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2 years ago

Which best describes the difference between Protestant and Catholic beliefs?

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

7 0

Answer:

D. Protestant do not believe in the pope's authority.

Step-by-step explanation:

The most fundamental difference is that Protestants believe that everyone can directly communicate with God and the only authority is scripture, while Catholics believe that, in addition to everything else, there is also the authority of the church as a mediator between God and flock.

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Zander is in charge of filling goodie bags for the upcoming school party.He plans to order prizes from an online party store.The

VladimirAG [237]

2 gross finger puppets; 2 gross bookmarks; 4 gross assorted pencils; 2 gross animal erasers; 2 gross foam craft kits; 2 gross glow in the dark stickers.

This gives 14 gross prizes; 14*144 = 2016.
Expecting 225 guests, with 8 prizes per bag = 225*8 = 1800

This gives enough extra for 27 more bags, in case more people than expected show up.

3 0

2 years ago

F(x) = x(2x/2)/x(x+5)(x+6)^2 <br><br> Find the vertical asymptotes?

Alex Ar [27]

Answer:

x = -5, x = -6

Step-by-step explanation:

After canceling common terms from numerator and denominator, there are two factors remaining in the denominator that can become zero. The vertical asymptotes are at those values of x.

$\displaystyle F(x)=\frac{x\frac{2x}{2}}{x(x+5)(x+6)}=\frac{x}{(x+5)(x+6)}$

The denominator will be zero when ...

x + 5 = 0 . . . . at x = -5

x + 6 = 0 . . . . at x = -6

7 0

3 years ago

A machine fills containers with a particular product. Assume the filling weights are normally distributed with a variance of 0.1

Ghella [55]

Answer:

$z=-0.674$

And if we solve for $\mu$ we got

$\mu=12 +0.674*0.4=12.270$

So then the mean is $'mu = 12.270$ for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sqrt{0.16}= 0.4)$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>12)=0.85$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.85 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.85

If we use condition (b) from previous we have this:

$P(X$