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Brilliant_brown [7]
3 years ago
15

You and a friend stand back to back. You run 20 feet forward, then 15 feet to your right. At the same time, your friend runs 16

feet forward, then 12 feet to her right. She stops and hits you with a snowball.

Mathematics
2 answers:
Stells [14]3 years ago
4 0

Answer:

Distance traveled by the snowball  = 45feet

Step-by-step explanation:

The distance traveled by the snowball = distance of hypothenus for both Right angle triangle

1st pythagoras =

X² = 20² + 15²

X = (20² + 15²)¹/² = 25 feet

2nd pythagoras =

X² = 16² + 12²

X = (16² + 12²)¹/² = 20 feet

Distance traveled by the snowball = 20 + 25 = 45feet

postnew [5]3 years ago
4 0

Answer:

45 feet

Step-by-step explanation:

The image attached will provide the necessary explamations

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Answer:1,833

Step-by-step explanation: 5,500 divided by 3 is 1,833. Correct me if I’m wrong I think that’s what your doing

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3 years ago
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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
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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
3 years ago
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End of each of the next 20
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Answer:

Annual withdraw= $57,583.68

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $555,000

Interest rate (i)= 0.0825

Number of periods (n)= 20

<u>To calculate the annual withdrawals, we need to use the following formula:</u>

Annual withdraw= (PV*i) / [1 - (1+i)^(-n)]

Annual withdraw= (555,000*0.0825) / [1 - (1.0825^-20)]

Annual withdraw= $57,583.68

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Expanded notation 13.62
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Answer:

thirteen point six two

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