a) In a single throw of 2 dice, find the probability of getting product at most 6.

Answers

Answer 1

Answer: There are a total of 6 * 6 = 36 outcomes when two dice are thrown.

The outcomes that result in a product at most 6 are (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (4, 1), and (5, 1).

There are a total of 15 outcomes that result in a product at most 6.

Therefore, the probability of getting a product at most 6 in a single throw of 2 dice is 15/36, which is approximately 0.417.

Step-by-step explanation:

Answer 2

Answer:

p(product of at most 6) = 13/36

Step-by-step explanation:

When throwing 2 dice, there are 36 possible outcomes.

Here are the 36 possible outcomes and their products.

1, 1: 1    <---- at most 6

1, 2: 2    <---- at most 6

1, 3: 3    <---- at most 6

1, 4: 4    <---- at most 6

1, 5: 5    <---- at most 6

1, 6: 6    <---- at most 6

2, 1: 2    <---- at most 6

2, 2: 4    <---- at most 6

2, 3: 6    <---- at most 6

2, 4: 8

2, 5: 10

2, 6: 12

3, 1: 3    <---- at most 6

3, 2: 6    <---- at most 6

3, 3: 9

3, 4: 12

3, 5: 15

3, 6: 18

4, 1: 4    <---- at most 6

4, 2: 8

4, 3: 12

4, 4: 16

4, 5: 20

4, 6: 24

5, 1: 5    <---- at most 6

5, 2: 10

5, 3: 15

5, 4: 20

5, 5: 25

5, 6: 30

6, 1: 6    <---- at most 6

6, 2: 12

6, 3: 18

6, 4: 24

6, 5: 30

6, 6: 36

There are 36 possible outcomes.

There are 13 outcomes of at most 6.

p(product of at most 6) = 13/36


Related Questions

45 − (−28) = A) −73 B) −17 C) 63 D) 73

Answers

Answer:

(d) 73
- and - are plus so 45+28

Step-by-step explanation:

Answer:

D) 73

Step-by-step explanation:

-)- basically means plus so 45 + 28 is ... 73,so that's your answer!

Mr. Croland aked tudent to factor the expreion 28x−8
28
x

8. The tudent offered the anwer hown in the box. Which tudent() offered anwer() equivalent to the original expreion?

Answers

The students who offered the answer equivalent to original expression are Carlos and Irene.

The original expression can be traced back by solving the solution of each student. Thus, taking each solution.

Carlos

Performing multiplication of the solution

Expression = 2(14x - 4)

Expression = 28x - 8

Danny

Performing multiplication of the solution

Expression = 7(4x - 1)

Expression = 28x - 7

Irene

Performing multiplication of the solution

Expression = 4(7x - 2)

Expression = 28x - 8

Thus, Carlos and Irene gave the correct factors of the original expression.

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The complete question is -

Mrs. Crosland asked students to factor the expression 28 x − 8 . The students offered the answers shown in the box

Carlos: 2(14x - 4)

Danny: 7(4x - 1)

Irene: 4(7x - 2)

A cell phone is originally priced at $120. The store owner gives a discount and the cell phone is now priced at $90. Find the percentage discount for the cost of the cell phone,.

Answers

Answer:

25%

Step-by-step explanation:

To find the percentage discount for the cost of the cell phone, we need to first find the difference between the original price and the discounted price:

$120 - $90 = $30

Then we need to divide this amount by the original price and multiply by 100% to express the result as a percentage:

($30 / $120) * 100% = 25%

Therefore, the percentage discount for the cost of the cell phone is 25%.

25%

Guy above is right.

The price of a new phone is $960.00 and the rate of tax is 7.6%.what is the amount of sales tax?

Answers

Answer: $72.96

Step-by-step explanation:

7.6% = 0.076

Take 960.00 times 0.076 = $72.96

Which of the following government agencies does not regulate banking or financial markets?
a.
The NCUA
b.
The Federal Reserve
c.
The FCC
d.
The OCC

Answers

The government agency that does not regulate banking or financial market is the The FCC. option C

What is the meaning of FCC?

The term FCC stands federal Communication Commission.  We should know that the duty of the federal communication Commission not to regulate finance in the society or regulate banking activities rather than to regulate Communication

It is the duty of the Commission to report on chain broadcasting, assign television stations to private and government individuals in the state.

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points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints. is the meaning of _____

Answers

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints is the meaning of perpendicular bisector theorem

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment ,then it is equidistant from the segment's endpoints.

The perpendicular bisector of a triangle is the line segment that is drawn from a vertex to the opposite side bisecting the side at a right angle. The perpendicular of a triangle is perpendicular to the sides drawn from the opposite vertices and divides the sides into two equal parts. The point at which all the three perpendicular bisectors of a triangle meets is called the circumcenter of a triangle.

It is the meaning of perpendicular bisector theorem.

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Which division problem can be described using this model?
A. 2÷1/10
B. 2÷1/5
C. 1÷1/10
D. 2÷5

Answers

Answer:

I believe that the answer is 2/5 because all of the other answers equal 10 (for b and c) or 20 (for a)

Step-by-step explanation:

1. Given the data: 12, 14, 21, 19, 25, 29, 26,
21, 15, and 18. Calculate the standard deviation,
the mean, and the interquartile range using the
calculator.

Answers

For the data  12, 14, 21, 19, 25, 29, 26, 21, 15, and 18.

the mean is 20

the standard deviation is 3.7

the interquartile is 10

How to solve for the mean

For the data  12, 14, 21, 19, 25, 29, 26, 21, 15, and 18. the mean is calculated as follows

= sum of data / number of data

sum = 200

number of data = 10

mean (x bar)  = 200 / 10

= 20

standard deviation

standard deviation is the square root of  the ratio of sum of squares to number of samples

sum of squares = (x - x bar)²

= (12 - 20)² + (14 - 20)² + (21 - 20)² + ......+(21 - 20)² + (15 - 20)² + (18 - 20)²

= 274

standard deviation = √(274 / 20) = 3.7

Interquartile range = upper quartile - lower quartile

raw data = 12, 14, 21, 19, 25, 29, 26, 21, 15, and 18

arranged data =  12, 14, 15, 18, 19, 21, 21, 25, 26, 29,

upper quartile = 25

lower quartile = 15

Interquartile range = 25 - 15 = 10

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a party store has 54 packs of plates in stock. the packs are either sets of 8 or sets of 12. if the store has 496 total plates in stock, how many plates would a customer but if he or she buys all of the packs of 12 that the store has in stock?

Answers

If the customer purchases every pack of 12 which the shop has 192 plates in stock.

Explain the method of substitution?Three steps make up the substitution technique: For each of the variables, solve one equation. Put this expression (or plug it in) into the other equation, then solve it. To identify the matching variable, rewrite the value's original equation.

Total number of  packs of plates = 54.

The set are either sets of 8 or sets of 12.

Let x represent the overall number of 12-plate packets.

There will therefore be in total packs of 8 plates: 54 - x.

Thus,

8(54−x) + 12x = 496

432 − 8x + 12x = 496

4x = 64

x = 16

Thus, there are 16 packs of 12 plates in the store.

So, if a consumer purchases all of the 12-packs of plates, he will ultimately purchase 1216 = 192 plates.

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The three perpendicular bisectors of a triangle intersect in one point called the: _______

Answers

It is called the [circumcenter]

Write in standard form:
8.254 x 10^6

•Type your answer using commas to show place value.
•Type your answer with NO spaces

Answers

The number is the standard from is given by the equation A = 8.254 x 10⁶

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 8.254 x 10⁶

On simplifying the equation , we get

A = 8.254 x 1000000

Multiplying the number , we get

A = 8,254,000

Now , the number can also be written as

A = 8254000

So , the standard form of the number A is given by the equation

A = 8.254 x 10⁶

Hence , the number is A = 8.254 x 10⁶

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If ST =
2v 59, RU= -v + 83, and PQ = v, what is the value of v?

Answers

Answer:

El valor de la variable b se corresponde con:

  a) b = 0,25

  b) b = 9

  c) b = 125

Shawna bought an antique writing
desk marked down from $6,116 to
$1,951. What percentage is the
discount?
(round your answer to the nearest percent)

Answers

Percent changes are measured by (the change in amount) divided by (the starting amount).


In this case, you'd have

        [tex]\dfrac{6116-1951}{6116}=\dfrac{4165}{6116}\approx 0.6810[/tex]

This is about a 68% discount.

A questionnaire was given to students. The first question asked was "How stressed have
you been in the last week on a scale of 0 to 10 with O being not stressed at all and 10
being as stressed as possible?" The responses are shown to the right.

Answers

a. Stress rating describes the greatest number of students is: 8 out of 10

b. There are 156 students that responded with this rating.

How to calculate the stress rating?

A questionnaire is a research tool made up of a list of questions used to collect data from respondents during a survey or statistical analysis. Typically, a research questionnaire will contain both closed-ended and open-ended questions.

From the table, the total students will be the addition and this will be:

= 6 + 2 + 5 - 16 + 20 + 20 + 11 + 21 + 24 + 19 + 12

= 156

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Select all the correct answers. which two equations can you use to find the adult and child admission fees for a puppet show? let a represent the fee for adults and c represent the fee for children. adults children admissions collected day 1 45 30 $315 day 2 50 40 $370 45c 30a = 315 45a 50c = 315 45a 30c = 315 50c 40a = 370 50a 40c = 370

Answers

The two equations can you use to find the adult and child admission fees for a puppet show are 45a + 30c = 315 and 50a + 40c = 370

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, two equations can you use to find the adult and child admission fees for a puppet show

Let a represent the fee for adults

Let c represent the fee for children.

On day 1 number of adults = 45

So, fees of 45 adults = 45a

On day 1 number of children= 30

So, fees of 30 children = 30c

Total collection on day 1 = 315

Therefore, equation is 45a + 30c = 315

On day 2 number of adults = 50

So, fees of 50 adults = 50a

On day 2 number of children = 40

So, fees of 40 children = 40c

Total collection on day 2 = 370

So, equation = 50a + 40c = 370

Hence, The two equations can you use to find the adult and child admission fees for a puppet show are 45a + 30c = 315 and 50a + 40c = 370

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Simplify: -3x + 6 - 3x - 24 + 2y
-6x + 2y - 18
2y - 18
6x + 2y - 30
None of these choices are correct.

Answers

Answer:

To simplify the expression -3x + 6 - 3x - 24 + 2y, you can start by combining like terms.

-3x and -3x are both negative, so they can be combined to give -6x.

6 and -24 are both constants, so they can be combined to give -18.

So the simplified expression is: -6x - 18 + 2y

If you want to write the expression in standard form, you can rearrange the terms to give: 2y - 6x - 18

CORRECT ME IF I'M WRONG

Consider the values shown. What
place value must the answer be
reported to?
67.4 +43 +30 + 42.10 =
A. tens place B. ones place
C. tenths place
D. hundredths place

Answers

67.4 + 43 + 30 + 42.10 = 182.5
Answer: C. tenths place
This is because the last digit is in the tenths place.

Help me please…20points!!

Answers

Answer:

The answer is b . the first was appel and the second was blackberry

Can anyone please help me out with this question?

Answers

a) The percentile rank of a score of 71 on this test is given as follows: 33rd percentile.

b) Victor's score, which is the 60th percentile, is given as follows: 84.

What is a percentile?

A measure is said to be in the xth percentile of the data-set if it the bottom separator of the bottom x% of measures of the data-set and the top (100 - x)% of measures, that is, it is greater than x% of the measures of the data-set.

The ordered data-set in this problem is given as follows:

58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96.

The data-set is composed by 15 scores, and 5 is the 5th score in the data-set, hence the percentile rank of a score of 71 on this test is calculated as follows:

5/15 = 0.33 = 33rd percentile.

The 60th percentile is the score at the position given as follows:

0.6 x 15 = 9th score = 84.

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Find the lengths of the hypotenuses (x) of the triangle whose legs are given

1) 8cm,15cm

Answers

Answer:

hypotenuse is 17cm

Step-by-step explanation:

According to Pythagoras theorem,

AC²=AB²+BC²

AC² = 8²+15²

AC = √64+225

AC =√ 289

AC =17cm

6(x - 3)2(4x - 3) = 6
0x = 3
0x = -9
0x = 4
0x = 9

Answers

The two possible solutions for the given equation are -

[x] = 0.696 and [x] = 3.054.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the equation as follows -

6(x - 3).2(4x - 3) = 6

We have the equation as -

6(x - 3).2(4x - 3) = 6

12(x - 3)(4x - 3) = 6

(x - 3)(4x - 3) = 6/12

(x - 3)(4x - 3) = 1/2

x(4x - 3) - 3(4x - 3) = 1/2

4x² - 3x - 12x + 9 = 1/2

4x² - 15x + 9 = 1/2

2(4x² - 15x + 9) = 1

8x² - 30x + 18 = 1

8x² - 30x + 17 = 0

(x - 0.696)(x - 3.054) = 0

(x - 0.696) = 0     and     (x - 3.054) = 0

x = 0.696     and    x = 3.054

Therefore, the two possible solutions for the given equation are -

[x] = 0.696 and [x] = 3.054.

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4 1/7 divided by 2/3

Answers

Exact Form: 87/14

Decimal Form: 6.21428571... or 6.21

Answer: 6.21

Step-by-step explanation:

80085

write an equation of the circle with center (-6,8) and radius 9

Answers

Answer:

(x + 6)^2 + (y - 8)^2 = 81

Step-by-step explanation:

PLEASE HELP ASAP
90 students sat a Maths exam. On the way out of the hall, they were asked whether they found it hard, OK or easy. Here are the results:
Show the results on a pie chart. Remember to include full workings, so it is clear how you have calculated each angle.

Answers

Answer:

Hey, answer is attached.

Step-by-step explanation:

Hope this helps.

In the figure above, is AB || CD?

1. If m 2 5 = 30 and m 2 3 = 150?

A. Yes because angles 5 and 3 are same-side interior angles.
B. Yes because angles 5 and 3 are alternate interior angles.
C. Yes because angles 5 and 3 are vertical angles.
OD. No because angles 5 and 3 are vertical angles.
O E. No because angles 5 and 3 are corresponding angles.
F. No because angles 5 and 3 are alternate interior angles.

Answers

Answer:

the answer is yes because angles 5 and 2 are same side interior angles and same side interior angles add up to 180*.

Step-by-step explanation:

Make sure not to be fooled by the "it looks like it" theorem.  Teachers will try to trick you by making the lines look not parallel.  All you need to look at are if the angles are congruent or supplementary based on the theorems you hopefully were taught in class.  Wow what has brainly done I sound like a teacher lol.

B is the correct answer

part 2 of important test, all solutions need to be the same

helppp

Answers

The solution of the quadratic equation using the quadratic formula is

x = 4 + 2√6 or  4 - 2√6

How to solve a quadratic equation using quadratic formula?

The quadratic formula is a formula used to solve quadratic equations, which are equations of the form ax² + bx + c = 0 where a, b, and c are constants. The quadratic formula is:

x = (-b±√(b²-4ac))/(2a)

Given: x² - 8x - 84 = 0

Here, a = 1, b = -8 and c = -84

x = (-b±√(b²-4ac))/(2a)

x = [-(-8)±√((-8)²-[4×1×(-8)])]/(2a)

x = [8±√(96)]/2

x = (8± 4√6)/2

x = 4 ± 2√6

x = 4 + 2√6 or  4 - 2√6

Thus, the solution is x = 4 + 2√6 or  4 - 2√6

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PLS HELP FOR 100 POINTS PLS

Answers

Answer:

it is 3

Step-by-step explanation:

I don't know I would

Answer:

it is 3

Step-by-step explanation:

It Basile 9 divide by 4

the interest charged on a $50,000, 60-day note payable, at the rate of 6%, would be

Answers

If the interest charged on a $50,000, 60-day note payable, at the rate of 6%, would be $500.

In the given question, we have to find the interest charged on a $50,000, 60-day note payable, at the rate of 6%.

The note payable = $50,000

Rate = 6% = 0.06

Period outstanding = 60

The total interest formula is a way to calculate the total simple interest on a sum of money over time at a specific interest rate.

Total Interest charged = Note Payable * rate * period outstanding

Total Interest charged = $50,000 * 0.06 * 60/360

Total Interest charged = $500

Hence, if the interest charged on a $50,000, 60-day note payable, at the rate of 6%, would be $500.

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Sam tested every 50th candy bar from the assembly line to make sure there were enough peanuts in each bar. He found 15% did not have enough peanuts. How many candy bars do not have enough peanuts if the factory produces 20,000 candy bars?.

Answers

Here every 50th candy bar is tested . It is a sampling interval .

What does "systematic sampling" mean?

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at regular intervals, such as every 15th person on a population list.

                       The advantages of simple random sampling can be imitated if the population is arranged randomly.

Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval. This interval, called the sampling interval.

Here every 50th candy bar is tested . It is a sampling interval .

Therefore he use systematic sampling plan.

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All the gummy machines at a candy factory work at the same rate: Six machines working simultaneously can complete big order in 22 hours. How many hours would it take t0 fill the order if the number of working machines decreased by a factor of 2? er: hours

Answers

The numbers of hours taken to fill the order if the number of working machines decreased by a factor of 2 is; 44 hours

How to find the rate of work?

We are given;

Numbers of hours a work is complete by 6 machines = 22 hours

Now, we know that the number of hours required to complete a work is inversely proportional to the number of machines used.

Therefore, If the number of working machines decreased by a factor of 2, then the number of hours will be increased twice.

Therefore, we can say that;

The numbers of hours taken to fill the order = (22 * 6)/3

= 44 hours

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