Please give full solution.

Answer:

The bottom one should be the answer

Step-by-step explanation:

A simple trick is to count how many units does the x travel from left to right, then count to the point. BTW they are separate numbers. The first one is x and the second one is y.

Answer:

-2

Step-by-step explanation:

Whenever you see f(x), for any number x, you plug x into the function. In your function, f(x) = -x - 1, you want to find f(1).

So, f(1) = -(1) - 1, which equals -2

Answer:

c = 33.5

Step-by-step explanation:

\(30^{2} + 15^{2} = c^{2}\)

\(900 + 225 = c^{2}\)

\(1125 = c^{2}\)

(find square root of both sides to get c alone)

\(c = 33.541\)

The dotplot of the simulation results and the sample of 10 buses provides convincing evidence that the true probability of a bus running off schedule is more than the claimed 10%. The data suggests that it is most likely for exactly one bus out of 10 to be running off schedule, and there is a low probability of 5 or more buses being off schedule.

Based on the dotplot of the simulation results and the sample of 10 buses, we can draw the following conclusions:

The true probability that a city bus is running off schedule is more than 10%:

The simulation results show that the frequency of buses running off schedule is concentrated towards the higher end of the spectrum. The dotplot indicates that 5 buses running off schedule is a relatively unusual occurrence, which suggests that the true probability is higher than the claimed 10%.

There is about a 3% chance that 5 or more buses are running off schedule:

Looking at the dotplot, we can see that the frequency of 5 buses running off schedule is quite low, with only 2 occurrences out of the 100 trials. This indicates that it is unlikely for 5 or more buses to be running off schedule under the assumption that only 10% of buses run off schedule.

It is most likely that exactly one out of 10 buses is running off schedule:

The dotplot shows a peak in the frequency at 1 bus running off schedule. This suggests that one bus running off schedule is the most probable scenario among the 10-bus samples.

If we continued to take more samples of 10 buses, the center of the distribution would shift to 1:

Based on the dotplot, the distribution appears to be centered around 1 bus running off schedule. This indicates that as more samples of 10 buses are taken, the average number of buses running off schedule would tend to be closer to 1.

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The correct option is (D). Approximately 77.3% of new machine set ups are completed in less than 25 minutes.

Given a local manufacturing plant, employees must complete new machine set ups within 30 minutes.

The new machine set-up times can be described by a normal model with a mean of 22 minutes and a standard deviation of four minutes. The typical worker needs five minutes to adjust to their surroundings before beginning their duties.

To find the percentage of new machine set ups completed in less than 25 minutes, we need to calculate the z-score. For this, we will use the formula:

z = (X - μ) / σ

where X = 25 minutes, μ = 22 minutes, and σ = 4 minutes

z = (25 - 22) / 4z = 0.75

We can now look up the percentage of the area under the normal distribution curve that corresponds to z = 0.75. Using a standard normal distribution table, we find that the area to the left of z = 0.75 is approximately 0.7734.

So, the percentage of new machine set ups completed in less than 25 minutes is approximately 77.34%.

Therefore, the correct option is (D).Approximately 77.3% of new machine set ups are completed in less than 25 minutes.

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As a result, algorithm iii only runs in a reasonable amount of time.

Therefore, the correct answer is iii only.

The algorithm that runs in a reasonable time is algorithm iii only.

Each algorithm has a different number of accesses to the list.

Algorithm 1 accesses each element in the list twice, algorithm 2 accesses each element in the list n times, and algorithm 3 accesses only the first 10 elements in the list, regardless of the size of the list.

It's important to note that n is a very large integer, so accessing each element in the list n times or even twice would result in a significant amount of time to execute.

Thus, algorithm 1 and algorithm 2 would not run in a reasonable amount of time.

Algorithm 3, on the other hand, only accesses the first 10 elements in the list.

Therefore, the size of the list does not impact the time it takes to execute the algorithm.

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Answer:

sorry,dont know......

Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.

The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.

Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.

Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.

Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.

Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.

In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.

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If 150 town residents were asked about their age and yogurt , then the probability that a randomly selected customer prefers Swirl if age is at least 25 years old is 0.66 .

let X be = the selected customer that prefers swirled yogurt or is at least 25 years old ;

The sum of all the customers that are "at least 25 years old" = 21 + 30 + 24 = 75 ;

the sum of all the customers that " like Swirl Yogurt" is = 24 + 24 = 48 ;

the total number of residents = 150 students ;

So , the probability is calculated as : ( 75+48 -24)/150 = 0.66 .

Therefore , the required probability is 0.66 .

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The given question is incomplete , the complete question is

The 150 residents of the town of wonderland were asked their age and whether they preferred vanilla, chocolate, or swirled frozen yogurt. the results are displayed next.

     Age                               Chocolate      Vanilla      Swirl

under 25 years old                  22                 29             24

at least 25 years old                21                  30             24

What is the probability a randomly selected customer prefers Swirl Yogurt given he or she is at least 25 years old ?

Answer:

They are both the same line

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

5 people have 1/2 of a pizza to share among themselves. They all want an equal portion, so we have to divide 1/2 by 5 in order to determine what fraction of the pizza they will all get.

1/2 / 5 = 1/10

To get this, remember the rule when dividing fractions. Change the second number to be a reciprocal of itself (flip the top number to be the bottom number, and vice versa) and then multiply the two fractions together. 5 is the same thing as 5/1, so the reciprocal of 5/1 is 1/5. To multiply two fractions, multiply the top numbers and the bottom numbers separately.

1/2 * 1/5 = 1/10

Hope this helps.

To determine how the graph of the parent function \(y = x^2\) is transformed to create the graph of the new function \(y = -(x – 1)^2 – 5\), we need to analyze the individual transformations one by one Therefore the correct option is A.

1. Translation: (x – 1) This term inside the function represents a horizontal translation of the graph. When we subtract 1 from x, the entire graph is shifted to the right by 1 unit. Hence, this function is translated right 1 unit. 2. Reflection: (-) The negative sign outside the function reflects the graph across the x-axis. Thus, the graph opens downward.

3. Vertical Transformation: -5 The term -5 outside the function causes a vertical shift of the graph downward by 5 units. In summary, the graph of the new function \(y = -(x – 1)^2 – 5\)  undergoes the following transformations: - Translated right 1 unit due to (x – 1) - Reflected (opens downward) due to the negative sign - Translated down 5 units due to -5 Therefore, the correct answer is A. Translated right 1 and down 5 only

Hence the correct option is A

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The rectangle's measurements are 13.2 feet wide by 19.2 feet long, giving it a total area of 253 square feet.

The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Here,

length of rectangle=l

width=w

l=w+6

area=l*w

253=(w+6)*w

w²+6w-253=0

w=13.2 feet

l=19.2 feet

The dimensions for the rectangle that have area as 253 sq-feet will be 13.2 feet as width and 19.2 feet as length.

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The probability that a randomly selected 3-year-old is enrolled in daycare is 0.404 or 40.4%.

According to the information provided, 40.4% of 3-year-olds are enrolled in daycare. This means that out of all the 3-year-olds in the population, 40.4% of them attend daycare. Therefore, the probability of randomly selecting a 3-year-old who is enrolled in daycare is 0.404 or 40.4%.

Probability is a measure of the likelihood of an event occurring. In this case, the event is a randomly selected 3-year-old being enrolled in daycare. The probability is calculated by dividing the number of favorable outcomes (3-year-olds enrolled in daycare) by the total number of possible outcomes (all 3-year-olds). Since the given information states that 40.4% of 3-year-olds are enrolled in daycare, we can directly interpret it as the probability of selecting a randomly chosen 3-year-old who is enrolled in daycare. Therefore, the probability is 0.404 or 40.4%.

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The fraction will increase by 140% .

Given,

Numerator is increased by 20% .

Denominator is decreased by 50% .

Then,

Lets call one number x and the other one y

first you have the fraction x/y

When you increase the numerator by 20% you get 1.2

when you increase the denominator by 50% you get 0.5

Then you get the fraction 1.2x/0.5y

Since fractions are basically division you divide 1.2 by 0.5 which is 2.4

2.4 as a percent is 240%

you subtract that from 100 and you get 140% .

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Answer:

(x - 4)^2 + 4

Step-by-step explanation:

  x^2 - 8x + 20

= x^2 - 2*4*x + 16 + 4

= x^2 - 2*4*x + 4^2 + 4

= (x - 4)^2 + 4

= (x - a)^2 + a, with a = 4

Hope this helps!

Answer:

m∠ABC = 130°

Step-by-step explanation:

Since ∠ABE ≅ ∠CBD [vertical angles]

(Vertical angles are the vertically opposite angles between two lines intersecting at a point.)

m∠ABE = m∠CBD = 50°

m∠ABE + m∠ABC = 180°

50 + m∠ABC = 180

m∠ABC = 130°

Therefore, m∠ABC = 130° will be the answer.

The equation of the trend line is y = 3x + 15

Start by entering the table of values in a graphing calculator.

From the graphing calculator, we have the following summary:

The equation of the trend line is represented as:

y = bx + a

Where

b = SP/SSX = 52.5/17.5 = 3

a = MY - bMX = 25.5 - (3*3.5) = 15

This gives

y = 3x + 15

Hence, the equation of the trend line is y = 3x + 15

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11.5 and 15 are the values that are part of the solution set of the inequality.

Inequality is defined as relationship between non-equal numbers or expressions. The solution of an inequality is the set of values that satisfies the given inequality.

To determine the solution set of the given inequality, isolate the variable to one side and simplify.

-4x + 24 < -2x + 2

-4x + 2x < -24 + 2

-2x < -22

22 < 2x

11 < x

Hence, the solution set of the given inequality is the set of numbers greater than 11. Among the given choices, 11.5 and 15 are both greater than 11.

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Answer: Since triangle QRS and triangle TUV are both triangles, we can use the fact that the sum of the interior angles in a triangle is 180 degrees.

In triangle QRS, the measure of angle Q is 117 degrees and the measure of angle R is 180 - 117 = 63 degrees. The measure of angle S is 180 - 63 = 117 degrees, since the angles in a triangle add up to 180 degrees.

In triangle TUV, the measure of angle T is 180 - 30 = 150 degrees and the measure of angle U is 30 degrees. The measure of angle V is 180 - 150 = 30 degrees, since the angles in a triangle add up to 180 degrees.

The measures of LQ and LS can be found using the fact that the exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

The measure of LQ is equal to the sum of the measures of angles R and T:

LQ = 63 + 150 = 213 degrees

The measure of LS is equal to the sum of the measures of angles Q and U:

LS = 117 + 30 = 147 degrees

So the measure of LQ is 213 degrees and the measure of LS is 147 degrees.

Step-by-step explanation:

Answer:

m = -4 / 12 = -1 / 3 = -0.33333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the price of the house be P .

10 % of P is demanded as down payment

10 % of P  = P x 10 / 100

= P / 10

This down-payment = 50000

P / 10 = 50000

P = $5,00,000 .

Price of house = $5,00,000

To find the area between two z-scores on the TI-84, use the "normalcdf" function with the lower and upper z-scores as the first two arguments, and the mean (if not 0) as the third argument.

To find the area between two z-scores on the TI-84 calculator, you can use the "normalcdf" function. First, you need to determine the lower and upper z-scores that define the area you want to find.  For example, if you want to find the area between z=-1.5 and z=1.5, you would enter "normalcdf(-1.5, 1.5)" into the calculator. The answer will give you the area between those two z-scores. It's important to note that the "normalcdf" function requires three arguments: the lower z-score, the upper z-score, and the mean (which is assumed to be 0 if not specified). Therefore, when using this function, make sure to include all three values.

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The answers are: a. The down payment is $218.25. b. The total amount of the monthly payments is $1,455.24. c. Shania will pay $1,673.49 for the drum set on the installment plan. d. The finance charge is $218.49.

a. The down payment can be calculated by multiplying the price of the drum set by the down payment percentage. In this case, the down payment is 15% of $1,455. So, the down payment is 0.15 * $1,455 = $218.25.

b. The total amount of the monthly payments can be found by multiplying the monthly payment amount by the number of payments. In this case, Shania has 18 monthly payments of $80.78 each. So, the total amount of the monthly payments is 18 * $80.78 = $1,455.24.

c. To find the total cost of the drum set on the installment plan, we need to add the down payment to the total amount of the monthly payments. The total cost is $218.25 + $1,455.24 = $1,673.49.

d. The finance charge can be calculated by subtracting the price of the drum set from the total cost. In this case, the finance charge is $1,673.49 - $1,455 = $218.49.

Therefore, the answers are:

a. The down payment is $218.25.

b. The total amount of the monthly payments is $1,455.24.

c. Shania will pay $1,673.49 for the drum set on the installment plan.

d. The finance charge is $218.49.


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Answer: Parallel

Step-by-step explanation:

We can find their slopes to determine if the lines are parallel or perpendicular.

\(m_a=\frac{10-6}{2-9}=-\frac{4}{7}\\\\m_b=\frac{11-7}{2-9}=-\frac{4}{7}\)

Since the equations of the lines are not the same but the slopes of the lines are equal, they are parallel.

Answer:

a) X + X + 1 = 11

Step-by-step explanation:

Em matemática, a soma de consecutivos é expressa matematicamente como:

X + (X + 1) + (X + 2) + (X + 3) .............

Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11

Portanto, esta expressão algébrica é dada como:

X + (X + 1) = 11

X + X + 1 = 11

Portanto, a opção a) X + X + 1 = 11 é a opção correta

Answer:

only the first two i am pretty sure thw other ones make any sense  

Step-by-step explanation: