John, Paul, and Sonia all attend the same school, but are in different grades. John is in the 6th grade, Paul in 7th, and Sonia in 8th. John get homework 65% of the time, Paul get homework 80% of the time, and Sonia get homework 85% of the time. Factoring all three students into the probability, what is the probability that on any given day only John gets homework

Answers

Answer 1

Answer:

0.0195 = 1.95% probability that on any given day only John gets homework

Step-by-step explanation:

What is the probability that on any given day only John gets homework?

John has a 65% probability of getting homework.

Paul has a 100 - 80 = 20% probability of not getting homework.

Sonia has a 100 - 85 = 15% probability of not getting homework.

Since these events are independent, the probability is the multiplication.

0.65*0.2*0.15 = 0.0195

0.0195 = 1.95% probability that on any given day only John gets homework


Related Questions

1. Find the value of x in the figure below.
74°
2x​

Answers

Answer:

2x-7

Step-by-step explanation:

NO SCAM LINKS.

please reply ASAP PLEASEEEE

Answers

Answer:

B

Step-by-step explanation:

the answer is B hope this helps

What is the length of missing side X? Options are on photo
Help ASAP

Answers

Answer:

it should be 5 because its a rectangle

Answer:

x = 5cm

Step-by-step explanation:

Remember opposite sides of a rectangle are congruent

The opposite side of side "x" is equal to 5 cm therefore x = 5 cm

Important note! : The triangle does not change the side length as it is formed using it.

what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5

Answers

Answer:

y = 4/5 x + 2/5

Step-by-step explanation:

write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?

Answers

Answer:

∠RQS = 21°

∠TQU = 28°

Step-by-step explanation:

90° + 221° + 3x + 4x = 360°

combine like terms:

7x + 311° = 360°

subtract 311° from each side of the equation:

7x = 49°

divide both sides by 7:

x = 7°

∠RQS = 3x = 3(7°) = 21°

∠TQU = 4x = 4(7°) = 28°

Solve for h -4(-6h - 7) = 9h + 10h - 7

Answers

Answer:

h=-7

Step-by-step explanation:

-4(-6h - 7) = 9h + 10h - 7

24h+28=19h-7

Both side -28

24h+28-28=19h-7-29

24h=19h-35

Both side -19h

24h-19h=19h-19h-35

5h=-35

h=-7

Answer:

h = -7

Step-by-step explanation:

-4(-6h-7)= 9h+ 10h-7

24h+ 28=19h-7

-19. -28. -19 -28

5h -35

h= -7

A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter

Answers

if you’re really thirsty you should drink a liter

f(x)=3(x-2)^2 +5 Find Vertex of Parabola given.

Answers

The answers (2,5) because

Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?​

Answers

Answer:

345 - 40% = 207$

Step-by-step explanation:

(345 - 30%) - 15% = 205.3 (Better deal)

Answer:

30% off and additional 15% at the register

Step-by-step explanation:

Deal 1

$345 × 40% = $138

$345 - $138 = $207

Deal 2

$205.30

DO NOT PRANK!! I NEED HELP PLS (will give brainly)
Use the diagram below for this question. The angle bisectors of triangle ABC meet at G.
If m∠ ABC = (4x + 12) degrees and m∠ GBA = (3x – 4) degrees , find m∠ GBC.
A.26 degrees
B.44 degrees
C.52 degrees
D.36 degrees

Answers

Answer:

b

Step-by-step explanation:

hiiii

I had this same question on a test, I thought it was C and I ended up getting it wrong. It was between that and B and when I was doing the work they both fit so I would say your best choice is

B:44 Degrees

a plate moves at a sped of 45 mm/yr. How far will the plate move in 100 years?

Answers

Answer:

4,500 millimeters per year.

Step-by-step explanation:

brainliest?

Answer:

4500 mm or 4.5 m

Step-by-step explanation:

45 mm/yr x 100 yr = 4500 mm = 4.5 m

Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept

x y
0 4
2 9
4 14
6 19
8 24

Answers

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

Complete the sentence.
9 is 36% of

Answers

Answer:

35

Step-by-step explanation:

[tex]\frac{9}{y} =\frac{36}{100}[/tex]

y × 36 = 9 × 100

36y = 900

36y ÷ 36 = 900 ÷ 36

y = 35

Answer:

25

Step-by-step explanation:

36%     9        

--------------       (36% over 100% and 9 over x)

100%    x

Cross multiply: 36% times x and 100% times 9

36% times x=36x

100% times 9=900

Divide: 900 divided by 36=25

25 is your answer

Hope this helped!

Bella was here :)

Allison collected books to donate to different charities. The following expression can be used to determine the number of books each charity received.



(12 + 4 • 5) ÷ 2



Based on this expression, how many books did each charity receive?

Answers

The answer is 16


Explanation

(12+4•5)divided by 2

(12+20)divided by 2

32 divided by 2

=16

А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally during the semester. They take a random sample of 198 registered students listed as living in campus housing and ask each whether or not they do so. A 95% confidence interval is correctly calculated from this data as (0.12, 0.18). Which of the following is the correct interpretation of this confidence interval ?
a. None of these are correct.
b. We are 95% confident that the proportion of the 198 sampled students that actually play basketball is between 0.12 and 0.18
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
d. The sample proportion of on-campus students that play basketball will be between 0.12 and 0.18 in 95% of samples of size 198

Answers

Answer:

c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.

Step-by-step explanation:

According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)

So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12

So, the option C is correct

The rest of the options are wrong

Let the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.

Answers

Answer: sorry don't know but uhh its 5

Step-by-step explanation:

Guys help I’m failing math this assignment is 100 points it will boost my grade

Answers

Answer:

1. -6.5

2. 8.5

3. -2 7/10

Step-by-step explanation:

If you any more questions comment

could you give me Brₐinliest

Answer:

im not sure

Step-by-step explanation:

lol i just want points

I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?

Answers

Answer:

[tex]\sqrt{13}[/tex] = 3.605551275......

Step-by-step explanation:

[tex]\sqrt{13}[/tex]

       3.6

3 [tex]\sqrt{13}[/tex]

     -9

36[tex]\sqrt{4}[/tex]00

do you need to know more... ??

9514 1404 393

Answer:

  √13 ≈ 3.60555127546

  "by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38

Step-by-step explanation:

Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.

Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.

__

Method 1 -- Linear approximation

You can approximate it by hand in the following way.

√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...

  3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6

This is a linear interpolation between √9 and √16.

_____

Method 2 -- Babylonian method

The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.

  x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175

  x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places

One more iteration will double the number of correct decimal digits.

  x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915

(correct digits are highlighted)

_____

Method 3 -- "long division"

There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.

_____

Method 4 -- continued fraction

Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:

  3 +x = √13 . . . . . . where x is the fractional part of the root

  (3 +x)² = 13 . . . . . . square both sides

  x² +6x +9 = 13 . . . expand the square

  x(x +6) = 4 . . . . . . . subtract 9 and factor

  x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)

At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...

  p/q = 4/(6 +p/q) = 4q/(6q +p)

That is, successive approximations of x can be had by the transformation ...

  (p, q) ⇒ (4q, 6q+p)

Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...

  (p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)

At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.

__

* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.

The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50.

Answers

Is there a question to answer?

Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?

Answers

Answer:

The perimeter of one poster is 57 inches.

Step-by-step explanation:

The perimeter of a rectangle is given by:          

[tex] P = 2(w + h) [/tex]

Where:

w: is the widht = 12.5 in

h: is the height = 16 in

Hence, the perimeter is:

[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]

Therefore, the perimeter of one poster is 57 inches.

I hope it helps you!

A student purchased 9 binders for $11.07.

Solve the equation to determine the cost, in dollars, for each binder.

$

Answers

Answer:

$1.23

Step-by-step explanation:

9 binders for 11.07, where x = num of binders

9x = 11.07  [Divide both sides by 9]

x = $1.23

Answer:

each binder costs $1.23

Step-by-step explanation:

$11.07 divided by 9 equals $1.23

Christie's Auction sold a painting for
$24,500. It charges all buyers a 15%
premium of the final bid price. How much
did the bidder pay Christie's?

Answers

24,500$. 100%
X$. 15%
X=24,000•15/100
X=3,675 premium

24,000-3,675=20,825$ bidder pay Christine.

The price that bidder pays to Christie's is $2130.4.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

And to convert a fraction or a decimal into percentage, they are multiplied by 100.

Given that,

The price for which painting is sold is $24,500.

The percentage of premium price of the final bid is 15%.

Suppose the price paid by the bidder be x.

Then, as per the question the following equation can be written for the price of painting,

x + 15% of x = 24500

=> x + (15/100)x = 24500

=> 115x/100 = 24500

=> x = (24500 × 100) ÷ 115

=> x = 2130.43

Hence, the amount paid to Christie's is $2130.4.

To know more about percentage click on,

brainly.com/question/29306119

#SPJ2

What is the median for this list of numbers? 3, 6, 9, 10, 12

Answers

the answer is 9 because if you put those numbers in a life from smallest to biggest and take one off each side your left with 9

Answer:

9

Step-by-step explanation:

What is the answer please I need help if you send a link I will report because your just trying to scam someone

Answers

Answer:

The median is 6.

Step-by-step explanation:

can anyone help me with this please! Serious plz lol

Answers

I hope this helps you

triangle: solve for x

Answers

Answer:

6 root two

Step-by-step explanation:

geometric mean for leg t.

24*3=x2

x2=72

x=root(72)

6 root two

if my answer helps please mark as brainliest.

Find the simple interest on the following amounts:
a K4000 invested at 6% p.a. for 4 years
b K23 000 invested at 6.5% p.a. for 8 years
K580 borrowed at 5% p.a. for 9 months
inte
с
500​

Answers

Answer:

a. Simple interest = K960

b. Simple interest = K11,960

c. Simple interest = K261

Step-by-step explanation:

Given the following data;

a. Principal = K4000

Interest rate = 6%

Time = 4 years

To find the simple interest;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {96000}{100} [/tex]

S.I = K960

b. Principal = K23 000

Interest rate = 6.5%

Time = 8 years

To find the simple interest;

[tex] S.I = \frac {PRT}{100} [/tex]

Substituting into the formula, we have;

[tex] S.I = \frac {23000*6.5*8}{100} [/tex]

[tex] S.I = \frac {1196000}{100} [/tex]

S.I = K11,960

c. Principal = K580

Interest rate = 5%

Time = 9 months

To find the simple interest;

[tex] S.I = \frac {580*5*9}{100} [/tex]

[tex] S.I = \frac {26100}{100} [/tex]

S.I = K261

2 1/2 ft x 1/4 ft
please help

Answers

Step-by-step explanation:

0.0580644 m2 hope this helps

Step-by-step explanation:

Here,

[tex] \frac{21}{2}ft \: \times \: \frac{1}{4} ft[/tex]

[tex] = \frac{21}{8} {ft}^{2} [/tex]

OR :

[tex]2 \frac{5}{8} {ft}^{2} \: \: also \: \: \: 2.625 {ft}^{2} [/tex]

solve the equation f/3+22=17

Answers

1) f/3 + 22 = 17

2) f/3 + 22 - 22 = 17 - 22

= f/3 = -5

3) 3 • f/3 = 3(-5)

= f = 3(-5)

= f = -15

Your answer would be f = -15

:)

Answer:

f = -15

Step-by-step explanation:

f/3 + 22 - 22 = 17 - 22

f/3 + 0 = -5

f/3 = -5

f = 3 × (-5)

f = -15

Thus, The answer is -15

-TheUnknownScientist

Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a population parameter b. a sample statistic, which has an expected value equal to the value of the population parameter c. a sample statistic whose value is usually less than the value of the population parameter d. any estimator whose standard error is relatively small

Answers

Answer:

a) Any sample statistic used to approximate a population parameter.

Step-by-step explanation:

An unbiased estimator is any sample statistic used to approximate a population parameter.

In mathematics, the bias of an estimator refers to the difference between the true value of the parameter being estimated and the estimator’s expected value.

If a statistic is not an underestimate or overestimate of the population parameter, then it is unbiased.

That is why an unbiased estimator is an accurate sample statistic used to approximate a population parameter.

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What is the volume if the base is 48 square inches and height is 8 inches Find the slope of the line. Will give brainiest if correct. BRAINLY TO WHOEVER CAN HELP- ALSO IF YOU GIVE VIA FILESHARE PLS JUST GIVE ME A VERY BREIF SUMMARY CAUSE I CANT OPEN IT Light waves areA.rotating waves.B.longitudinal waves.C.circular waves.D.transverse waves 85% of x is 51. Write an equation that represents the situation. Yea.....can sum1 help pls What is one of the biomolecules for which nitrogen is needed (hint: they help build muscles)? Using minimum wage, if you worked 40 hours a week at the minimum wage, what would your paycheck be before taxes after 2 weeks of work? Solve for angle G. Type just the number. Round to the nearest degree (wholenumber) *G complete the equation. explain how you got your answer 4/5 X 3/7 =? GUYS ANYONE HERE I REALLY NEED HELP PLS! Find the area of the polygon with vertices D (-1, 2), E (2, 2), F (2, -1), and G (-3, -1). If necessary, round to the nearest tenth Help Me! Will give brainliest. Hurry UP!11-2m-[n+5+-m-3n+8Simplify! How do animals help recycle carbon atoms? please help me asap. NO LINKS I WILL REPORT YOU!!!!the galvanometer is not measuring any electricity despite all wires being hooked up. Why could this be? a. Most of the Greek settlements away from mainland Greece were located where?b. Why were such locations chosen? The Maryville Construction Company occupies 105,800 square feet for construction of mobile homes. There are two manufacturing departments, finishing and assembly, and four service departments labeled S1, S2, S3, and S4. Information relevant to Maryville is as follows: Allocation Department Area used S1 S2 S3 S4 Finishing Assembly S1 18,600 --- 0.20 0.10 --- 0.10 0.60 S2 5,050 --- --- 0.40 0.40 --- 0.20 S3 10,100 0.20 0.20 --- 0.30 0.20 0.10 S4 5,050 0.20 0.10 0.20 --- 0.30 0.20 Finishing 30,150 --- --- --- --- --- --- Assembly 36,850 --- --- --- --- --- --- Rent paid for the area used is $736,000. How much rent is allocable to the assembly department using the direct method of allocation Find the value of the variable.36g161289 = 5. The coordinates of the points A and B are (0, 6)and (8, 0) respectively.() Find the equation of the line passing throughA and BGiven that the line y = x+1 cuts the line AB atthe point M, find(ii) the coordinates of M,(in) the equation of the line which passesthrough Mand is parallel to the -axis,(iv) the equation of the line which passes throughMand is parallel to the y-axis. find the value of x in the triangle shown below Define the types of friction and give FOUR examples of eachStatic FrictionRolling FrictionSliding FrictionFluid Friction