48]3 years ago

8 0

Answer:

616 cm²

Step-by-step explanation:

<u>Area of circle:</u>

A = πr² = 1/4πd²

<u>Since d = 28 cm and π = 22/7, the area is:</u>

1/4*22/7*28² = 616 cm²

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Use synthetic division to determine f(-2) for the function f(x)=9x^3-18x^2-16x+32

Verizon [17]

Answer: -80

Step-by-step explanation:

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3 years ago

John starts a saving account with $100. Every week he adds $6 to his account. Which equation can be used to determine the number

Artist 52 [7]

A would be your answer. If we did 220-100 and divide that by 6, you'd get the equivalent of w.

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3 years ago

Roberto debe leer un libro que contiene 340 páginas en cuatro días para lo cual planea la siguiente distribución de lectura: el

Murrr4er [49]

Answer: le quedan leer 295 páginas

Step-by-step explanation:

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3 years ago

Use synthetic division and remainder theorem p(x) = 3x^3 - 5x^2 - x + 2. p(-1/3)=

Alik [6]

Answer:

5/3

Step-by-step explanation:

-1/3 goes on the outside and since we have our polynomial in standard form with no in between terms missing, 3,-5,-1,2 go inside because they are the coefficients of our polynomial.

-1/3 | 3 -5 -1 2

-------------------------------------

First step bring the 3 down inside. (3+0=3)

-1/3 | 3 -5 -1 2

-------------------------------------

Whatever goes below the bar, must be multiplied by outside number and put directly below next number inside.

-1/3 | 3 -5 -1 2

| -1

-------------------------------------

The numbers lined up vertically are added to get the numbers underneath the bar.

-1/3 | 3 -5 -1 2

| -1

-------------------------------------

3 -6

Again any number below the bar gets multiply to the number outside.

-1/3 | 3 -5 -1 2

| -1 2

-------------------------------------

3 -6

Again the numbers lined up vertically above the bar get added to get the number that goes underneath the bar there.

-1/3 | 3 -5 -1 2

| -1 2

-------------------------------------

3 -6 1

Multiply to outside number 1(-1/3)=-1/3.

This goes under the 2 inside.

-1/3 | 3 -5 -1 2

| -1 2 -1/3

-------------------------------------

3 -6 1

The last number we are fixing to be put is the remainder of (3x^3-5x^2-x+2)/(x+1/3) or you could say it is the value of p(-1/3) since:

P(x)/(x-c)=Q(x)+R/(x-c)

Multiply both sides by (x-c):

P(x)=Q(x)(x-c)+R

If you evaluate P at x=c, we get R:

P(c)=Q(c)(c-c)+R

P(c)=Q(c)*0+R

P(c)=R.

Let's finish:

-1/3 | 3 -5 -1 2

| -1 2 -1/3

-------------------------------------

3 -6 1 5/3

This means p(-1/3)=5/3.

We could have also got this by directly plugging in (-1/3) for x into 3x^3-5x^2-x+2.

7 0

3 years ago

Assume that 8% of people are left-handed. We select 6 people at random. a) How many lefties do you expect? b) With what sta

klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$