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mamaluj [8]
3 years ago
14

Evaluate.

Mathematics
1 answer:
tangare [24]3 years ago
7 0

Answer:

x +  \frac{1}{3}  \\  - 2.5 +  \frac{1}{3}  \\  \frac{ - 7.5}{3}  +  \frac{1}{3} \\   =  -  \frac{6.5}{ 3}  =  - 2.167

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A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. G
Xelga [282]

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

= 0.31216134411

Approximately = 0.312

0.343 + 0.03083865589

= 0.37383865589

Approximately to = 0.374

Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)

6 0
3 years ago
New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles sou
qwelly [4]

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}

       =\frac{ 2\pi  }{9}

Now calculating the distance:

=\frac{2\pi }{9} \times  4000\\\\= \frac{8000 \pi }{9}

=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles

4 0
3 years ago
HELP! XD
Sergeu [11.5K]
9*4.25=  38.25  square inches.
4 0
3 years ago
Hannah can paint a room in 8 hours. Destiny can paint the same room in 6 hours. How long does it take for both Hannah and Destin
Ksivusya [100]

Answer:

3 hours 26 minutes

Step-by-step explanation:

1/8 + 1/6 = 1/t  where t is the required time in hours.

Multiply through by 24t:-

3t + 4t = 24

7t = 24

t = 3 3/7 hours

or  3 hours 26 minutes to the nearest minute.

6 0
4 years ago
Could someone help me please
Rina8888 [55]

Answer:

the answer should be 30

Step-by-step explanation:

since you can divided 15 by 5 to get 3, you can multiply 10 x 3 to get 30

8 0
3 years ago
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