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Neporo4naja [7]
3 years ago
11

.After traveling for 6.0 seconds, a runner reaches a speed of 10 m/s. What is the runner’s acceleration?

Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

1.67 m/s/s.

Step-by-step explanation:

Acceleration = increase of velocity/time

= 10/6

= 1.67 m/s/s.

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Which properties justify the steps taken to solve the system? {3x−2y=10 4x−3y=14
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The answer is: Substitution property of equality.

 The explanation is shown below:

1. To solve this problem you must apply the proccedure shown below:

 2. When you clear the variable x from the first equation, and subtitute it into the second equation, you obtain:

 <span>3x−2y=10
 x=(10+2y)/3

 4x−3y=14
 </span>4[(10+2y)/]−3y=14
<span> y=-2

 3. When you subsitute y=-2 into the first equation and clear the x, you have:

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An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t
7nadin3 [17]

Answer:

A

The  test statistics is  t  = -1.7

B

The  Null and  Alternative hypothesis are

      H_o  :  \mu = 47.2   and  H_a :  \mu \ne  47.2

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  47.2 miles/gallon(MPG)

    The sample size is  n =  250 \ van

     The  sample mean is  \= x  =  47.0

      The sample  standard deviation is  \sigma  =  1.9

      The level of significance is  \alpha  =  0.02

Given that the value which the manufacturer gave the automobile is  47.2 and  it is believed that this is not correct, then  

The  Null Hypothesis is  

        H_o  :  \mu = 47.2

The alternative Hypothesis  is  

        H_a :  \mu \ne  47.2

The test statistics can be mathematically evaluated as  

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

substituting values

        t  =  \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }

       t  = -1.7

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3 years ago
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