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Natali [406]
3 years ago
7

the rectangles on a quilt are 2in. wide and 3in. long the perimeter of each rectangle is made by pattern of ref thread. if there

are 30 rectangles in the quilt, how much red thread is needed 
Mathematics
1 answer:
maria [59]3 years ago
3 0
2(2)+2(3)=10 inches per rectangle, multiplied by 30 rectangles= 300 inches of red thread.
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How do you find the radius of a circle with a circumference of 12pi
sergejj [24]

Answer:

6

Step-by-step explanation:

The circumference of a circle is 2\pir\pi r, so 12\pi=2\pi r\\12=2r\\r=6.  We can use this because the area of a circle is \pi r^2.  Thus, \pi*6^2=36\pi.

4 0
3 years ago
8.6 - 5.36 plz help me
olga nikolaevna [1]

Answer:

3.24

Step-by-step explanation:

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Help with #9 linked above! Please help!
jasenka [17]

y = A(Bx - C)ⁿ + D

A is a vertical stretch (or shrink if |A| < 1)

B is a vertical shrink (or stretch if |B| < 1)

C is a shift to the right (or left if C is negative) → notice that Bx - C is "-C" so to take the opposite

D is a shift up (or down if D is negative)

when C = -3, it is a shift to the left 3 units

when D = -7, it is a shift down 7 units

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6 0
3 years ago
A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the
In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

5 0
3 years ago
Suppose 232subjects are treated with a drug that is used to treat pain and 50of them developed nausea. Use a 0.01significance le
Margarita [4]

Answer:

A

   The  correct option is B

B

   t =  0.6093

C

 p-value  =  0.27116

D

The  correct option is  D

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  232

    The  number that developed  nausea  is X =  50

    The population proportion is  p  =  0.20  

 

The  null hypothesis is   H_o : p  =  0.20

The  alternative hypothesis is  H_a :  p > 0.20

Generally the sample proportion is mathematically represented as

     \r p  =  \frac{50}{232}

     \r p  =  0.216

Generally the test statistics is mathematically represented as

 =>           t =  \frac{\r p  -  p }{ \sqrt{ \frac{p(1- p )}{n} } }

=>           t =  \frac{ 0.216 - 0.20 }{ \sqrt{ \frac{ 0.20 (1- 0.20 )}{ 232} } }

=>        t =  0.6093

The  p-value obtained from the z-table is

       p-value  =  P(Z >  0.6093) =  0.27116

  Given that the  p-value >  \alpha  then we fail to reject the null hypothesis

5 0
3 years ago
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