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Llana [10]
3 years ago
13

B) If a half-marathon (13.1 miles) is 12 weeks after the

Mathematics
1 answer:
kipiarov [429]3 years ago
3 0
No, she will not be ready. If she has 12 weeks to train, she will only be able to run 11 miles.

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Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make
kow [346]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  99% confidence interval is  2.4309 <  \mu <   4.9328

Step-by-step explanation:

From the question we are told that

   The data is   3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4

    The sample size is  n  =  11

Generally the sample mean is mathematically represented as

     \= x  =  \frac{\sum x_i}{n}

=>  \= x  =  \frac{3+ 2+5+ \cdots +4 }{11}

=>  \= x  =  3.6818

Generally the sample standard deviation  is mathematically represented as

    \sigma  =  \sqrt{\frac{\sum [ x_i - \= x ] }{n} }

=>  \sigma  =  \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2   }{11} }

=>  \sigma  =  1.3091

Given that the confidence interval is 99% then the level of significance is mathematically represented as

         \alpha= (100 - 99) \%

=>      \alpha= 0.01

Given  that the sample size is small we will making use of t distribution table  

Generally from the t distribution table the critical value  of   at a degree of freedom of  is  

   t_{\frac{\alpha }{2} , 10 } =3.16927267

Generally the margin of error is mathematically represented as  

      E =  3.16927267  *  \frac{1.3091 }{\sqrt{11} }

     E = 1.251

Generally 99% confidence interval is mathematically represented as  

      3.6818 -1.251 <  p < 3.6818 + 1.251

=>    2.4309 <  \mu <   4.9328

8 0
3 years ago
What is the solutiion to this system 3x+2y=8 -x=+y=-11
mr Goodwill [35]

Answer:

2, 19, -3

Step-by-step explanation:

3 0
3 years ago
Type the expression that results from the following series of steps:
MakcuM [25]
N+2….but I think there is something missing
3 0
3 years ago
For what value of x is the equation 2^2x+7 = 2^15 true?
GenaCL600 [577]

Answer:

  x = 4

Step-by-step explanation:

We assume your equation is intended to be ...

  2^(2x+7) = 2^15

Equating exponents gives ...

  2x +7 = 15

  2x = 8 . . . . . . subtract 7

  x = 4 . . . . . . . divide by 2

The value of x is 4.

8 0
4 years ago
If h(x) = 48, find x
babymother [125]

Answer: 0523 i think this the answer i don't know

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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