Answer:
d. The average is equal to 12 ounces.
Step-by-step explanation:
In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:
The correct alternative is d. The average is equal to 12 ounces.
Hello!!!!
Rounding becomes really easy if you know your places!
So, if you want to round 4.08 to the nearest tenth, all you would have to do is find the tenth place, in this case, the 8.
Since 8 is above 5, you can automatically round to 10.
So, your answer would be 5!
Hope I helped you!!!!! :)
Answer:
{-3,0,4,11}
Step-by-step explanation:
{(-3,6),(0,2),(4,7),(11,15)}
The domain is the input values, or x coordinates
{-3,0,4,11}
$\implies 2^{2x}-2\cdot5^{2x}-(2^x)(5^x)>0$
let $2^x=a$ and $5^x=b$
So, $a^2-2b^2-ab>0$
divide by $b^2$, ($b^2>0$)
$\implies \left(\frac ab\right)^2-\left(\frac ab\right) -2>0$
this is a quadratic, in $\left(\frac ab\right)$, let it be $x$
So, $x^2-x-2>0$
Can you simplify it now?
Recall the dot-product is just <a,b> • <c,d> => a*c + b*d.
therefore here is just 5*(-8) + 7* 2, or namely -26.
