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abruzzese [7]
2 years ago
8

A mother is 25 years older than her son. Write down the son's age and the mother's age​

Mathematics
1 answer:
sergejj [24]2 years ago
3 0

Answer:

mother age 37

sons age 12

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A research team is testing whether a fuel aditive increases a car's gas mileage. The maker of the additive claims that the addit
Thepotemich [5.8K]

Answer:

Yes  there is sufficient evidence to  reject the company's evidence

Step-by-step explanation:

From the question we are told that  

   The sample size is  n =  25

    The mean is  \= x = 5.3 \ mpg

     The standard deviation is  \sigma = 1.8 \  mpg

    The z-score is  z = -1.94

The null hypothesis is  H_o : \mu = 6 \ mpg

The alternative hypothesis is  H_a :  \mu \ne 6

 Generally the p-value is mathematically evaluated as  

           p-value   =  2 * P( Z

From the z table  the area under the normal curve to the left corresponding to    -1.94  is

         P( Z

=>  p-value   =  2 * 0.02619

=>  p-value   =  0.052

Let assume the level of significance is  \alpha = 0.05

 Hence the  p-value > \alpha this mean that

   The  decision rule is  

Fail to reject the null hypothesis

The conclusion is

 There is sufficient evidence to  reject the company's evidence

 

5 0
3 years ago
Explain the importance of graphs in interpreting data.
lina2011 [118]
The graph is important especially for the people who presenting something like the businessman or marketing personnel. The graphs summarizes the raw data and presents it into a diagram for the people to be easily comprehend. It allows to us to see the relationship between the variables.
3 0
3 years ago
Write the following sets in set-builder notation: (a) The set of all humans whose first name is Tanya or Nelson.
Ulleksa [173]

Answer:

Step-by-step explanation:

Set is a well defined collection of objects .

We can express set in roaster form or set - builder form

<u>Roaster Form</u>

We express elements within curly brackets using commas between the elements .

<u>Set Builder Form</u>

In set builder form , all the elements of the set possess a common property which is not possess by elements outside the set .

We describe the elements of set using a symbol x which is followed by a colon . After colon , we write property possessed by the element and then enclosed the description within curly brackets .

(a)The set of all humans whose first name is Tanya or Nelson

We need to write this one in set builder form .

Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }

5 0
3 years ago
(WILL MARK BRAINLIEST) Solve x^2-4x-12=0. SHOW YOUR WORK! show and DESCRIBE EACH STEP!
Natasha_Volkova [10]
<span>x^2 - 4x - 12 = 0
factors
(x - 6)(x + 2) = 0
</span>Set (x - 6) and (x + 2)<span> equal to </span><span>0</span><span> and solve for </span><span>xx</span>.<span>
x -  6 = 0; x = 6
x + 2 = 0; x = -2

answer
x = -2 or x = 6</span>
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3 years ago
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Find (7*10 to the sixth power) -
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