20 In a village,
if it rains on one day, the probability
that it will rain on the next day is 0.8
if it does not rain on one day, the probability that it will rain on the next day is 0.6
A weather forecaster says,
“There is a 70% chance that it will rain in the village on Monday.”
Work out an estimate for the probability that it will rain in the village on Wednesday.
lou must show all your working.

Answers

Answer 1

Using it's concept, it is found that there is a 0.643 = 64.3% probability that it will rain in the village on Wednesday.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, considering Monday - Tuesday - Wednesday, the possible outcomes are as follows:

R - R - R(0.7 x 0.7 x 0.7)

R - N - R(0.7 x 0.2 x 0.6)

N - R - R(0.3 x 0.6 x 0.8)

N - N - R(0.3 x 0.4 x 0.6)

Then, the probability is given by:

p = 0.7 x 0.7 x 0.7 + 0.7 x 0.2 x 0.6 + 0.3 x 0.6 x 0.8 + 0.3 x 0.4 x 0.6 = 0.643.

0.643 = 64.3% probability that it will rain in the village on Wednesday.

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Related Questions

Rewrite The following linear equations in slope intercept form y+2=4(x-3)

Answers

Answer:

the answer is y=4x-14

Step-by-step explanation:

I know that writing slope intercept form is extremely easy as you follow the y=mx+b formula. All that was really required was to simplify the equation and isolate the X and Y on separate sides of the equal. I hope this helps

Triangle ABC has a perimeter of 40 inches. What is AC?

Answers

Answer:

AC is a Side of Traingle .....................

The measure of the side length of AC will be 13 inches

What is the perimeter of a triangle?

Let the triangle be ABC. Then the perimeter of the triangle will be

Perimeter = AB + BC + CA

Triangle ABC has a perimeter of 40 inches.

The side's lengths are given as AB = 12 inches and BC = 15 inches.

Then the measure of the side length of AC will be

40 = 12 + 15 + AC

40 = 27 + AC

AC = 13 inches

The missing diagram is given below.

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At a factory, Joe assembles 12 parts each minute. He
has assembled 156 parts when Sheila starts on the line,
assembling at a pace of 15 parts per minute. If their
assembly rates continue, will Sheila ever catch up to Joe?
Explain and show all work.

Answers

Answer:

  yes, after 52 minutes

Step-by-step explanation:

If t represents the time in minutes each person is working after Sheila arrives, then the number of parts produced is ...

  Eric: 156 +12t

  Sheila: 15t

These values are equal when ...

  156t +12t = 15t . . . . . Eric's part count is equal to Sheila's part count

  156 = 3t . . . . subtract 12t

  52 = t . . . . divide by 3

Sheila will catch up to Joe after 52 minutes.

How do we find the difference between principal and interest?

Answers

Answer:

Principal is the money that you originally agreed to pay back. Interest is the cost of borrowing the principal.

Step-by-step explanation:

First, calculate the interest portion of the payment by multiplying the mortgage balance by the annual interest rate. Then divide the result by 12, for the number of months in the year:

Can anybody help me with any of these questions?

Answers

Answer:

I can't help sorry which grade ??

The Great Pyramid of Giza in Egypt is a square pyramid. The height is approximately 450 feet, and the side length of the base is approximately 750 feet. What is the lateral surface area of the pyramid rounded to the nearest thousandth?

A. 563,000 square feet

B. 1,312,000 square feet

C. 1,441,000 square feet

D. 879,000 square feet

Answers

879,000 square feet  is the lateral surface area of the pyramid

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The lateral surface area of a square pyramid can be calculated using the formula L = (1/2)Pl

where P is the perimeter of the base and l is the slant height of the pyramid.

Since the base of the pyramid is a square, the perimeter is 4 times the length of one side, or 4 × 750 = 3000 feet.

To find the slant height, we can use the Pythagorean theorem with one leg equal to half the length of the base (375 feet) and the other leg equal to the height (450 feet):

l =√375² + (450)²

= 583.095 feet

Therefore, the lateral surface area is:

L = (1/2) × 3000 × 583.095

= 879,000 square feet

Hence,879,000 square feet  is the lateral surface area of the pyramid

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What is the completely factored form of 3x5 – 7x4 6x2 – 14x? (x superscript 4 baseline 2 x) (3 x minus 7) x superscript 4 baseline (3 x minus 7) (2 x minus 1) x (x cubed 2) (3 x minus 7) x (3 x superscript 4 baseline minus 7 x cubed 6 x minus 14)

Answers

A polynomial is an expression. The completely factored form of the polynomial 3x⁵-7x⁴+6x²-14x is (x⁴+2x)(3x-7).

What are polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The completely factored form of the polynomial can be done in the following manner,

[tex]3x^5-7x^4+6x^2-14x\\\\= x^4(3x-7)+2x(3x-7)\\\\=(x^4+2x)(3x-7)[/tex]

Hence, the completely factored form of the polynomial 3x⁵-7x⁴+6x²-14x is (x⁴+2x)(3x-7).

Learn more about Polynomials:

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Answer:

A on edge

Step-by-step explanation:

I passed the test!

Which equation is true?
A) 3 x (5 + 1) = 3+ (5 x 1)
B) 5 x (2+8)= 10 +8
C) 8 x (2+9)= (8 x 2) + (8 x 9)
D) 4+ (2 +9)= (4 + 2) + (4 +9)​

Answers

Answer:

C. 8 x (2 + 9) = (8 x 2) + (8 x 9)

Step-by-step explanation:

Let's solve to see!

Solve using PEMDAS:

Parenthesis

Exponents

Mulitplication/Division (depending on which one comes first - starting from left to right)

Addition/Subtraction (depending on which one comes first - starting from left to right)

A)

3 x (5 + 1) = 3 + (5 x 1) <== parenthesis first

3(6) = 3 + 5 <== multiply and add

18 = 8

False

B)

5 x (2 + 8) = 10 + 8 <== parenthesis first

5(10) = 10 + 8 <== multiply and add

50 = 18

False

C)

8 x (2 + 9) = (8 x 2) + (8 x 9) <== parenthesis first

8(11) = 16 + 72 <== multiply and add

88 = 88

True

D)

4 + (2 + 9) = (4 + 2) + (4 + 9)​ <== parenthesis first

4 + 11 = 6 + 13 <== add

15 = 19

False

Therefore, the correct answer is C.

Hope this helps!

Which will have a negative number?

A)
(-3)(-9)

B)
(-6)(4)

C
-4 --5

D)
-7+9

Answers

Answer:

B

positive times negative equal to negative

(-6)(4) = -24

2a x a x 3a + b x 4b

Simplify

Answers

The answer would be 6a^3 +4b^2

PLEASE HELP I NEED IT REALLY BAD

Answers

Btw, my mistake, correction for the volume of prism, it's supposed to be:

Area of cross section × height

Hope this helps =)

What is the quotient of (x3 – 3x2 3x – 2) ÷ (x2 – x 1)?

Answers

Answer:

-18x^2+3x-2/x

Step-by-step explanation:

If you borrow $1425 for 9 years at an interest rate of 4%, how much interest will you pay?

Answers

Answer:

You would pay $242 in total interest over the life of this loan.

Step-by-step explanation:

A school collects money for the local shelter. If the students collect $275 in the first month, $210 in the second month, and $136 in the third month, how much do they collect altogether?

Answers

Answer:

$621

Step-by-step explanation:

To find the total amount they collected, sum the amounts collected in each month.

[tex]\begin{tabular}{c l} & 275\\+ & 210\\+ & 136\\\cline{1-2} & 621\\\cline{1-2} & ^1^1\\\end{tabular}[/tex]

At a summer camp, a student has to choose an activity from group A and an activity from group B. How many different combinations of activities can he choose from?
Group A
swimming
canoeing
kayaking
snorkeling
Group B
archery
rappelling
crafts
cooking


A:8
B:2
C:4
D:16

Answers

Answer:

16

Step-by-step explanation:

each activity is worth 4.


(30 points and Brainliest)

If the value of a in the quadratic function f(x) = ax^2 + bx + c is 4, the function will_____.

A)open down and have a minimum

B)open up and have a minimum

C)open down and have a maximum

D)open up and have a maximum

Answers

Answer:

I honestly believe it's B I'm sorry if it's wrong

The product of two numbers is 26 and one of the numbers is one larger than six times the other number. find the numbers.

Answers

The numbers that the product is 26 and one of the numbers is one larger than six times the other number are 2 and 13.

How to form equation and solve for the variable?

The product of two numbers is 26.

let the two numbers be x and y.

Therefore,

xy = 26

One of the numbers is one larger than six times the other number. Therefore,

x = 1 + 6y

Hence,

xy = 26

(1 + 6y)y = 26

y + 6y² = 26

6y² + y - 26 = 0

using quadratic formula,

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex]

where

a = 6

b = 1

c = - 26

Therefore,

y = 2 or - 13 / 6

We can only use the positive value.

Hence,

2x = 26

x = 26 / 2

x = 13

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i need help 9th grade math

Answers

Answer:

$ 6875.05

Step-by-step explanation:

Check out the attached photo

352, 345,338,...
352,345,338,...
\text{Find the 43rd term.}
Find the 43rd term.

Answers

Answer:

317

Step-by-step explanation:

The numbers change by -7 each step in the sequence.  Let n be the position in the sequence, starting with n=0 for the first point.  The value of a number at the nth position is (352 - 7*n).

The 43th position has the value 317.

n  #  Dif 352 -7n

0 352    352

1 345   -7   345

2 338   -7   338

3 331   -7   331

4 324   -7   324

43 317  -7   51

How do I do this fraction with Distributive Property???

Answers

Answer:

[tex]3a - 1[/tex]

Explanation:

[tex] \frac{9a - 3}{3} [/tex]

Factor out 3

[tex] \frac{3(3a - 1)}{3} [/tex]

Cancel out the common factor 3

[tex]3a - 1[/tex]

685 x8483 - 3846 +483

Answers

Answer:

Step-by-step explanation:

i have no idea

if A and B are two distinct points on the plane then distance between them is
A)zero
B)1
C)negative
D)positive​

Answers

By definition, the distance between two points is always positive, so the correct option is D.

How to get the distance between two points?

Let's say that our plane has rectangular coordinates, so it would be something like a xy-plane.

Each point has 2 coordinates, so we can write:

A = (x₁, y₁)

B = (x₂, y₂)

The distance between the points is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

As you can see, the distance is defined as positive (indifferent of the coordinates of the points).

So the correct option is D, the distance is always positive.

If you want to learn more about distance, you can read:

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Please help!!!!!!!!!!!!!

Answers

Answer:

G

Step-by-step explanation:

when x = -1 the two equations equal the same thing -2

so they both go thru the point (-1,-2)

Select the correct answer.
Mary and Nikki are collecting signatures for a petition. Function m models the total number of signatures on Mary’s petition x days after they started collecting signatures. Function n models the total number of signatures on Nikki’s petition at the same time.
m(x) = 252 + 21x
n(x) = 211 + 16x

Which function correctly represents the number of signatures Mary and Nikki have gathered altogether, x days after they started collecting signatures?
A. (m + n)(x) = 41 + 37x
B. (m + n)(x) = 463 + 5x
C. (m + n)(x) = 463 + 37x
D. (m + n)(x) = 41 + 5x

Answers

Answer:

C. (m + n)(x) = 463 + 37x

Step-by-step explanation:

Which of the following statements regarding the transmission of pathogens from environmental surfaces are true?
a. Pathogens can be spread by contact with contaminated surfaces.
b. Placing a resident in a room previously occupied by a C. diff positive resident increases the risk for acquiring C. diff. c. You must touch a surface for at least 3 minutes for pathogenic transfer to occur. d. Most pathogens can only survive on surfaces for a few minutes

Answers

TRUE statements regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.

What are Pathogens?

Pathogens can be referred to as microscopic organisms which can cause diseases and illness. They are bacteria, fungi, virus or other disease causing organisms.

These pathogens can be transmitted via environmental surfaces especially by coming in contact with contaminated surfaces. Some pathogens survive longer on surfaces, while some only survive for few minutes.

If someone is placed in a room previously occupied by an infected person, the chances of contacting that same disease is high.

Thus, the statements that are TRUE regarding the transmission of pathogens via environmental surfaces are the statements in option A and B.

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Int the number 78.9 what digit is the ones place

Answers

The ones digit is the number 8
the 8 is in the ones place

Someone help me please!
*not a test or quiz*

Answers

whenever you see this kind of question you don't need to start doing all the expressions, but look at the first and last numbers of the answer, the ones that cannot be changed (have no x or y or have those that cannot be changed in this expression):

the answer can't be a or c because in the given expression we can find 3x²y² and that's the only number where we can find x²y², so it cannot be changed. (you'll have 3x²y² in the answer)

now let's look at the last digit, that doesn't have a x or a y:

in b and d we can find 2 different results so this can determine which answer is correct:

let's look back at the given expression: -7+4= -3

so the answer is b

Which of the following best describes a problem that occurs when the majority criterion is observed?

A) The majority criterion cannot be upheld with the Condorcet method.

B) The majority criterion only considers the first-place votes.

C) The majority criterion must be used for first place, second place, third place, and so on to be valid.

D) The majority criterion never applies when the plurality method is used.

Answers

Answer:

i belive its A if you get it wrong im sorrry

Step-by-step explanation:

Option C is the statement that best describes a problem that occurs when the majority criterion is observed. This is because the majority criterion is a single-winner system.

Majority criterion:This criterion states that "if one candidate is ranked first by a majority, then that candidate must win".This method complies with the other criteria like the Condorcet method and Plurality method etc.This is applied in such a situation where one person has to be selected.

Given information:

It is given that all the options except option C are true about the majority criterion.

Option C - "The majority criterion must be used for first place, second place, third place, and so on to be valid" is not correct because this criterion is used only for choosing the first place.

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He notices a lumberjack cutting one down what is the probability that the lumberjack is cutting down a mature tree given it is a pine?

Answers

Answer:

The second one is correct.

Step-by-step explanation: if you add together all the numbers you get 563 so now if you divide 166 by 563 you get 0.2948

the smallest number that has 1, 2, 3, 4, and 5 asfactors.

Answers

Answer:

The answer is 60

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