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n200080 [17]
3 years ago
15

the area of a rectangular plot 30 feet long and 20 feet wide will be doubled by creating a border around the plot. what width sh

ould the border be to accomplish this?
Mathematics
1 answer:
Phantasy [73]3 years ago
5 0
The area of the plot is 600 (20x30) and it needs to be 1200 (600x2)
only the width is changed so you divide it by the length which is 30 
1200 divided 30 is 40 so the answer is 40 (another way is to just multiply the width by 2 since it's the only thing changing)

hope this helps :)
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Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sampl
kompoz [17]

Complete Question

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal.the correct conclusion at \alpha =0.001 is?

Answer:

There is no sufficient evidence to support the professor believe

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu =  18

     The sample size is  n  =  15

      The sample mean is  \=  x  =  19

      The standard deviation is  \sigma =  1.7

      The level of significance is  \alpha  =  0.001

The null hypothesis is  H_o:  \mu = 18

The  alternative hypothesis is  H_a :  \mu > 18

 The critical value of the level of significance from the normal distribution table is    

         Z_{\alpha } =  3.290527

The test hypothesis is mathematically represented as

           t =  \frac{\= x  -  \mu }{ \frac{\sigma}{ \sqrt{n} } }

substituting values  

         t =  \frac{ 19  - 18}{ \frac{1.7}{ \sqrt{15} } }

         t =  2.28

Looking at the value of  t and  Z_{\alpha } we can see that t <  Z_{\alpha } so we fail to reject the null hypothesis.

This mean that there is no sufficient evidence to support the professor believe

     

       

3 0
4 years ago
A helicopter travels 640 miles in 4 hours and 960 miles in 6 hours. Find the slope in miles per hour.
Mkey [24]

Answer:

160 miles per hour

Step-by-step explanation:

640/4=160

960/6=160

6 0
3 years ago
Which statements about the value of the digits in the number 6,666,666 are true?
tatiyna

B. The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.

C. The digit in the ten thousands place is 10 times the value of the digit in the thousands place.

Hope this helps !

Photon
4 0
3 years ago
The distance between Henry's house and his school is 648 feet. How many yards are equivalent to 648 feet?
vlabodo [156]

Answer:

216 yards

Step-by-step explanation:

There are 3 feet in a yard, so the number of yards is equal to the number of feet divided by 3.

648/3 = 216

5 0
4 years ago
Read 2 more answers
Work out the size of angle ABC and give a reason for your answer
Mariulka [41]

Answer:

there is no picture so it is impossible to answer

Step-by-step explanation:

3 0
3 years ago
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