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Sedaia [141]
3 years ago
13

The lengths of the sides of a triangle are 10, 13, and 19. Classify the triangle as acute, right or obtuse.

Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0
It is abtuse angle because one of its angles is
110.72
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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
2 years ago
Which of the following equations has an infinite number of solutions?
trasher [3.6K]

Answer:

7x + 5 = 4x + 5 + 3x

5 0
3 years ago
How I can get the answer could you please tell me ?
valentina_108 [34]
Look it up after opening up a new tab

6 0
3 years ago
Jack broke apart 5×216 as (5×200) + (5×16) to multiply mentally. What strategy did Jack use
adell [148]
He used factoring to break it apart
8 0
3 years ago
There are approximately 17,620 people per square mile in New York City. If New York City is 468
Simora [160]

Answer:

8,246,160

Step-by-step explanation:

Population density

= people/area

Given

Population density of New York = 17,620 and

Area = 468 square mile

Therefore,

17620 = people /468

Cross multiply

People = 17620 x 468

= 8246160

There are 8,246,160 people in New York

6 0
3 years ago
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