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kodGreya [7K]
3 years ago
8

Please solve the following inequality thank you.

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

1/4, 7/4

Step-by-step explanation:

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The slope of the line is 1

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B) If you pick a gumball out of the bag and replace it 50 times, about how many times should you expect to
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Select the correct answer. Which pair of statements correctly compares the two data sets? A. The difference of the means is 1. T
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Answer:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

represent the mean for sample 1  

represent the mean for sample 2  

represent the sample standard deviation for 1  

represent the sample standard deviation for 2  

sample size for the group 2  

sample size for the group 2  

Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And the degrees of freedom are given by    

Replacing the info given we got:

 

The degreess of freedom are given by:

Now we can calculate the p value with the following probability:

 

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

8 0
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What are the vertex and x-intercepts of the graph of the function given below?
madreJ [45]
VERTEX
To determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex = -\dfrac{b}{2a}

y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex = -\dfrac{b}{2a}
x vertex =  -\dfrac{(-2)}{2(1)}
x vertex =  \dfrac{2}{2}
x vertex = 1

To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49

The vertex is (1, -49)

X-INTERCEPT
x-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)

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Answer:

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Step-by-step explanation:

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