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Nezavi [6.7K]
3 years ago
5

Simplify the expression 1/2x+3-1/4x-3

Mathematics
1 answer:
tatuchka [14]3 years ago
8 0
ANSWERRR........... X/4
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B. x>90

Step-by-step explanation:

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Find the value for y that makes the statment true y÷4=44​
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<u>y=176</u>

Step-by-step explanation:

<em>176/4= 44</em>

<em>44x4=176</em>

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In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To
statuscvo [17]

Answer:

a

t = 1.9166

b

The nutritionist does not have sufficient evidence to reject the writers claim

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  = 75

   The sample size is  n = 20

    The sample mean is  \= x  =  78

    The standard deviation \sigma  = 7

    The level of significance is   \alpha  =  0.05

Now the

    Null  Hypothesis is  H_o  :  \mu =  75

    Alternative Hypothesis is  \mu \ne 75

generally the degree of freedom is mathematically represented as

     df  =  n-1

    df  =  20 -1

    df  =  19

For a significance level of 0.05 and 19 degrees of freedom, the critical value for the t-test is 2.093. This is obtain from the t-distribution table

The test statistic is mathematically evaluated as

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

substituting values

        t =  \frac{78 - 75 }{\frac{7 }{\sqrt{20} } }

       t = 1.9166

Since the test statistic is below the critical value then the Null hypothesis can not be rejected

So we can conclude that the nutritionist does not have sufficient evidence to reject the writers claim

7 0
3 years ago
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