two events each have probability 0.2 of occurring. the probability that neither occur is 0.6. these events are:

The supplied document states that Juan must pay $265.32 in total for the instrument.

Any transaction in which goods or services are exchanged for cash is referred to as a sale. In other words, a transaction is any activity that involves transferring ownership of a good or service to the buyer in exchange for cash.

The instrument costs $329.99 at standard pricing.

$329 * 25% = $82.50

The guitar's discount price is thus $329.99 less $82.50, or $247.49.

7.25% of the purchase price is used to compute sales tax.

Therefore, $247.49 * 7.25% = $17.83

As a result, we eventually tack on the taxation to the purchase price to determine Juan's final obligation to pay for the guitar.

$247.49 + $17.83 = $265.32

The total price that Juan shall pay for something like the guitar is thus $265.32.

To know more about Sales visit:

https://brainly.com/question/24951536

#SPJ1

a) 100%
b) 19/50 or 38%

The probability that the sum of the two dice will be odd is 2/3.

The probability of getting an odd number from the sum of two fair dice can be calculated as follows:

If both dice show an odd number (1 or 3), the sum will be even.

If both dice show an even number (2 or 4), the sum will be even.

If one die shows an odd number and the other an even number, the sum will be odd.

Since each die has a 1/3 chance of showing an odd number and a 2/3 chance of showing an even number, the probability of getting an odd number is 2/3 * 1/3 + 1/3 * 2/3 = 2/3.

Therefore, the probability that the sum of the two dice will be odd is 2/3.

Learn more about probability at:https://brainly.com/question/25839839

#SPJ4

Answer:

It's exactly one

Step-by-step explanation:

You can test:

Op1:

x = -1

==> -1-1 = -2 then -2x2 = -4 (This's right)

Op2:

x = 1

==> 1-1=0 (this's wrong)

So ==> Ans is A) Exactly one

#JS1T

The given quadratic equation has exactly two solutions. Therefore, option B is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is (x-1)²= -4.

Square root on both the sides we get

√(x-1)²=√(-4)

x-1=±2i

x=±2i+1

x=2i+1 and x=-2i+1

Therefore, option B is the correct answer.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ2

The value the angles Y is 40° if ∠S and ∠Y are complimentary, as stated in the previous sentence.

Complement or "favorable" refers to "offering a compliment." In the context of goods or services offered as a favor, it can also signify "free." The term "complementary" means to emphasize or enhance the positive aspects of that other person or object.

Angles that add up to 90 degrees are said to have complementary angles.

As a consequence, the value of factor y will be determined using the information provided:

x + y = 90°

3y - 70° + y = 90°

Collect like terms

3y + y = 90° + 70°

4y = 160°

y = 160/4

y = 40°

Angle y has a value of 40°.

To know more about Complementary visit:

https://brainly.com/question/16281260

#SPJ1

The proportion of minor arc ZPSR is equivalent to 48 degrees.

Given a circle Q with focus Q and minor curve PR with a proportion of 48 degrees, the objective is to find the proportion of ZPSR, the focal point that compares to the minor circular segment PR.

Since the focal point and the circular segment length of a circle are corresponding, the proportion of ZPSR can be found by partitioning the proportion of the minor curve PR by 360 degrees and afterward duplicating by the all out number of degrees all around, which is 360.

The recipe for the focal point comparing to a minor circular segment is given by:

mZPSR = (mPR/360) × 360

Subbing the given worth of mPR = 48, we get:

mZPSR = (48/360) × 360

= (1/7.5) × 360

= 48

Learn more about the minor arc at

https://brainly.com/question/1831869

#SPJ4

One foot is equal to 12 inches in the customary system.

To know more about customary system , check out :

https://brainly.com/question/8479164

#SPJ1

Answer:

Step-by-step explanation:

Perimeter of the rectangle= 42 cm

                               Length= x

                              Breadth= y

                                  2(x+y)= 42

                                     x+y= 42/2= 21 (Let it be the first equation)

Perimeter of the triangle= 36 cm

                         x+y+2y-3= 36 cm (Let it be the second equation)

Substitute equation 1 in 2.

 x+y+2y-3= 36

⇒ 21+2y-3= 36

            2y= 36-21+3

            2y= 18

              y= 18/2

              y= 9

x+y= 21

x+9= 21

   x= 21-9

   x= 12

∴ the values of x and y are 12 and 9 respectively.

The expression 32.6/10 - 5 x 8 - 9.16 + 88.9 has the value of 43.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Let's the expression to be found be "y".

An expression that, when evaluated, gives us a value of 43 is required.

Start by manipulating the given expression to isolate the value of "y".

Use the order of operations (PEMDAS) to simplify the expression -

32.6/10 - 5 × 8 - 9.16

3.26 - 40 - 9.16 (since 5 × 8 = 40)

-45.9

So the value of the given expression is -45.9.

To make the expression equal to 43, add a constant term to it -

y = 32.6/10 - 5 × 8 - 9.16 + 88.9

Evaluate this expression -

y = 3.26 - 40 - 9.16 + 88.9

= 43

Therefore, the expression obtained is 32.6/10 - 5 x 8 - 9.16 + 88.9.

To learn more about expression from the given link

https://brainly.com/question/24734894

#SPJ1

Answer:

BD = 2.4

Step-by-step explanation:

the answer can be easily found by using pythagoreans theorem.

BD = height (h)

3 = SqrRt ( 1.8² + h² )

3² = 1.8² + h²

9 - 1.8² = h²

5.76 = h²

h = 2.4

TRUE .The domain of the function is all real numbers.

FALSE , The range of the function is (0, [infinity]).

FALSE, The y-intercept is (0, 0).

FALSE , The center of symmetry is (0, 8).

True. The function f(x) = 2x^3 + 8 can take any real number as input and produce a real number as output.

False. The range of the function is all real numbers greater than or equal to 8, i.e., [8, [infinity]).

False. The y-intercept of the function is (0, 8), meaning that when x = 0, the output of the function is 8.

False. The function f(x) = 2x^3 + 8 does not have a center of symmetry, as it is an odd degree polynomial.

Learn more about function f(x) here :

brainly.com/question/8859279

#SPJ4

Answer:

Step-by-step explanation:

To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.

In this case:

Journey distance = 12714 km - 12138 km = 576 km

So the journey was 576 kilometers.

Yes, Emma is correct. The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

2(3w-6) = 6w - 12

2(3w-6)

2 • (3w - 6)

2 • 3w - 2 • 6

6w - 12

The expression 2(3w-6) can be expanded by first multiplying the two together. This is done by multiplying the coefficient of 2 with each of the terms inside the parentheses. This results in 2 • 3w - 2 • 6. Next, the terms inside the parentheses can be combined. Since they are both being multiplied by 2, we can simply add the two terms together, resulting in 6w - 12. Thus, the expression 2(3w-6) can be expanded to 6w - 12.The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Let's call the number of first-class tickets Sarah purchased x. Then the number of coach tickets purchased is 9 - x.

The total cost of the first-class tickets was x * $980 and the total cost of the coach tickets was (9 - x) * $120.

The total budget for airfare was $6240, so we can set up the following equation:

x * $980 + (9 - x) * $120 = $6240

Solving for x, we get:

x = 5

So, Sarah purchased 5 first-class tickets and 9 - x = 4 coach tickets.

learn more about total cost here:

https://brainly.com/question/13950634

The domain of the equation A = 25/ ( y - 9 ) is y < 9 or y > 9 and the interval notation is ( -∝ , 9 ) ∪ ( 9 , ∝ )

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 25/ ( y - 9 )   be equation (1)

when y = 0 , the equation is undefined

So , the domain of the function will be y < 9 or y > 9 and the interval notation is ( -∝ , 9 ) ∪ ( 9 , ∝ )

Hence , the domain is ( -∝ , 9 ) ∪ ( 9 , ∝ )

To learn more about domain and range click :

https://brainly.com/question/28135761

#SPJ1

Answer: y=x/3 + 5/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.

Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Step 1: Find the slope:

We can use the two points to find the slope:

m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2

Step 2: Use the point-slope form:

y - 1 = 2(x - (-2))

y - 1 = 2x + 4

y = 2x + 5

The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.

There are 2880 calories in three pounds of the ice cream.

There are 750 calories in ten ounces of a certain ice cream.

Total calories=750

Number of ounces given=10

First, we need to convert three pounds to ounces:

⇒1 pound=16 ounces

⇒3 pounds = 3 * 16 ounces = 48 ounces

So, we need to find the number of calories in 48 ounces of the ice cream.

Since there are 750 calories in ten ounces, then there will be

⇒[tex]750*\frac{48}{100}[/tex]750 = 2880 calories in 48 ounces.

Therefore, there are 2880 calories in three pounds of the ice cream.

For more such questions on calories & ounces

https://brainly.com/question/14059175

#SPJ4

Answer:

138

Step-by-step explanation:

720 - all the angles added up gives you the missing angle

Answer:

x = 138°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

sum the interior angles and equate to 720°

x + 85° + 135° + 125° + 85° + 152° = 720°

x + 582° = 720° ( subtract 582° from both sides )

x = 138°

After buying x bottles of water, the money will remain in her checking account is equals to the $(250 - 2x). So, the correct answer is option (b).

We have Denise has a checking account.

The amount on her checking account = $250

The price of each water bottle = $2

Number of boltes bought by Denise = x

Let the total remaining money after the spend by Denise on water bottles be " $y". Total cost of x bottles = number of bottles × cost of one bottle

= x× $2 = $ 2x

We have to determine the value of y. The money remaining in her account = total amount in her checking account - spends money

=> y = $ 250 - $2x

which is a two variable linear equation, when we know that how many bottles she buy, i.e., value of x then we will determine the value of y. So, the required value is $ 250 - $2x .

To learn more about linear equation, refer :

https://brainly.com/question/2030026

#SPJ4

Complete question:

Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys

x bottles of water, how much money will remain in her account?

a) $ 250 + $2x

b) $ 250 - $2x

c) $250

This is an example of stratified sampling.

Samples may be classified as:

For this problem, we have that the population was divided into groups, hence either cluster or stratified sampling was used.

As an equal proportion of each group was sampled instead of the entire group, stratified sampling was used.

More can be learned about sampling at brainly.com/question/9910540

#SPJ1

Answer:

Step-by-step explanation:

The answer is Graph B.

First the equation needs to be in standard form.

x² + 8x= -20

becomes    y = x² + 8x + 20

The leading coefficient is positive - a positve one is in front of the x.

So the parabola opens upward.

solve for the x coordinate of the minimun by using the formula

x = -b/2a

x = -8/2(1) =  - 8/2 =   -4

substitute -4 into the original equation.

y = (-4)² + 8(-4) + 20

y = 16 + -32 + 20

y = -16 + 20

y = 4

so the minimun - or bottom of the parabola is (-4, 4)

Correct choice is graph B

The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.

Fred's dog weight in September= 45 pounds

Percentage increase= 25%

Fred's dog weight in March = x

45 = x + (25% of x)

45 = x + 0.25x

45 = 1.25x

divide both sides by 1.25

x = 45/1.25

x = 36 pounds

Hence, Fred's dog weighs 36 pounds in March.

Read more on percentage:

https://brainly.com/question/843074

#SPJ1

Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.

Ryan rides his bike for 30 minutes and travels a distance of 4 miles.

We have to determine how fast he was traveling.

Time = 30 minutes

First we convert the minutes in hours.

As we know that;

1 hour = 60 minutes.

So 1 minute = 1/60 hours

30 minutes = 30/60 hours

30 minutes = 1/2 hours

Distance = 4 miles

The formula of speed is;

Speed = Distance/Time

Speed = 4/(1/2) miles per hours

Speed = 4 × 2 miles per hours

Speed = 8 miles per hours

To learn more about formula of speed link is here

brainly.com/question/3004254

#SPJ4

Erik’s average speed in miles per hour is  114. 04 miles per hour

Average speed can simply be defined as the total distance that is traveled by the object in a particular time range.

It is also known as a scalar quantity, that is, it has magnitude but no direction.

From the information given, we have that;

The formula for average speed is expressed as;

Average speed = Distance/ time

Substitute the values, we get;

Average speed = 2623/23

Divide the values, we get;

Average speed = 114. 04 miles per hour

Hence, the value is 114. 04 miles per hour

Learn about average speed on:

https://brainly.com/question/4931057

#SPJ1

Answer:

10,5625

Step-by-step explanation:

S (triangle) = 1/2 * a * h

a= 3 1/4 = 3.25

h = 6 1/2= 6.5

=> S= 10,5625

Answer:

9.79

Step-by-step explanation:

12 × 8 and root of that is 9.7979589

Answer:

First Two Options

Step-by-step explanation:

The percentage of students who like chicken nuggets is 97%, which is equivalent to 97 students.

To better understand this question, let's simplify some of the information given:

4/7 out of the girls liked the chicken nuggets = 0.57 or 57% of the girls

40% of the boys liked the chicken nuggets = 0.40

Based on this information, it can be concluded that 97% of students liked chicken nuggets. Moreover, if the population includes 100 students, this percentage will be equivalent to 97 students.

Learn more about percentages in https://brainly.com/question/29306119

#SPJ1

In the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.

A mathematical equation, such as 6 x 4 = 12 x 2, states that two amounts or values are equivalent a meaningful noun.

An equation is used when two or more factors must be considered jointly in order to understand or explain the whole situation.

So, in the question we have:

50 pages of the book already read by Chole.

He reads 40 pages every hour.

He reads for more x hours.

Then, accordingly, the equation will be:

40x + 50 = P

Where x is the number of hours read and P stands for the total pages read.

Therefore, in the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ4

Answer:

1.25

Step-by-step explanation:

To get your answer first multiply the $25 by 5% then you will get 1.25 as your answer.

Answer:

Step-by-step explanation:

It can be modeled by the equation:

y = x + 0.05x

So, Keenan pays about $398.02