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Ganezh [65]
3 years ago
10

Jason Charges $20 flat rate consulation fee plus $15 per hour for yardwork. He makes $170 on a job. How many hours did Jason wor

k ?
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0
He worked for 10 hours
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Pythagoras' theorem​
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The pythagoras theorem is a^2+b^2=c^2
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Which expression is equivalent to 3(7x – 5)?
Mamont248 [21]

Answer:

21x - 15

Step-by-step explanation:

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3 years ago
What is the value of m in the equation m-n= 16, when n=8?<br> O 20<br> O 32<br> O 44<br> O 48
Norma-Jean [14]

Answer:

24

Step-by-step explanation:

m-n=16

when n=8

m-8=16

or,m=16+8

or,m=24

3 0
3 years ago
What percent of increase for a population that changed from 25,000 to 30,000
tiny-mole [99]

percent of increase for a population that changed from 25,000 to 30,000

Increase in population = 30,000 - 25,000 = 5000

So, the increase in population is 5000

To find percent of increase , we divide the increase in population by initial population.

So percent of increase = \frac{5000}{25000} * 100

= 0.2 * 100

= 20 %

20% of increase for a population that changed from 25,000 to 30,000.

7 0
3 years ago
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A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
AveGali [126]

Answer:

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 15 \ months

   The sample size is  n =  25

   The sample mean is  \= x  = 17 \ months

   The standard deviation is  s = 5.5 \ months

Let assume the level of significance of this test is  \alpha  = 0.05

    The null hypothesis is  H_o :  \mu = 15

     The alternative hypothesis is  H_a : \mu  > 17

Generally the degree of freedom is mathematically represented as  

         df = n -1

=>       df = 25 -1

=>       df = 24

Generally the test statistics is mathematically represented as

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

=>   t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }

=>   t =  1.8182

Generally from the student t distribution table the probability of obtaining   t =  1.8182 to the right of the curve at a degree of freedom of df = 24  is  

    p-value  = P(t > 0.18182 ) = 0.4286

From the value obtained we see that  p-value > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is  supported by the trial results.

7 0
3 years ago
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