Suppose that whether it rains tomorrow depends on past weather conditions only through the last 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. Over the long term, what proportion of days does it rain

Answers

Answer 1

Answer:

The answer is "0.425".

Step-by-step explanation:

The  T be a requirement today that such rains.

The Y be a situation yesterday that now it rained.

The O is a condition for tomorrow to rain.

[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]

There Arena and morrow overview To Aspects Which will rain:

[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]

Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.

Its possibility of tomorrow's rain is:

[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]

       [tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]

      [tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]


Related Questions

Solve -17 = for x. x =

Answers

Answer:

-17

Step-by-step explanation:

Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.

How many more 10th graders than 9th graders were interviewed?

A 36
B 80
C 12
D 200

Answers

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

 

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

 

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

 

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

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convert 2.5 tons into pounds

Answers

i’m pretty sure it’s 5000 pounds

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

can someone please make a word problem for this I have no idea what to do

Answers

Answer: The ans is always c

Step-by-step explanation:

What do you mean and what does the problem have to be about? Ty :)

in which of the expression below does n=3 ? select all that apply.​

Answers

Answer:

B and C

if n=3 then 5ⁿ=5³=5×5×5=125

n³=3³=3×3×3=27

hope it helps :)

5. In the regular decagon shown, what is the measure of angle 1? *


1 point


One Exterior Angle of a REGULAR Polygon


OneEx 4 = 360


(


18 degrees


O


36 degrees


72 degrees


0


180 degrees

Answers

The image of the hexagon is missing, so i have attached it.

Answer:

∠1 = 36°

Step-by-step explanation:

From the image attached, we can see that the polygon is regular and has 10 sides.

Formula for an interior angle of a regular polygon is;

θ = 180(n - 2)/n

Where n is the number of sides of the polygon.

Thus;

θ = 180(10 - 2)/10

θ = 144°

Now, ∠1 forms a straight line with one of the interior angles of the polygon.

Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°

Thus;

144° + ∠1 = 180°

∠1 = 180° - 144°

∠1 = 36°

solve for the value of n

Answers

Answer:

N = 27

Step-by-step explanation:

The total value would be 90 , as it is a right triangle . Starting from the aforementioned number and subtracting it by the given values above shall reward you with the correct answer .

90 - ( 6 + 3 ) = 81

81 / 3 = 27

ALSO GIVE ME BRAINLIEST PLEASE :)

Answer:

i think 27??

Step-by-step explanation:

n+6 +90+2!+3=180

Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

L = 150

Step-by-step explanation:

y intercept: when x = 0

Plug in x = 0 into the equation.

L = 150

This means that Parker has not yet begun to pay his friend.

Evaluate f(-2): SHOW ALL WORK
f(x) = x - 4

Answers

Answer:

-6

Step-by-step explanation:

substitute x=-2

f(-2)=(-2)-4=-6

Answer:

- 6

Step-by-step explanation:

f(x) = x - 4

f( - 2) = - 2 - 4 = - 6

What is the value of x in the equation 3x − 2 = x + 8?

Answers

Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

   +2   +2

___________

3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x   -x

______

2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44

Answers

Answer:

X=4, y=5

Step-by-step explanation:

5x + 4y =40 equation 1

6x + 4y =44 equation 2

-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y

-5x - 4y=-40 modif equation 1

6x + 4y= 44  equation 2

         x=4.     Add above 2 equations

solve for y:

5x + 4y =40

5(4)+4y=40

20+4y =40

4y=20

y=5

check solution ;

6x+4y=44

6(4) + 4(5)=44

24 + 20=44

44=44

The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm

Answers

Answer:

B

Step-by-step explanation:

It's needing to be doubled in size. That should be it hope it helps

Please help

Extra hundred points and brainleist

Answers

Answer:

A

Step-by-step explanation:

It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.

PLEASE HELP ASAP I have no idea how to solve this pls pls pls

Answers

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

Find the range of this data set:225, 342, 288,552, 263.


Answers

Answer:

327

Step-by-step explanation:

552-225

I would really like some help with this. If anyone is able to help me.

Answers

Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

5. If two angles are complementary and one angle is 40°, what is the other angle?
6. If two angles are supplementary and one angle is 40°, what is the other angle?

Answers

5. complementary angles = 90°

90 - 40 = 50

50°

6. supplementary angles = 180°

180 - 40 = 140

140°

5) complimentary angles = 90

If one is 40 then the other is = 90-40= 50

6) Supplementary angles = 180

If one is 40 then the other is = 180 - 40 = 140

Hope u understand

Please mark as the brainliest

Thank You

Please help me with my work

Answers

Answer:

If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Step-by-step explanation:

Answer:

Down below is the answer.

Step-by-step explanation:

So, lets remember that the pythagreon theorm is only useable in right traingles.

The formula for the pythagreons theorm is A^2+B^2=C^2

So basically, if this is not a right triangle, the two sides(4ft^2 and 3ft^2) will be equivelent to 5ft^2.

Lets solve the pythagroens theorm and plug in our values:

4^2+3^2=5^2

Now lets use the square roots:

16+9=25

COmbine the two numbers:

25=25

This is correct!

So yes, this is a right triangle.

HOpe this helps! :)


The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6

Answers

Answer: Choice C)  9m^8

============================================================

Explanation:

Each side of the square is the same, so we have length = width in this case.

Length = 3m^4

Width = 3m^4

Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8

Note how m^4*m^4 leads to m^8. We add the exponents.

The general rule is a^b*a^c = a^(b+c).

Answer: 9m^8

*Use the distributive property.

(3m^4)^2 = 3^2 * (m^4 * m^2) = 9m^8

One experiment had 10 players spinning, another experiment had 100 players spinning. Which experiment is more likely to come closer to matching its theoretical probability.

Answers

Answer: Experiment with 100 players sprinting

Step-by-step explanation:

When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.

A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.

PLZ HELP I MAKE YOU BRAINILY!!!!!

Answers

Answer:

755.3

Step-by-step explanation:

The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.

The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.

Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.

Answer:

I think the answer is B: 755.3^3.

Step-by-step explanation:

Don't hate me if I'm wrong please!!!

To find the volume of multiple figures, just find the volume of each of them and add them together.

Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504

Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2

504 + 251.2 = 755.2

Since this is the closest answer, the answer is B: 755.3^3.

Please mark me as brainliest!!!!!

What is the perimeter of triangle PQR.
5 units
10 units

√5+3 √2units

2 √5 + √10 units

Answers

Answer:

Opps i am really sorry i donot know it

Answer:

Step-by-step explanation:

It's 5 units

solve the equation for y
1/2y - 21/4 = -35/4

Answers

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?

Answers

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder

What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5

Answers

Answer:

x → +∞, y → +∞

x → -∞, y → -∞

Step-by-step explanation:

The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.

Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).

Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.

Answers

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°

The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.

Answers

The equation would be h=(2A)/b

PLEASE HELP WITH THIS

Answers

Answer:

a.2

b.area of one triangular faces =9m²

2×9m²18m²

Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5

Answers

Given:

The polynomial is:

[tex]4p^3+2p^2+19p-5[/tex]

To find:

The degree and number of terms.

Solution:

Degree of a polynomial: It is the highest power of the variable.

Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".

We have,

[tex]4p^3+2p^2+19p-5[/tex]

In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.

The given polynomial can be written as:

[tex]4p^3+2p^2+19p+(-5)[/tex]

So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].

Therefore, the degree of the given polynomial is 3 and the number of terms is 4.

The classification by degree and number of terms of degree 3 and 4 terms

Degree of polynomial

Given the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.

The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3

Also, the given polynomial contains 4 terms.

In conclusion, the classification by degree and number of terms of degree 3 and 4 terms

Learn more on degree of polynomial here: https://brainly.com/question/25538519

Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place radius is 4cm

Answers

Area formula: pi * r^2
Given pi = 3.142 and r = 4
Plug in the values
Area = 3.142 * 4^2
Area = 3.142 * 16 = 50.272
Round to nearest 1 decimal place

Solution: 50.3 cm^2
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