Two friends argue over who brushes their teeth more often. To settle the
argument, they keep track of the number of mornings and nights they brush
and calculate a probability. These are shown in the table.
Probability of brushing
in morning
Probability of brushing
in evening
Braxton
0.72
0.85
Arabella
0.82
0.79
Who is more likely to brush both morning and evening? Assume all events are
independent.

Answers

Answer 1

Answer:

Arabella

Step-by-step explanation:

I am assuming the information in your table looks like this:

                    P(brushing in morning)      P(brushing in evening)

Braxton                       .72                                        .85

Arabella                      .82                                        .79

Now, to find the probability either of Braxton or Arabella brushes in both the morning and evening (knowing they are independent), we multiply them together.

P(Braxton brushes in morning AND evening) = .72 × .85 = .612 = 61.2%

P(Arabella brushes in morning AND evening) = .82 × .79 = .6478 = 64.78%

Since 664.77% > 61.2%, we know that Arabella is more likely to brush her teeth in both the morning and evening compared to Braxton

Answer 2

Arabella is more likely to brush both morning and evening than Braxton, as her probability of brushing both morning and evening is higher.

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

To find out who is more likely to brush both morning and evening, we need to calculate the probability of each person brushing both morning and evening and compare the results.

For Braxton, the probability of brushing both morning and evening is:

P(Braxton brushes both morning and evening) = P(Braxton brushes in the morning) × P(Braxton brushes in the evening)

= 0.72 × 0.85

P ( B ) = 0.612

For Arabella, the probability of brushing both morning and evening is:

P(Arabella brushes both morning and evening) = P(Arabella brushes in the morning) × P(Arabella brushes in the evening)

= 0.82 × 0.79

P ( A ) = 0.6478

And , P ( A ) > P ( B )

Therefore, Arabella is more likely to brush both morning and evening than Braxton, as her probability of brushing both morning and evening is higher.

Hence , the probability is solved

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The complete question is attached below :

Two friends argue over who brushes their teeth more often. To settle the argument, they keep track of the number of mornings and nights they brushand calculate a probability. These are shown in the table.Who is more likely to brush both morning and evening? Assume all events are independent.

Two Friends Argue Over Who Brushes Their Teeth More Often. To Settle Theargument, They Keep Track Of

Related Questions

Describe the error in the work shown.

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Answer:

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Step-by-step explanation:

Where is the question?

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Answer:

The answer is ten. Perimeter is all the sides added together. Area is length times width.

Step-by-step explanation:

Where's my cookie?

Answer:

To find perimeter, all you need to do is length times width. In this case, that's 4 + 1

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f(7)=
g(7)=
The equation for f(x) is
The equation for g(x) is

Answers

Answer: f(7) = -128

g(7) =  26

Equation of f(x):  f(x)= -11x-51

Equation of g(x): g(x)=3x+5

Step-by-step explanation:

Rate of change of a function: [tex]\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

From the table. Rate of change in f(x)= [tex]\dfrac{f(1)-f(0)}{1-0}=\dfrac{-62+51}{1}=-11[/tex]

Rate of change in g(x)= [tex]\dfrac{g(1)-g(0)}{1-0}=\dfrac{8-5}{1}=3[/tex]

Also, the rate of change throughout the function is the same, hence both are linear functions.

Equation of linear function:  [tex]f(x)=mx+c[/tex], where m= rate of change of function, c = f(x) at x=0.

From table, f(0)= -51 , g(0)=5

Equation of f(x): f(x)= -11x-51

Equation of g(x): g(x)=3x+5

f(7) = -11(7)-51 = -77-51 = -128

g(7) = 3(7)+5 = 21+5 = 26

f(7) = -128

g(7) =  26

Consider the following function f(x) = 25 - x^2 / x^2 -4x -5
Which of the following are correct? Check all of the boxes that apply.
- m /= n
-m /= n
-There is only one vertical asymptote.
-y= -1 is the horizontal asymptote

Answers

Answer:

BCD

Step-by-step explanation:

I AM RIGHT

m is equal to n, there is only one vertical asymptote and -y = –1 is the horizontal asymptote are correct. Therefore, the correct option is option B,C,D.

What is mathematical function?

A function in mathematics from such a set X to either a set Y allocates precisely 1 element of Y to every element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A planet's position, for instance, depends on time. In the past, the idea was developed with both the infinitesimal calculus toward the conclusion of the seventeenth century, as well as the functions that were taken into consideration were differentiable until the 19th century. Just at end of the 18th century, set theory was used to formalize the idea of a function. m is equal to n, there is only one vertical asymptote and -y = –1 is the horizontal asymptote are correct.

Therefore, the correct option is option B,C,D.

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2/3x - 1/9x + 5 = 20

Answers

Answer:I think the answer is x=27

Step-by-step explanation:

Use this picture to name one pair of ALTERNATE EXTERIOR angles: *

Answers

Answer:

angle 4 is congruent to angle 7

angle 8 is congruent to angle 3

angle 2 is congruent to angle 5

angle 1  is congruent to angle 6

Step-by-step explanation:

alternate exterior angles are congruent, which means identical

In October sally drove 560 miles in her car.
the car travelled 34.5 miles for each gallon of petrol used

Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.

Work out the cost of the petrol the car used in October

Answers

The cost is £79.76. Since the car covers 560 miles and 34.5 miles is travelled by one gallon. So, dividing 560 by 34.5 we get 16.23. Since 1 gallon is 4.55 litres, 16.23 gallons is 73.8465. Now the cost of petrol is £1.08 per litre. So, multiplying 73.8465 by £1.08 we have £79.76

The cost of petrol the car used in October is;

Amount spent on fuel in October = £79.76

Distance sally drove in October = 560 miles

She used 1 gallon of petrol for every 34.5 miles she drove.

Thus, number of gallons of petrol she used for the month of October on the car = 560/34.5 gallons

Now, we are told that;

1 gallon = 4.55 litres

Thus; 560/34.5 gallons = (560/34.5) × 4.55/1

Quantity of petrol she used for the month in liters = 73.855 litres

Petrol costs £1.08 per liter.

Thus;

Amount spent on fuel in October = 1.08 × 73.855

Amount spent on fuel in October = £79.7634 ≈ £79.76

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What is the middle value of the following data set? 33, 36, 24 31, 39,44,32

Answers

Mean ( average) = 34.14286
Median (middle ) = 33
Hope that helped or the answer u was looking for

Paulette wrote the equation below to show f, the amount of framing she needs for a square frame with a side length of s centimeters. f=4s How many centimeters of framing does Paulette need for a square frame that has a side length of 15.3 centimeters. Pls help this is a test A. 61.2 centimeters B. 60.3 centimeters D. 19.3 centimeters C. 11.3 centimeters

Answers

Answer: 61.2 centimeters

Step-by-step explanation:

Since the equation given to show the amount of framing that she needs for a square frame with a side length of s centimeters is:

f = 4s

Therefore, the number of centimeters of framing needed by Paulette for a square frame that has a side length of 15.3 centimeters will be:

f = 4s

f = 4 × 15.3

f = 61.2 centimeters

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.

Answers

Answer:

(1/2,0) is one solution

(-4/3,0) is the other solution.

Step-by-step explanation:

i hope this helps you it might not be right

Need help with 2 and 4!

Answers

Answer:

Step-by-step explanation:

A dilation is when you have an original shape and them it shrinks/grows. One, three, and four are all dilations. They all have an original and then from what i see they grow. Two is not a dilation.

Beth purchased her car for $18,400. Three years later the car was worth $15,200. Find the percent change in the value of her car.​

Answers

Answer:

17.39%.

Step-by-step explanation:

As a percentage (rounded to two decimal places):

A decrease of 17.39%.

Please help! I really don't understand...

Answers

it would be 3 feet but i would say i would only agree if it was rounded up to the nearest tenth place

Cendrick D'Amitrano works Friday and Saturday delivering pizza. He delivers 8 pizzas on Friday. How many pizzas must he deliver on Saturday to average (mean) 11 pizzas per day?

Answers

Answer:

Number of pizza deliver on Saturday = 14 pizza

Step-by-step explanation:

Given:

Number of delivery day (Friday, Saturday) = 2

Number of pizza deliver on Friday = 8

Average of delivery (Mean) = 11 pizza

Find:

Number of pizza deliver on Saturday

Computation:

Mean = Sum of pizza / Number of delivery day

11 = [8 + Number of pizza deliver on Saturday] / 2

22 = 8 + Number of pizza deliver on Saturday

Number of pizza deliver on Saturday = 22 - 8

Number of pizza deliver on Saturday = 14 pizza

Expand and Simplify: (x-5)(x+7)

Answers

distributive property
(x-5)(x+7)
=x^2+7x-5x-35
=x^2+2x-35

I don’t. Think I posted this one

Answers

Answer:

The volume of the ice cream cone is 528.1 cubic centimeters.

Step-by-step explanation:

The formula for finding the volume of a cone is V = [tex]\pi r^2\frac{h}{3}[/tex].

Substitute values now:

V = [tex]\pi* 5.8^2*\frac{15}{3}[/tex]

V ≈ 528.1

If 8 + 4 = 12, then 12 = _ + _

Answers

Answer:

8 + 4

Step-by-step explanation:

It is a fact family.

Answer:

12= 4+8

Step-by-step explanation:

The altitude of a plane is 1200 meters. From a point on the ground, the angle of elevation of an airplane is 25º. What is the distance from point P to the airplane, to the nearest tenth of a meter? Explain your answer.

Answers

Answer:

2839.4 meters

Step-by-step explanation:

Given that:

Altitude = 1200 m

Using trigonometry :

The distance from point P to the airplane :

Using trigonometric relation :

Sin θ = opposite / hypotenus

Sin θ = altitude / x

Sin θ = 1200 m / x

Sin 25 = 1200 / x

0.4226182 = 1200 / x

x = 1200 / 0.4226182

x = 2839.4423

Distance from P to airplane = 2839.4 meters

I need help on this question plsss help

Answers

Try 28m I hope it’s right

Help please!!! I need it!

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Answer:

1300.62

Step-by-step explanation:

thank me later lolol.

PQRS is a parallelogram with PQ=26cm and QR=20cm . If the distance between the longer-sides is 12.5cm , Find​

Answers

Answer:

Below.

Step-by-step explanation:

I am guessing you want the area of the parallelogram.

Take the longer side to be the base.

Area = base * distance between base and opposite side

=  26 * 12.5

= 325 cm^2.

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?​

Answers

Answer:

1/18

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Can I get some help?

Answers

Type in the question without g(x)

3/5 = 12/x find the missing numbers in the equivalent ratios

Answers

Answer:

x=20

Step-by-step explanation:

Well just cross multiply if its easier

x(3)=3x

12*5=60

60=3x

x=20

The awnser for this should be 20

London in column bought 1/2 pound of peanuts they are sharing the nuts equally how many pounds of nuts do each person get

Answers

Answer: 1/4 pounds

Step-by-step explanation:

Full question is:

Landon and Colin bought a 1/2 pound of peanuts. They are sharing the nuts equally. How many pounds of peanuts will each person get?​

There are 2 people here - London and Colin - and they are to share 1/2 pounds of nuts equally amongst themselves.

They should therefore divide the nuts in 2:

= Amount of nuts / Number of people

= 1/2 ÷ 2

= 1/2 * 1/2

= 1/4 pounds

Note: When dividing a fraction, multiply the inverse of the divisor.

please help ! I’m so confused

Answers

Answer:

2/7 is the scale factor.

Step-by-step explanation:

All you have to do is get two sides that are equal to each other. Let's say Side SR and YX. 3 and 10.5. Do 3/10.5, which is 30/105, which simplified is 6/21, which again simplified is 2/7. So, the scale factor is 2/7.

Write 125 x (5^4)7 as a single power of 5


Answers

If I’m not mistaken it is 5^31

125 x (5^4)7 as a single power of 5 is 28*5^4.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

125 x (5^4)7

Now, 125 x (5^4)7

=125x140

=17500

=28*5^4

Therefore, by algebra the answer will be 28*5^4.

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not sure about these either...

Answers

5 is a and 6 is also a

Cendrick D'Amitrano works Friday and Saturday delivering pizza. He delivers 8 pizzas on Friday. How many pizzas must he deliver on Saturday to average (mean) 11 pizzas per day?

Answers

Answer:

14

Step-by-step explanation:

there are two days whose mean is 11.for you to get the mean of 11 you had divided by 2

multiply 11 by 2 which is 22

then minus fridays which is 8

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