Answer:
Tres respuestas posibles son:
2 y 3x^2 + x
2x y 3x + 2
x y 6x + 2
y hay muchas mas.
Step-by-step explanation:
Hay muchas respuestas posibles.
6x^2 + 2x = 2(3x^2 + x) = 2x(3x + 2) = x(6x + 2)
Answer:
B.)536 
Step-by-step explanation:
Find the volume of all the fish tanks.
Green fish tank...
4 x 9 x 6 = 216
Brownish fish tank...
4 x 4 x 8 = 128
Orange Fish tank...
6 x 4 x 8 = 192
Since we are COMBINING the fish tanks, we add the volumes.
216 + 128 + 192 = 536
536 
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The valid conclusions for the manager based on the considered test is given by: Option
<h3>When do we perform one sample z-test?</h3>
One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
- Population mean =
= $150 - Population standard deviation =
= $30.20 - Sample mean =
= $160 - Sample size = n = 40 > 30
- Level of significance =
= 2.5% = 0.025 - We want to determine if the average customer spends more in his store than the national average.
Forming hypotheses:
- Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get:

- Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically

where
is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:

The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
Learn more about one-sample z-test here:
brainly.com/question/21477856
Answer:


Step-by-step explanation:
Solve the following equation:
-In order to solve a pair of equations by using substitution, you first need to solve one of the equations for one of variables and then you would substitute the result for that variable in the other equation:
-First equation:

-Second equation:

-Choose one of the two following equations, which I choose the first one, then you solve for
by isolating

-Subtract
to both sides:

-Subtract
to both sides:


-Divide both sides by
:


-Multiply
by
:


-Substitute
for
in the second equation, which is
:


Multiply
by
:


-Combine like terms:


-Subtract
to both sides:


-Multiply both sides by
:


-After you have the value of
, substitute for
onto this equation, which is
:


-Multiply
and
:


-Since both
and
have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:


