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telo118 [61]
3 years ago
15

Jaizelyn is sewing pillow and quilt sets for a customer. Each set has 2 pillows and 1 quilt. She uses 0.75 yards of material for

each pillow and 12 yards of material for each quilt. How many yards will she need for 3 sets of pillows and quilts?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
Set= 2 pillows + quilt
Set= (2×0.75)+12
Set= 13.5
3 sets= 3×13.5
3 sets=40. 5
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Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights
Fed [463]

Answer:

a) 615

b) 715

c) 344

Step-by-step explanation:

According to the Question,

  • Given that,  A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams

  • Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.

Z = (x - mean)/standard deviation

Now,

For x = 4171,  Z = (4171 - 3311)/860 = 1  

  • P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.

Next, multiply that by the sample size of 732.

  • Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171  

 

  • For part b, use the same method except x is now 1591.    

Z = (1581 - 3311)/860 = -2    

  • P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.

 

  • For part c, we now need to get two Z scores, one for 3311 and another for 5031.

Z1 = (3311 - 3311)/860 = 0

Z2 = (5031 - 3311)/860= 2  

P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772

  approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.

5 0
2 years ago
The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
ss7ja [257]
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
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Answer choice:  [C]:  " 7.2 units" .
___________________________________________
5 0
3 years ago
Can someone please help me with math.
Umnica [9.8K]

Answer:

9) C. 35 + 0.12x = 44.36

10) B

11) A. 32

Step-by-step explanation:

9)

44.36 is the TOTAL so the equations have to EQUAL it.

PER mile means it's a variable so it's 0.12x:

35 is a constant so there's no variable attached:

35 + 0.12x = 44.36

10)

B because you have to cancel the y values and to do that, you multiply the 1st equation by 3.

11)

0.1x + 0.25(46 - x) = 6.70

0.1x + 11.5 - 0.25x = 6.7

-0.15x = 6.7 - 11.5

-0.15x = -4.8

x = 32

5 0
3 years ago
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Murrr4er [49]

Answer:

Step-by-step explanation:

Sorry i dont know

8 0
3 years ago
70 times 10 by the power of 2
Svetradugi [14.3K]

Answer:

I'm not sure which you mean, so I'll give the answer to both:

70 X 10^2 = 7000\\(70x10)^2 = 490000

8 0
3 years ago
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