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3 years ago

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A wall is 4 m by 3 m. Which is the correct unit of measurement to use when figuring out how much paint to buy to cover the wall?

A. m B. m3 C. m2

1 answer:

7nadin3 [17]3 years ago

6 0

The answer would be b

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2h=w-3p<br> What does p equal?

Ksenya-84 [330]

2h-w/-3=p because you put everything on the other side except what your solving for.

8 0

3 years ago

Read 2 more answers

9.6.2: Converting from decimal to non-decimal bases. info About A number N is given below in decimal format. Compute the represe

larisa [96]

Answer:

g

Step-by-step explanation:

a) A good method to convert a decimal number to binary is dividing it by 2 and using the remainder of the division as the converted number, starting by the most significant bit (the right one). We we can't divide anymore. So we have:

217/2 = 108 + 1

108/2 = 54 + 0

54/2 = 27 + 0

27/2 = 13 + 1

13/2 = 6 + 1

6/2 = 3 + 0

3/2 = 2 +1

2/2 = 1

The binary equivalent to 217 is 11011001

b) To convert a number from decimal to hex we can divide the number by 16, taking out the decimal part and multiplying it by 16 using that as our most significant number while using the result of the original division to continue our conversion. So we have:

99/16 = 6.1875

The decimal part is 0.1875, we multiply it by 16 and obtain 3 as our most significant number. Since we can't divide 6 by 16 we have that as our least significant number then the hexadecimal equivalent is 63.

c) We follow the same steps as in item b:

344/16 = 21.5

The most significant number is 0.5*16 = 8

21/16 = 1.3125

The next number is 0.3125*16 = 5

Since we can't divide it anymore we have our result wich is 158 in hex.

d) To convert from decimal to base 7 we'll use the same method as to hex, but this time dividing and multiplying by 7.

136/7 = 19.428571

The most significant number is 0.428571 * 7 = 3

19/7 = 2.71428571

The next number is 0.71428571*7 = 5

Since we can't divide it anymore we have our result wich is 253.

e) To convert from decimal to a base 5 we'll use the same method as before but dividing and multiplying by 5.

542/5 = 108.4

The most significant number is 0.4*5 = 2

108/5 = 21.6

The next number is 0.6*5 = 3

21/5 = 4.2

The next number is 0.2*5 = 1

Since we can't divide it anymore we have our result that is 4132.

f) To convert from decimal to a base 8 we'll use the same method as before but dividing and multiplying by 8.

727/8 = 90.875

The most significant number is 0.875*8 = 7

90/8 = 11.25

The next number is 0.25*8 = 2

11/8 = 1.375

The next number is 0.375*8 = 3

Since we can't divide anymore we have our result wich is 1327

g) Following the same steps as before:

171/16 = 10.6875

The most significant number is 0.6875*16 = 11

Since we can't divide anymore we have our result wich is 1011

h) Following the same steps as before:

91/3 = 30.333333333

The most significant number is 0.333333*3 = 1

30/3 = 10

The next number is 0

10/3 = 3.3333333333

The next number is 0.333333*3 = 1

3/3 = 1

Since we have the final value remainder as 0 the least significant number is 1

Since we can't divide anymore we have our result that is 10101.

i) Following the same steps as before:

840/9 = 93.333333

The most significant number is 0.33333*9 = 3

93/9 = 10.3333333

The next number is 0.333333*9 = 3

10/9 = 1.11111111

The next number is 0.11111111*9 = 1

Since we cant divide anymore we have our result that is 1133

8 0

3 years ago

Part A: Factor x2b2 − xb2 − 6b2. Show your work. (4 points)

IrinaVladis [17]

PART A. Notice that we have $b^{2}$ as a common factor in all the terms, so lets factor that out:
$x^{2} b^2-xb^2-6b^2$
$b^2(x^{2} -x-6)$
Now we need can factor $x^{2} -x-6$ :
$b^2(x^{2} -x-6)$
$b^2(x+2)(x-3)$

We can conclude that the complete factorization of $x^{2} b^2-xb^2-6b^2$ is $b^2(x+2)(x-3)$ .

PART 2. Here we just have a quadratic expression of the form $a x^{2} +bx+c$ . To factor it, we are going to find <span>two numbers that will multiply to be equal the </span>c<span>, and will also add up to equal </span><span>b. Those numbers are 2 and 2:
</span> $x^{2} +4x+4=(x+2)(x+2)$
Since both factors are equal, we can factor the expression even more:
$x^{2} +4x+4=(x+2)^2$

We can conclude that the complete factorization of $x^{2} +4x+4$ is $(x+2)^2$ .

PART C. Here we have a difference of squares. Notice that 4, can be written as $2^2$ , so we can rewrite our expression:
$x^2-4=x^2-2^2$
Now we can factor our difference of squares like follows:
$x^{2} -2^2=(x+2)(x-2)$

We can conclude that the complete factorization of $x^2-4$ is $(x+2)(x-2)$

7 0

3 years ago

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 househo

nalin [4]

Answer:

$\mu = 56.8$

$\sigma = 12.1$

A)what is the probability that the sample mean will be More than 58 pounds

P(x>58)

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{58-56.8}{12.1}$

$Z=0.09917$

refer the z table

P(x<58)=0.5359

P(X>58)=1-P(x<58)=1-0.5359=0.4641

Hence the probability that the sample mean will be More than 58 pounds is 0.4641

B)what is the probability that the sample mean will be More than 57 pounds

P(x>57)

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{57-56.8}{12.1}$

$Z=0.0165$

refer the z table

P(x<57)=0.5040

P(X>57)=1-P(x<57)=1-0.5040=0.496

Hence the probability that the sample mean will be More than 57 pounds is 0.496

C)what is the probability that the sample mean will be Between 55 and 57 pound

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{57-56.8}{12.1}$

$Z=0.0165$

refer the z table

P(x<57)=0.5040

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{55-56.8}{12.1}$

$Z=-0.1487$

refer the z table

P(x<55)=0.4443

P(55<x<57)=P9x<57)-P(x<55) =0.5040-0.4443=0.0597

Hence the probability that the sample mean will be Between 55 and 57 pounds is 0.0597

D)what is the probability that the sample mean will be Less than 53 pounds

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{53-56.8}{12.1}$

$Z=−0.314$

refer the z table

P(x<53)=0.3783

The probability that the sample mean will be Less than 53 pounds is 0.3783

E)what is the probability that the sample mean will be Less than 48 pounds

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{48-56.8}{12.1}$

$Z=−0.727$

refer the z table

P(x<48)=0.2358

The probability that the sample mean will be Less than 48 pounds is 0.2358

5 0

3 years ago

Write the quadratic equation whose roots are 6 and -2, and whose leading coefficient is 4,

Zinaida [17]

Answer:

4x^2 - 16x - 48 = 0.

Step-by-step explanation:

In a factor form it is:

4(x + 2)(x - 6) = 0

Convert to standard form:

4(x^2 - 4x - 12) = 0

4x^2 - 16x - 48 = 0.

8 0

3 years ago

Read 2 more answers