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3 years ago

Write a function to give arbitrary probabilities (totalling 100%) to each face of a six-sided die.

1 answer:

7 0

P(A) = N/0
where P(A) equals Probability of any event occurring
N is the Number of ways an event can occur and
0 is the total number of possible Outcomes

P(A) = 1/6

Plainly the probability of rolling a six with a single six-sided dice is one event in which it lands with six uppermost, divided by six possible outcomes from a single throw, or one sixth (16.66 per cent).

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HELP ME ASAP PLSSSSSSSSSSS

adoni [48]

Answers:

Plane EFGH
Angle 2 and angle 3
Alternate exterior angles
See the explanation below

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Explanation:

Problem 1

The plane ABCD is the floor of the box or room.

The ceiling plane EFGH is parallel to the floor.

Parallel planes never intersect, must like how parallel lines in 2D never intersect. As such, parallel planes are the same distance apart.

In contrast, something like plane ABFE intersects with ABCD along the segment AB. This shows ABFE is not parallel to ABCD.

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Problem 2

Same side interior angles, aka consecutive interior angles, are inside the parallel (or nearly parallel) lines. One such example is angle 2 and angle 3. The other pair being angle 6 and angle 7. They must be on the same side of the transversal.

In contrast, alternate interior angles would be something like the pair angle 2 and angle 7. The other pair being angle 3 and angle 6. This time the angles are on alternating or opposite sides of the transversal.

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Problem 3

Angles 1 and 8 are exterior of the parallel (or nearly parallel) lines. They are on alternating sides of the transversal. Therefore, we consider them to be alternate exterior angles.

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Problem 4

The use of "alternate" refers to the idea the angles are on opposite or alternating sides of the transversal line. The transversal line is the line that crosses the two other lines that are almost parallel.

I like to think of the parallel (or nearly parallel) lines as train tracks. The transversal is the roadway that crosses both train tracks. Then we could have locations 1 and 8 on opposite sides of the roadways to represent the alternate exterior angles.

As you can probably guess or know by now, the "exterior" is from the angles being outside or exterior of the parallel (or nearly parallel) lines.

4 0

2 years ago

you secure a mortgage to buy a house with a loan of $140,000 at 8.5% for 20 years. answer the following questions about that loa

Yuri [45]

Answer:

monthly payment $1214.95
1st month's interest $991.67
balance after 1st payment $139,776.72
2nd month's interest $990.09
balance after 2nd payment $139,551.86

Step-by-step explanation:

The monthly interest rate is ...

$\dfrac{8\%}{12}=0.00708\overline{3}$

a) The monthly payment is given by the amortization formula:

A = Pr/(1 -(1+r)^-n)

where r is the monthly interest rate on a loan of amount P for n months.

A = $140,000(0.0070833)/(1 -(1.0070833^-240)) = $1214.95

The monthly payment is $1214.95.

b) The amount to interest is the product of the remaining principal and the monthly interest rate.

first month's interest = $140,000·0.0070833 = $991.67

c) The balance after the first payment is ...

new balance = $140,000 +991.67 -1214.95 = $139,776.72

d) The amount to interest for the second payment is computed the same way:

second month's interest = $139,776.72·0.00708333 = $990.09

e) The balance after the second payment is computed the same way:

new balance = $139,776.72 +990.09 -1214.95 = $139,551.86

8 0

4 years ago

A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D

Alika [10]

The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

$(y\times a)\times (y\times b)=9x$
$y^2ab=9x$
$y^2x=9x$
$y=3$

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is $5 \times 8=40$

And so then $x=40$

And then after the dilation, it would be $9x=9(40) = 360$

We could check it another way too. Since we said the scale factor is 3, then:

$( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360$

So basically 15 by 24 is the new dimensions :)

6 0

3 years ago

Convert 3510 to number in base 2

FrozenT [24]

Answer:

I think its 56.1248608016

Step-by-step explanation:

Use desmos.com

8 0

3 years ago

How can "12 of 40" be written as a simplified ratio?

vitfil [10]

<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ 12 : 40

==> 3 : 10

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

3 years ago

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