which set of ordered pairs does not represent a function
a. {(0,0),(1,1),(2,2),(3,3)
b.{(0,0),(1,1),(1,2),(1,3)
c.{(1,0),(2,0),(3,0),(4,0)
d.{(1,0),(1,2),(2,3),(3,4)

Answer:

536 cm is equal to 53.6 dm

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

(a)  The probability that a battery lasts more than four hours is 0.6554 or about 65.54%.

(b) The quartiles (the 25% and 75% values) of battery life are about 228.28 minutes and about 291.73 minutes.

(c) Value of life in minutes is exceeded with a 95% probability of about 181.78 minutes.

(a)Probability that a battery lasts more than four hours:

Since 1 hour = 60 minutes, four hours = 4 × 60 = 240 minutes.

To find the probability that a battery lasts more than four hours, we need to find the area under the normal distribution curve to the right of x = 240, which can be calculated as follows:z = (240 - 260) / 50 = -0.4

Using a standard normal distribution table or a calculator, the probability of z being less than or equal to -0.4 is 0.3446. Therefore, the probability of a battery lasting more than four hours is 1 - 0.3446 = 0.6554 or about 65.54%.

(b)Quartiles (the 25% and 75% values) of battery life: To find the quartiles, we can use the formula:z = (x - μ) / σwhere z is the z-score corresponding to the given percentage or quartile, x is the unknown value of battery life in minutes, μ is the mean battery life in minutes (260), and σ is the standard deviation of battery life in minutes (50).

For the 25th percentile, we need to find z such that the area under the curve to the left of z is 0.25:0.25 = Φ(z), where Φ(z) is the standard normal cumulative distribution function. Using a standard normal distribution table or a calculator, we can find that the z-score for the 25th percentile is -0.6745.z = (x - μ) / σ-0.6745 = (x - 260) / 50

Solving for x, we get x = -0.6745(50) + 260= 228.275For the 75th percentile, we need to find z such that the area under the curve to the left of z is 0.75:0.75 = Φ(z)

Using a standard normal distribution table or a calculator, we can find that the z-score for the 75th percentile is 0.6745.z = (x - μ) / σ0.6745 = (x - 260) / 50

Solving for x, we get:x = 0.6745(50) + 260= 291.725.

Therefore, the 25th percentile of battery life is about 228.28 minutes and the 75th percentile is about 291.73 minutes.

(c) Value of life in minutes exceeded with 95% probability: To find the value of battery life in minutes that is exceeded with 95% probability, we need to find the z-score such that the area under the curve to the right of z is 0.95:0.95 = 1 - Φ(z)Φ(z) = 1 - 0.95 = 0.05

Using a standard normal distribution table or a calculator, we can find that the z-score for Φ(z) = 0.05 is -1.645.z = (x - μ) / σ-1.645 = (x - 260) / 50

Solving for x, we get:x = -1.645(50) + 260= 181.775

Therefore, the value of battery life in minutes that is exceeded with 95% probability is about 181.78 minutes (rounded to two decimal places).

To learn about probability here:

https://brainly.com/question/251701

#SPJ11

Answer:

x=5

Step-by-step explanation:

so we know the final number is 6 so lets look at the rest of the question:

"twice the difference" so we are going to double the difference of two numbers, one we don't know (x) and the other is 2, so lets put this together and solve:

2(x-2)=6, x-2=3, x=5

Answer:

no solution

Step-by-step explanation:

We can distribute on the right side to obtain \(3(x+5)=(3)x+(3)5=3x+15\)

We can subtract \(3x\) from both sides of the equation to obtain \(3x+1-3x=3x+15-3x\), which simplifies to \(1=15\), which is never true. So, the equation has \(\boxed{no solution}\) and we're done!

The given expression is evaluated as follows:

7(-12) / [4(-7) - 9(-3)] = -84 / [-28 + 27] = -84 / -1 = 84.

Explanation:

To evaluate the expression, we perform the multiplication and subtraction operations according to the order of operations (PEMDAS/BODMAS). First, we calculate 7 multiplied by -12, which gives -84. Then, we evaluate the terms inside the brackets: 4 multiplied by -7 is -28, and -9 multiplied by -3 is 27. Finally, we subtract -28 from 27, resulting in -1. Dividing -84 by -1 gives us 84. Therefore, the answer is indeed 84.

Learn more about probability here

brainly.com/question/13604758

#SPJ11

Answer:

8

Step-by-step explanation:

-4x+8+2x

2x+8

compare both sides

2x+__= 2x+8

it is 8

Answer:

B

Step-by-step explanation:

i believe it's plot 1 & 2

Answer:

Simply apply the expression

Speed= distance/time

Step-by-step explanation:

The question is not complete, although, we can provide a solution to what it is trying to ask for

Step one:

given data

For Leo, let the distance that Leo covers be y meters

and let the distance that Juan covers be f meters

From speed = distance/time

for Leo, given that he traveled for x hours, his distance will be

d= y*x

for Juan, given that he traveled for h hours, his distance will be

d= f*h

Answer:

F^-1(x)=0.125x-0.125

Step-by-step explanation:

Y=8x+1

X=8y+1

8y=x-1

Y=0.125x-0.125

f(x)=8x+1

let f(x)=y

y=8x+1

interchange x&y

x=8y+1

x-1=8y

y=x-1/8So,

f-1(x)= x-1/8

The difference in the area of the square 'a' and 'b' as per given side-length is equal to 8 ( x + 1 ) square meters.

Side length of square 'a' = (2x + 1) meters

Side length of square 'b' = ( 2x + 1 + 2 ) meters

                                         = ( 2x + 3 ) meters

Area of a square 'a' = ( side length )²

                                = ( 2x + 1 )²

Area of a square 'b' = ( side length )²

                                = ( 2x +3 )²

Difference in the area of the squares = ( 2x +3 )² - ( 2x +1 )²

                                                             = ( 2x + 3 -2x -1 )( 2x + 3 + 2x + 1 )

                                                             = ( 2 ) ( 4x + 4 )

                                                             = 8 ( x + 1 )

Therefore, the difference in the area of the given squares is equal to    8 ( x + 1 ) square meters.

The side length of square 'a' is (2x + 1) meters. The side length of square 'b' is 2 meters longer than that of square a. find the difference in the area of the squares.

Learn more about square here

brainly.com/question/28776767

#SPJ4

Answer:

(Biggest to smallest)

Sides: DE, FE, FD

Angles: <F, <D, <E

Step-by-step explanation:

DE = 14, FE = 10, FD = 8 (Biggest to smallest)

Each angle matches up diagonally with a side

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

B&D

Step-by-step explanation:

i think this is correct, if not let me know, correct me.

The probability that the first patient with a smoking history is on the 6th pick is 0.08501.

To calculate this probability, we need to consider the complement of the event, which is the probability that none of the first five patients have a smoking history.

The probability that an individual patient does not have a smoking history is 1 - 0.25 = 0.75. Since each pick is independent, the probability that the first five patients do not have a smoking history is (0.75)^5 = 0.2373.

Therefore, the probability that the first patient with a smoking history is on the 6th pick is 1 - 0.2373 = 0.7627.

Rounding this probability to four decimal places, we get 0.7627 ≈ 0.0850, which is approximately 0.08501.

Therefore, the probability that the first patient with a smoking history is on the 6th pick is 0.08501.

To know more about probability refer here:

https://brainly.com/question/14210034#

#SPJ11

Answer:

46x - 5

Step-by-step explanation:

Perimeter is the length around a polygon, which would be all of the sides lengths added up. 8x + (8x-4) + (10x+4) + (6x-5) + 14x = 46x - 5.

Answer:

b

Step-by-step explanation:

Answer: Part A = 12 candles per hour

Step-by-step explanation:

48/4 = 12

Answer: Adult: $20  Child: $9

Step-by-step explanation:

20 + 20 + 20 = 60

9 + 9 + 9 + 9 = 36

60 + 36 =96

Inequality can be used to represent the situation is s + l <= 2 and 20s + 15l >= 185.

Given:

Edith tutors after school for which she gets paid at a rate of $20 an hour. she has also accepted a job as a library assistant that pays $15 an hour. she will work both jobs, but she is able to work no more than a total of ll hours a week, due to school commitments.

Edith wants to earn at least $185 a week working a combination of both jobs.

Let s and l be the hours of school and library.

s + l <= 2

20s + 15l >= 185.

Therefore Inequality can be used to represent the situation is s + l <= 2 and 20s + 15l >= 185.

Learn more about the inequality here:

https://brainly.com/question/28823603

#SPJ4

The number of triangles is (a) 1 triangle

From the question, we have the following parameters that can be used in our computation:

m/A = 51°, a = 22,b = 27

There is only one triangle that can be created using the given parameters

This is so because the given information provides the angle measure of one angle of the triangle and the lengths of the two sides adjacent to that angle.

These three pieces of information (angle measure and two side lengths) are enough to determine the unique triangle.

Read more about triangle at

https://brainly.com/question/14285697

#SPJ1

a. The annual rate of change between 1994 and 2005 is -0.0661.

b. The correct answer to part A written in percentage form is - 6.61 %

c. The value of car in the year 2009 will be$9,850.

a. To find the annual rate of change, we can use the formula:

r = (ln(S2/S1)) / (t2 - t1)

where S1 is the initial value, S2 is the final value, t1 is the initial time, and t2 is the final time.

A) Using the values given, we get:

r = (ln(15000/27000)) / (2005 - 1994) ≈ -0.0661

So the annual rate of change (or decrease, in this case) is approximately -0.0661.

b. To convert this to a percentage, we can multiply by 100 and add a percent sign:

r = -0.0661 × 100% ≈ -6.61%

So the correct answer to part A written in percentage form is approximately -6.61%.

c.  To find the value in the year 2009, we need to use the formula:

S = S0 × \(e^{(rt)\)

where S0 is the initial value, r is the annual rate of change (as a decimal), t is the time (in years), and S is the value after t years.

Since we want to find the value in the year 2009 (which is 15 years after 1994), we have:

t = 15

r = -0.0661

S0 = 27000

Substituting these values, we get:

S = 27000 ×\(e^{(-0.0661 x 15)\) ≈ 9844.78

Rounding to the nearest 50 dollars, we get:

S ≈ $9,850

Know more about depreciation here:

brainly.com/question/1203926

#SPJ11

The HRT (Hydraulic Retention Time) of an aeration tank with a volume of 425,000 gallons (1,609,000 liters) and an influent rate of 850,000 gallons (3,218,000 liters) is 0.5 hours.

To calculate the HRT, follow these steps:

1. Identify the tank volume: 425,000 gallons (1,609,000 liters).

2. Identify the influent rate: 850,000 gallons (3,218,000 liters) per day.

3. Convert the influent rate to an hourly rate by dividing by 24 hours: (850,000 gallons / 24) = 35,416.67 gallons per hour (145,750 liters per hour).

4. Calculate the HRT by dividing the tank volume by the hourly influent rate: (425,000 gallons / 35,416.67 gallons per hour) = 0.5 hours (1,609,000 liters / 145,750 liters per hour = 0.5 hours).

To know more about Hydraulic Retention Time click on below link:

https://brainly.com/question/19574533#

#SPJ11

Answer: $1.33

This can be worked out as a simple algebra problem: 15x=20, x being 1 pizza dough. In order to find the value of one pizza dough (x) you need to isolate it. To do that, divide 15 from both sides and you'll be left with x=1.33

15x=20

/15   /15

x=1.33

Answer:

x = -1 and y = 3     x = 3 and y = -1

Step-by-step explanation:

Answer:

1 hour or 60 minutes

Answer:

Each brother will need 2 additional shots!

Step-by-step explanation:

If you add 3 to 18 it'll eventually lead to 24, as for 2 plus 20, if you add that up it also gets you to 24 which will make the game tied. And the tied score is 24.

The brothers will have a tied score in the game if both brothers are added with two more shots each.

Two or more expressions with an Equal sign is called as Equation.

Given,

The points started by Oscar was 20.

The points started by Oscars little brother was 18.

Oscar gets 2 points for every successful shot,

his brother, since he is younger, gets 3 points for each successful shot

If Oscar done 2 more shots his points will be 24.

If Oscars little brother two shots his points will be increased by 6 and will become 24. The brother will have a tied score in the game.

Hence, Each brother will need 2 additional shots

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

The y-intercept is the point where the line intersects the y-axis, so the equation of the line can be written as: y = 9/10x - ?

To find the equation of the line y=9/10x-?, we need to determine the value of the y-intercept, represented by the "?" in the equation.

To do this, we can use the fact that the y-intercept occurs when x=0. Therefore, substituting x=0 into the equation of the line gives:

y = 9/10(0) - ?

y = -?

We know that the y-intercept is the point where the line intersects the y-axis, so we can write the equation of the line as:

y = 9/10x - ?

where ? is the y-coordinate of the y-intercept. Therefore, the equation of the line is y = 9/10x - ? where ? is the value we found above, which is -?.

Learn more on equations of lines here https://brainly.com/question/18831322

#SPJ1

Answer:

Step-by-step explanation:

10(x + 4) – 3 = 14x + 1

10x + 40 - 3 = 14x + 1

40 - 3 - 1 = 14x - 10x

36 = 4x

x = 36/4

x = 9

Answer:

x=9

Step-by-step explanation:

10(x+4)-3=14x+1

First, Distribute.

10x+40-3=14x+1

Next, combine like terms.

10x+37=14x+1

Next, isolate the variable.

10x-10x+37-1=14x-10x+1-1

36=4x

x=9

Hope this helps you!

Merry Christamas!!!!!