What are the next three terms in the sequence? -112, -129, -146, ___________

Explain your answer.

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Explanation:

Define the following events

We are given the following probabilities

Then we're further told that "if it is dry, then the probability someone will arrive on time is 4/5". We can condense that into the notation

P(T given D) = 4/5

The "given D" means that we know 100% that event D has occurred. So we're seeing how event T behaves because of D occurring. In other words P(T given D) is the same as saying "What is P(T) when we know D has happened?"

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The instructions also mention that "If it rains, the probability someone is on time is 2/5" tells us we have the notation

P(T given R) = 2/5

And also, the probability someone is on time if it is snowy is

P(T given S) = 1/10

due to it saying "If it snows, the probability that someone will arrive on time is 1/10".

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To recap so far, your teacher told you these three conditional probabilities

They are conditional due to the "given" as part of the probability. They depend on the given event happening.

Subtract each fraction from 1 and we end up with these complementary probabilities

I'm using the idea that P(A)+P(B) = 1, where A and B are complementary events. One or the other event must happen. Either you are on time, or you are late.

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Recall the conditional probability formula is

P(A given B) = P(A and B)/P(B)

which rearranges to

P(A and B) = P(A given B)*P(B)

We'll use this idea to get the following

This means,

P(L) = P(L and D) + P(L and R) + P(L and S) ..... law of total probability

P(L) = 1/10 + 1/5 + 3/20

P(L) = 2/20 + 4/20 + 3/20

P(L) = (2+4+3)/20

P(L) = 9/20 is the probability someone is late

Answer:

32 : 9

Step-by-step explanation:

To write a ratio in its simplest form , the numerator and denominator should be reduced by their common factor(s).

64 = 2 × 2 × 2 × 2 × 2 × 2

18 = 2 × 3 × 3

⇒ Common factor of 64 & 18 is 2.

So , reducing 64 & 18 by 2 gives :-

[tex]\frac{64 \div 2}{18 \div 2} = \frac{32}{9}[/tex]

∴ Hence , the simplest form is 32 : 9.

Answer:

Area=33/2

Step-by-step explanation:

-1 -1 0= -11  -3=--14-50=-64

Answer:

-64-9a

Step-by-step explanation:

(✿◡‿◡)╰（‵□′）╯

Answer:

y = 5x + 14

Step-by-step explanation:

Let x = number of day and y = number of drawings.

She draws 5 drawings per day, so in x days, she draws 5x drawings.

She started with 14 drawings, so the total number of drawings in any day, x, is

5x + 14.

The equation is

y = 5x + 14

Answer:

180°

Step-by-step explanation:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.

Answer:

a= (c-b)/x

Step-by-step explanation:

subtract b to both sides

divide x to both sides

leaving a by itself.

Answer:

x = 7

Step-by-step explanation:

2(x + 2) = 3x - 3

2x + 4 = 3x -3

x = 7

9514 1404 393

Answer:

  y -10 = 1/8(x +8)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You have m = 1/8, and (h, k) = (-8, 10).

Putting those numbers in the form gives ...

  y -10 = 1/8(x -(-8))

You can simplify the double minus sign so you have ...

  y -10 = 1/8(x +8)

_____

Additional comment

A lot of math is about matching patterns and making substitutions. This is a good example of that.

Answer:

-9/2

Step-by-step explanation:

Hope this helps

sorry if it’s wrong

Answer:

It tells the anwser for some questions.

Step-by-step explanation:

Answer:

57%

Step-by-step explanation: Well, subtract 76 - 19 = 57. 57 of 100 = 57/100

57/100 = 57%

Answer:

nose lo que dice.....pero puedo tener esos 5 puntos......perdób

Answer:

-256

Step-by-step explanation:

Put a negative next to 2^8 and you'll get your answer.

Answer and Step-by-step explanation:

The equation y = -2x + 4 does NOT belong.

This equation has a negative slope, while the other equations have a positive slope.

#teamtrees #PAW (Plant And Water)

Answer:

Find "f(6)" __-8__

Find x when "f(x)=2" __x=1__

Step-by-step explanation:

For the first part, we will substitute 6 into the f(x) to get "-2(6)+4" When simplified further, you get "-12+4" which is "-8"

For the second part we will substitute the two as the answer of f(x) "-2x+4=2" Simplifying this further we get "-2x=-2" This means that x=1

Answer: 2²/₃ cups of raisins.

Step-by-step explanation:

Question wants to know the number of cups needed for 4 batches of oatmeal bars.

Each batch needs 2/3 cups of raisins to make.

If there are 4 batches to be made therefore, one must multiple the 2/3 cups to make one batch by 4 to find out the number needed to make 4 batches.

= 2/3 * 4

= 8/3

= 2²/₃ cups of raisins.

Answer: 24

Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.

4*6

Answer:

10

Step-by-step explanation:

Answer:

10 km

Step-by-step explanation:

total no of km covered=400

total no of trips=40

distance in each trip= 400/40

=10km

Answer:

2,100

Step-by-step explanation:

Answer:

−

=

4

4

+

=

1

Step-by-step explanation:

Answer:

32°F

Step-by-step explanation:

Given that,

The low temperature in New York in the month of February was -7°F. The following day, the  the temperature rose to a high of 25°F.

We need to find the change in temperature that day.

Change = final temperature - initial temperatur

Change = 25°F - (-7°F)

= 25 +7

= 32°F

so, the required change in temperature is 32°F.