2.10.3 discuss: Group Discussion <br> For Apex

A dinner plate fits snugly in a square box with perimeter 48 inches. what is the circumference of the plate

Tema [17]

Answer: The circumference of the circle is: "37. 7 in." ; or, write as:
" 12 $\pi$ in. " .
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Explanation:
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A square has all 4 (four) sides of equal length.

If the perimeter of the square = 48 inches;

the side length of each side of the square = "48 in. ÷ 4 = 12 in." ;

→ "12 in. = the diameter, "d", of the circle within the square" .

The formula for the Circumference, "C" , of a circle, is:

"C = $\pi$ * d " ;

C = $\pi$ * d ;

d = 12 in.

C = " 12 $\pi$ in. " ;

or; calculate the Circumference, "C", of the circle; using: "3.14" as an approximation for $\pi$ ;

C = $\pi$ * d ;

= (3.14) * (12 in.) ;

= 37.68 in. ; round to: "37. 7 in." .
_____________________________________________________
Answer: The circumference of the circle is: "37. 7 in." ; or, write as:
" 12 $\pi$ in. " .
_____________________________________________________

4 0

4 years ago

Question 11: Please help, Which statement(s) should be used in proving that vertical angles 1 and 3 are congruent?

mihalych1998 [28]

Answer:

B. m < 1 + m < 2 = 180; m < 2 + m < 3 = 180.

Step-by-step explanation:

m < 1 + m < 2 = 180 so m < 1 = 180 - m < 2

m < 2 + m < 3 = 180 so m < 3 = 180 - m^2.

So by the transitive property of equality m < 1 = m < 3.

5 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

Im not sure how to solve, please help

grin007 [14]

34) (t-4)+(-4t+1)

Answer: -3t-3

36) 3(x^3-3x^2)+2

Answer: 3x^3-9x^2+2

38) (3x-1)(x^3-2-2x)

Answer: 3x^4-x^3-6x^2-4x+2

8 0

3 years ago

Which of the following is not the graph of a function of x?

Paraphin [41]

Answer:

i think it's the third one

6 0

3 years ago

2.10.3 discuss: Group Discussion For Apex