Answer:
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Answer: The volume of the figure is D.528 in^3
Step-by-step explanation: To find the volume of the rectangle box you have to use V=whl which is basically multiplying the width times the height times the length and you’ll get 384. After you do that you look for the volume of the pyramid using V=lwh/3. You have to multiply the length, width and height of the pyramid then divide it by 3 and get 144. You add 384 and 144 and get 528 in.
Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
Answer:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have 
and for the denominator we have 
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Step-by-step explanation:
Information given
represent the sampe size 1
represent the sample 2
represent the sample deviation for 1
represent the sample variance for 2
represent the significance level provided
The statistic is given by:
Hypothesis to test
We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:
H0: 
H1: 
The statistic is given by:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have and for the denominator we have and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Use this formula, it’s called distance formula
