A weather forecaster claimed the chance of rain next week on Monday is 50% and the chance it rains on Tuesday is 80%. Is the probability that it rains next
Monday and Tuesday equal to 40%?
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
O No, because the chance of rain on Monday and the chance of rain on Tuesday are not independent.
O No, because the chance of rain Monday and the chance of rain Tuesday are not mutually exclusive.
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are mutually exclusive,

Answers

Answer 1

Answer:

A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.

Step-by-step explanation:

We are given;

chance of rain next week on Monday is 50%. Thus;

P(rain next Monday) = 0.5

chance it rains on Tuesday is 80%. Thus;

P(rain next Tuesday) = 0.8

From independent events, we can say that;

P(A and B) = P(A) × P(B)

A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.

Thus;

P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4

This can also be written as 40%

Correct answer is option A since both events are independent


Related Questions

Solve for x. Round to the nearest tenth.

Answers

Answer: 36.2

Step-by-step explanation:

30^2+15^2=1314

square root of 1314 is equal to 36.249

rounded to nearest tenth: 36.2

What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)

Answers

Answer:

750

Step-by-step explanation:

brainliest please

Answer: positive

Step-by-step explanation:

two negatives equals a positive

which of the following inequalities matches the graph?​

Answers

The correct answer is b, x < -3.
Since the area shaded is left of x = -3, x has to be less than -3.

Eric buys a pack of 36 chocolate bars. He gives one chocolate bar everyday to each of his best friends, Josh and Brian. Write the equation that shows the number of chocolate bars (y) he has left after x days. *

Answers

Answer:

36-1x

Step-by-step explanation:

plz let me know if I'm right

Answer: 36-1x. Explanation: he is obese

I need help ASAP

A manufacturer can produce 1 plastic bowl in 1 minute

Which graph models a relationship with the same unit rate

Answers

Answer:

The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.

The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

A manufacturer can produce 1 plastic bowl in 1 minute

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the data given the equation can be framed:

The proportional relationship will be:

y ∝ x

y = kx

x = 1 y = 1

k = 1

y = x

Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

Learn more about the straight line here:

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the science club went on a two-day field trip the first day the members pay $50 for transportation plus $12 per ticket to the Planetarium the second day they paid $100 for transportation plus $9 for tickets to the geology Museum write an expression to represent the total cost in dollars for two days for the end members of the club and expression that represents the total cost in dollars for two days for the end members of the club is given​

Answers

Answer:

y=50+12x y=100+9x

Step-by-step explanation:

Help pls :) (15 pts)

Answers

Answer:

the y is -2 and there's is no slope i think

Step-by-step explanation:

Triangle ABC ~ Triangle DEF. Find the length of median FQ. Show how to solve. 25 points

Answers

The length of the median FQ in image of the two similar triangles is: 36.

How to Find the Median of Similar Triangles?

The corresponding segments and median of similar triangles are proportional, therefore, we will have the following:

PC/FQ = PB/QE

Substitute

27/FQ = 18/24

FQ = (24 × 27)/18

FQ = 36.

Learn more about similar triangles on:

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Help PLEASE PICTURE BELOW!!

Answers

Answer:

table d

Step-by-step explanation:

functions can not have the same input twice

Answer:

A B and C repreasent functions

Step-by-step explanation:

What is the prime factorization of 50? 0 2 x 25 O 0 22 x 5 2x52 HURRRYY PLSSS ​

Answers

Answer:

50= 2x2x5 is the prime factorization of 50.

What angle is that pls​

Answers

they are corresponding angles

Ms. Psenicska is driving her car at 60 miles per hour. She then increases her speed by 25%. Which of the following expressions can be used to find her
new speed? Select all that apply
60 (0.75)
60 (0.25)
60 - 60 (0.25)
60+ 60 (0.25)
Cam you help me please

Answers

Answer:

60 (0.25)

Step-by-step explanation:

directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7

Answers

(1) 2x + 3y = 31 y

(2) 2x + 3y = x + 7

(3) 31y = x + 7

(3) x = 31y - 7

(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17

(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17

x = 98/17 ≈ 5.76

y = 7/17 ≈ 0.41

if 1.24×0.94 correct to 2 significant​

Answers

Answer:yes

Step-by-step explanation:yes

Best and Correct answer gets BRAINLIEST!!!!!

Answers

A is the answer!! Hope it helps

Which best describes the dimensions of a line?

A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.

Answers

Answer:

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Step-by-step explanation:

The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

To find the dimensions of a line.

We know that;

A line has one dimension because it is made up of all points that extend infinitely in either direction.

Thus, The correct statement which describes the dimensions of a line is,

''A line has one dimension because it is made up of all points that extend infinitely in either direction.''

Learn more aboput the line segment visit:

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Wendy stops running
A.Speed
B.Velocity
C.Acceleration

Answers

Answer:

i think is c tell me if im right

It should be C velocity

Which of the following are not polynomials?

Answers

Aaaaaaaaaaaaaaaa and bbbbbbbbbbbbbbb

Answer:

A

C

and
D

Step-by-step explanation:

A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.

Which of the following best describes the method used by the principal?

It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.

Answers

Answer: It's an unfair method because two or more students could get the same results./ D

Step-by-step explanation: hope this helps

Answer:

B. It's a fair method because each result is an equally likely possible outcome.

Step-by-step-explanation :

According to the question , there are a total of 6 students to be selected by the principal.  

So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.

Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]

The  probability that a student will choose one number :[tex]\frac{1}{36}[/tex]

Thus, the selection of each student is given by the number

[tex]\frac{1}{36}[/tex]

So,each result is an equally likely possible outcome.

So, the principal choose a fair method.

Solve the following 3/4+2/8

Answers

Answer:

28

Step-by-step explanation:

3x4 is 12

2x8 is 16

16+12 is 28

Answer:

1

Step-by-step explanation:

In order to add fractions they have to have a common denominator.

In this case we can multiply the fraction 3/4 by 2 to get 6/8.

Now we can add them:

[tex]\frac{6}{8} + \frac{2}{8} = \frac{8}{8} = 1[/tex]

Therefore, the answer to the question is 1.

I hope this helps!!

- Kay :)

Write the equation of the line in point-slope, slope-intercept, and standard form.
38. Line passing through points (-4, 2) and (0,3)

Answers

First find slope
(3-2)/(0+4) = 1/4 (slope)

Point slope: y-2 = 1/4(x + 4)

Slope intercept: y = 1/4x + 3

Standard form = 1 - 4y = -12

How do I use the Descartes Rule of Signs to determine all possible number of positive and negative zeros?

f(x)= x^4-2x^3-4x^2+2x+3​

Answers

Answer:

We conclude that:

2  or 0 positive real roots2  or 0 negative real roots

Step-by-step explanation:

Descartes Rule states that if the terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is:

Either equal to the number of sign differences between consecutive nonzero coefficients, Or is less than it by an even number.

Given the function

[tex]f\left(x\right)=x^4-2x^3-4x^2+2x+3[/tex]

So, the coefficients are 1, −2, −4, 2, 3

As can be seen, there are 2 changes.

This means that there are 2 or 0 positive real roots.

To find the number of negative real roots, substitute x with -x in the given polynomial:

[tex]x^4-2x^3-4x^2+2x+3[/tex]  becomes [tex]x^4+2x^3-4x^2-2x+3[/tex]

The coefficients are 1, 2, −4, −2, 3

As can be seen, there are 2 changes.

This means that there are 2 or 0 negative real roots.

Therefore, we conclude that:

2  or 0 positive real roots2  or 0 negative real roots

Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent

Answers

Answer:

B. 5 and 1/4 percent

Step-by-step explanation:

Step one:

given

principal= $2460

time= 3 and 1/2 years= 3.5 years

SI= $452

Required

The rate

Step two:

we know that

SI= PRT/100

substituting our data we have

452= 2460*R*3.5/100

452=8610R/100

cross multiply

452*100= 8610R

divide both sides by 8610

45200/8610= R

R= 5.25%

R= 5 and 1/4 percent

Please help me out!!!

Answers

Answer:

Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]

Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]

Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]

Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]

Step-by-step explanation:

We are given [tex]f(x)=2x-6[/tex]

We need to match the transformations.

1) shifts f(x) 4 units down.

When function f(x) shifts k units down the new function becomes f(x)-k

In our case

[tex]g(x)=2x-6-4\\g(x)=2x-10[/tex]

So, Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]

2) Stretches f(x) by a factor of 4 away from x-axis

When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)

[tex]g(x)=2(4x)-6\\g(x)=8x-6[/tex]

So, Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]

3) Shifts f(x) 4 units right

When function f(x) shifts h units right the new function becomes f(x-h)

[tex]g(x)=2(x-4)-6\\g(x)=2x-8-6\\g(x)=2x-14[/tex]

So,  Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]

4) Compress f(x) by a factor of 1/4 toward the y-axis

When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)

[tex]g(x)=1/4(2x-6)\\g(x)=1/2x-3/2[/tex]

Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]

(Option Not given)

(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)

A car journey has two stages.
Stage 1: The car travels 110 miles in two hours
Stage 2: The car travels 44 miles at the same average speed as stage 1
Work out the time for stage 2
Give your answer in minutes.

Answers

Answer:

48 minutes

Step-by-step explanation:

2h = 110 miles

1h = 110 ÷ 2

    = 55 miles

Therefore, the speed of the entire journey is 55 miles per hour.

1h = 60 minutes

55 miles = 1h

55 miles = 60 minutes

44 miles = [tex]\frac{44}{55}[/tex] × 60 minutes

              = 48 minutes

Anyone help pleaseeeeee?

Answers

12,because each cake is cut into 4 slices and u have 3 cakes so 4 multiples by 3 is 12.
12 , because i know it is 12 lol

A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle?

Answers

Answer:

[tex]Cupcakes = 7[/tex]

Step-by-step explanation:

Given

[tex]Total\ Sprinkles = 134[/tex]

[tex]Sprinkle\ per\ cupcake = 18[/tex]

Required

Determine the number of cupcakes

To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake

[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]

This gives:

[tex]Cupcakes = \frac{134}{18}[/tex]

[tex]Cupcakes = 7.44[/tex]

[tex]Cupcakes = 7[/tex] approximated

Hence, 7 cupcakes are needed

Chicago ave is parallel to Ontario Street. What is the relationship between angles 2 and 3?
They are same side interior
They are corresponding
They are alternate interior
They are alternate exterior

Answers

Answer:

they are alternate interior angles my guy.

We can conclude from the figure that angles 2 and 3 are same side interior

Trigonometry identity

From the given diagram, you can see that the shape in the middle is a quadrilateral with four sides.

The following are true of a quadrilateral;The sum of the interior angles is 360 degreesThe sum of the adjacent sides of the angles is 180 degreesThey have the same side interior angles

From the diagram, we can conclude that angles 2 and 3 are same side interior

Learn more on interior angles here; https://brainly.com/question/7888180

I need help baddddddd

Answers

Answer:

c, 6days

Step-by-step explanation:

c= 3.00d+32

c=3.25d+30.50

after 6 days the cost will be 50 for both

c= 3.00*6+32 = 18+32 = 50

c=3.25*6+30.50 = 19.5 +30.5 =50

Will mark Brainliest
Which conic section is represented by the following equation?
5x^2-x+5y^2 – 3y + 4 = 0
circle
ellipse
parabola
hyperbola

Answers

Answer:

I believe its hyperbola

Answer:

ellipse

Step-by-step explanation:

just got it right on edg ^u^

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