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Arada [10]
3 years ago
5

Please I need serious help with this ASAP!!! I will mark brainliest if correct!! Please explain!!!

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer:

1. Given

2. Reflection property of congruence

3. Definition of a a midpoint

4. Reflexive property of congruence

5. CPCTC

Step-by-step explanation:

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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
How many real roots does a quadratic equation have if the discriminant is -3?
soldier1979 [14.2K]

\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{a}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\stackrel{\textit{no real roots}}{\textit{no solution}}\quad \checkmark \end{cases}

6 0
3 years ago
What inequality represents the verbal expression? all real numbers less than 70
neonofarm [45]

For this case we have:

Let x be the variable that belongs to the real numbers. Then, all reals less than 70 can be expressed as:

x

The tip of the inequality is directed to the real numbers, since they tell us that they are less than 70, for 70 the inequality remains open.

Answer:

x

5 0
3 years ago
A cab ride from your home to the airport cost $23.47. If you want to tip the cab driver close to 10 percent of the fare, how muc
Scorpion4ik [409]
A 10% tip on $23.47 is $2.35. To get this, you would multiply $23.47 by .1, which comes to 2.347,  rounding to $2.35.
4 0
3 years ago
Read 2 more answers
Ya
salantis [7]
Answer is x-2. it goes down 2.
6 0
3 years ago
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