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Colt1911 [192]
3 years ago
11

How do you calculate this? Help

Mathematics
2 answers:
Rus_ich [418]3 years ago
7 0
That is a lot of help
GenaCL600 [577]3 years ago
3 0

V = s^3 for a cube

V = (3.5 * 10^-2) ^3

  the numbers are cubed and the exponents are multiplied

V = (3.5)^3 *10^(-2*3)

V= 42.875 * 10^-6  m^3


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Answer:

The critical values for α = 0.10 are t=±1.7341.

Step-by-step explanation:

The critical values for a two tailed test are the values of t that are placed in the limit of the significance level. If the test statistic t is greater than this critical values, the null hypothesis is rejected.

To determine this values, we first divide the significance level by 2. With a t-table or app, we can determine the t values for P(x>|t|)=α/2=0.05.

In this case, for a degrees of freedom DF=20-2=18, we have the test statistic t=±1.7341 that satisfies the condition.

Solution of the hypothesis test

In this problem we want to prove if the slope of the regression model is different from 0, by means of a hypothesis test.

First, we state the null and alternative hypothesis:

H_0: B_1=0\\\\H_1: B_1 \neq 0

The significance level is \alpha=0.10.

The degrees of freedom for a simple regression model is:

DF=n-2=20-2=18

The standard error estimated of the slope is 0.0053.

The test statistic t is calculated as:

t=\frac{B_1}{SE}=\frac{0.0214}{0.0053} = 4.0377

The P-value for a two-tailed test for a t=4.0377 and DF=18 is:

P=0.00078

The P-value is smaller than the significance level, so the effect is statistically significant. The null hypothesis is rejected.

7 0
3 years ago
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
brilliants [131]
\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ -9}}\quad ,&{{ -3}})
\end{array}
\\\\\\
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slope = {{ m}}= \cfrac{rise}{run} \implies -6
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-3)=-6[x-(-9)]
\\\\\\
y+3=-6(x+9)\implies y+3=-6x-54\implies y=-6x-57
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Dennis_Churaev [7]
How long would it take $120/hr to add up to $1000?

Divide $1000 by $120/hr:  

 $1000
----------- = 8 1/3 hours, or 8 hours 20 minutes.
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8 0
2 years ago
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If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube?
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The <span>perimeter of a face of the new cube is 8 times larger than the previous cube.
</span>Let us say, the side of cube before increase is "a"
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6 0
3 years ago
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