Answer:
29 m³
Step-by-step explanation:
The applicable formula is ...
V = (1/3)Bh
Assuming the height is 10 m, the volume is ...
V = (1/3)(8.7 m²)(10 m) = 29 m³
_____
The shape of the base is irrelevant.
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Answer:
The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³
Step-by-step explanation:
Let x= the hippocampus volumes in the alcoholic adolescents
We'll conduct a hypothesis test at the 0.01 significance level with
Null hypothesis: x = 9.02 cm³
Alternate hypothesis: x < 9.02 cm³
A sample of 13 alcoholic adolescents gives the parameters
size=N= 13
mean=M= 8.12 cm³
standard deviation= s= 0.8 cm³
According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:
t=
where
- M is the sample mean (8.12)
- s is the standard deviation of the sample (0.8)
- N is the sample size (13)
If we put these numbers in the formula:
t=
=4.056
One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.
Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.
Answer:
5x - 4y = 0
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given 0 = - 5x + 4y ( multiply through by - 1 )
5x - 4y = 0 ← in standard form
Answer:
(-1, 3)
Step-by-step explanation:
to solve using substitution, you have to know the value of either x or y. in this example, they gave you the value of y already: y=x+4.
this means you can substitute the y for (x+4). if we substitute y for (x+4) in the equation y=-5x-2, we get this:
(x+4)=-5x-2
then solve for x
6x=-6
so x=-1
since we know the x value, we can solve for y
y=x+4
y=-1+4
y=3
so the final answer is (-1, 3)