Stefan borrowed 8,950 for an engagement ring. At a 6.85% simple interest rate, how much total will he have paid after 6 years

At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p

ki77a [65]

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

If you want to choose 1 ingredient out of 7 you have 7 ways to do so.

If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so

If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so

If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so

If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so

If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so

If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0

3 years ago

Chance knows the length of a football field (including end zones) is 120 yards. The width of the football field is 53.33 yards.

Ira Lisetskai [31]

<span>6399.6 yds </span>approximately

6 0

3 years ago

Read 2 more answers

A recent survey of 128 high school students indicated the following information about release times from school.

Delicious77 [7]

Answer:

A) Interval estimate for those that want to get out earlier = (35%) ± (4%) = (31%, 39%)

Interval estimate for those that want to get out later = (39%) ± (4%) = (35%, 43%)

B) The group that wants to get out of school earlier can win after all the votes are counted if their true population proportion takes on a value that is higher than the closest true population proportion (for the group that wants to get out of school later)

That is, in the (31%, 39%) and (35%, 43%) obtained in (a), a range of (35.1%, 39%) and (35%, 38.9%) show how possible that the group that wants to get out of school earlier can win after all the votes are counted.

Step-by-step explanation:

The Interval estimate for the proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Interval estimate = (Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the proportion.

a) Find the interval estimates

i) for those that want to get out earlier and

ii) those that want to get out later.

i) Sample proportion of those that want to get out earlier = 35%

Margin of Error = 4%

Interval estimate for those that want to get out earlier = (35%) ± (4%) = (31%, 39%)

ii) Sample proportion of those that want to get out later = 39%

Margin of Error = 4%

Interval estimate for those that want to get out later = (39%) ± (4%) = (35%, 43%)

b) Explain how it would be possible for the group that wants to get out of school earlier to win after all the votes are counted.

Since the interval estimates represent the range of values that the true population proportion can take on for each group that prefer a particular option, the group that wants to get out of school earlier van have their proportion take on values between 31% and 39%. If their true population takes on a value that is highest (which is very possible from the interval estimate), and the group with the highest proportion in the sample, (the group that wants to get out of school later, whose true population proportion can take between 35% and 43%) has a true population proportion that is less than that of the group that wants to get out of school earlier, then, the group that wants to get out of school earlier can win after all the votes are counted.

Hope this Helps!!!

3 0

4 years ago

List the integers within the interval <br><img src="https://tex.z-dn.net/?f=%20%208%20%5Cleqslant%20x%20%3C%2016" id="TexFormula

Vera_Pavlovna [14]

Answer:

list the integers within the interval

Step-by-step explanation:

Greater than or equal to 8, so 8 is part of this list.

Less than 16, so 16 is not in this list.

6 0

3 years ago

Read 2 more answers

Determine which lines are parallel and which are not parallel. Explain your reasoning.

NeX [460]

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1) m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76° , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

6 0

2 years ago