What is the slope and the y-intercept of the line on the graph below? 3 0 3 -6-5-4-3-2-1- in be slope = -4, y-intercept = 1 O slope = -4, y-intercept = 4 1 O slope 4. y-intercept = 1 Next Save and Exit Subrnit Mark this and return​

The correct option is A: the probability distribution for the winning ticket:

1          2        3       4      5      6       7       8       9      10

0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10

A frequency distribution that has been idealised is a probability distribution.

Total people = 10 (1 - 10)

One ticket is selected at random from each person.

As the selection is independent events of each other, each will have the same probability.

So,

probability = favourable outcome / total outcome.

probability = 1/10

probability = 0.10.

Thus, the correct option is A: the probability distribution for the winning ticket:

1          2        3       4      5      6       7       8       9      10

0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10  0.10

Know more about the probability distribution

https://brainly.com/question/24756209

#SPJ1

By simplifying the decimal 0.612(12 repeatings) simplifies to the fraction 60.6/99.

To simplify the decimal 0.612(12 repeatings) to a fraction, we can represent it as follows:

Let x = 0.612(12 repeating)

Then 100x = 61.212(12 repeating)

Subtracting the two equations gives:

100x - x = 61.212(12 repeating) - 0.612(12 repeating)

99x = 60.6

x = 60.6/99

To get to this answer, we first multiplied the decimal by 100 to shift the repeating decimal point two places to the right. We then subtracted the original equation from this new equation to eliminate the repeating decimal. We simplified the resulting fraction by dividing both the numerator and denominator by their greatest common factor of 6. Thus, the final answer is 60.6/99.

Learn more about the fraction at

https://brainly.com/question/10354322

#SPJ4

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

To learn more about thickness click here: brainly.com/question/23622259

#SPJ11

Answer:

area= 83

Step-by-step explanation:

the formula for area of a tringale is HxB/2 so the area for the tringles are 28 and 15 and area for a rectangle is LxW so it is 40 and add it all togeteher and you get 83

Answer: 20 cents per pencil

Step-by-step explanation:

Using trigonometric identity, cos(A-B) is:

\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

If sin A = 1/3 and A terminates in Quadrant 1. All trigonometric functions in Quadrant 1  are positive

sin A = 1/3 (sine = opposite/hypotenuse)

adjacent = √(3² - 1²)

               = √8 units

cosine = adjacent/hypotenuse. Thus,

\(cos A = \frac{\sqrt{8} }{3}\)

If cos B = 2/3 and B terminates in Quadrant 4.

opposite = √(3² - 2²)

                = √5

In  Quadrant 4, sine is negative. Thus:

\(sin B = \frac{\sqrt{5} }{3}\)

We have:

cos(A-B) = cosA CosB + sinA sinB

\(cos (A-B) = \frac{\sqrt{8} }{3} * \frac{2}{3} + \left \frac{1}{3} * \frac{\sqrt{5} }{3}\)

\(cos (A-B) = \frac{2\sqrt{8} }{9} + \left\frac{\sqrt{5} }{9}\)

\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

The expected length of a staff meeting is approximately 12.5 minutes.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To calculate the expected length of a staff meeting, we need to find the mean of the probability density function given.

The formula for finding the expected value or mean of a continuous random variable with probability density function f(x) is:

E(X) = ∫ x f(x) dx over the range of the variable

Using this formula, we can find the expected length of a staff meeting as follows:

E(X) = ∫ x f(x) dx over the range of the variable

  = ∫ 0 to 1 x \(5(x-0.5)^{5}\) dx  (since the length of a meeting can't be negative)

  = 5 ∫ 0 to 1 x\((x-0.5)^{5}\) dx

Now we can use integration by parts or substitution to solve the integral. For simplicity, we can use substitution, with u = x - 0.5 and du = dx:

E(X) = 5 ∫ -0.5 to 0.5\(5(x-0.5)(u)^{5}\) du

= 5 ∫ -0.5 to 0.5 \((u^6 + 0.5u^5)\) du

= 5 [(1/7)\(u^7\\\) + (1/10)\(u^6\)] evaluated at -0.5 and 0.5

= 5 [(1/7)\((0.5)^7\) + (1/10)\((0.5)^6\) - (1/7)\((-0.5)^7\) - (1/10)\((-0.5)^7\)]

≈ 0.2083 hours or 12.5 minutes

Therefore, the expected length of a staff meeting is approximately 12.5 minutes.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ4

The equivalent expression for the given expression is 60mn.

The given expression is 3×4×5×m×n.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here, 3×4×5×m×n = 60mn

Therefore, the equivalent expression for the given expression is 60mn.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ6

Answer:

Pool K cost equation : 30 + 5V , Pool M cost equation : 10 + 10V

Pool K slope & intercept  = 30 & 5 , Pool M slope & intercept = 10 & 10

Step-by-step explanation:

Total cost  [Pool] = Fixed (membership) cost + Variable cost (per visit)

Intercept is part at which equation line intersects x or y axis. In pools case, it is  fixed (membership) cost. Slope is change in y due to change in x. In pools case, it is variable cost (per visit)

Pool K cost equation : 30 + 5V , Pool M cost equation : 10 + 10V

where V = number of visits.

Pool K slope & intercept  = 30 & 5 , Pool M slope & intercept = 10 & 10

Answer:

1. 600 watts

2. 35640 J

3. 55%

4. 20 J

5. The cost of running the fire is 8p.

Step-by-step explanation:

1. Energy = 36 000 J , t = 1 minute = 60 seconds

Power = \(\frac{energy}{time}\)

           = \(\frac{36000}{60}\)

          = 600 watts

2. Power = \(\frac{work done}{time}\)

⇒ work done = Power × time

                      = 99 × 360

                      = 35640 J

3. Efficiency = (Output / Input) × 100

                    = \(\frac{55}{100}\) × 100

                    = 55%

4. Work done = Force × distance

                      = 5 × 4

                      = 20 J

5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.

  Power = \(\frac{energy}{time}\)

Energy = Power × time

            = 4 × 4

           = 16 KWh

The cost of running the fire = \(\frac{16}{2}\)

                = 8p

Answer:

the reminder is 5 and the quotient is 2x+4

Answer:

88

Step-by-step explanation:

GIVE ME BRAINIEST

Answer:

10

Step-by-step explanation:

The median is the number in the middle when they are in order

-6, -4, 4, 5, 7, 10, 11, 12, 13, 16, 20

\(x(t)=5+5sin(2t)+1cos(3t).\)

We need to find the DC coefficient of the Fourier series expansion of the given signal x(t).

DC coefficient of a signal is the coefficient of 1/2π in the Fourier series representation of the signal.

Mathematically, it is given by the expression shown below;

\($$F_0=\frac {1} {T}\int _{-T/2} ^{T/2} x(t)dt$$\)

where T is the time period of the signal x(t).

Since x(t) is periodic with time period T, we have \($$x(t+T)=x(t)$$\)

Taking T=2π (least possible time period of the given signal), we have \($$x(t+2\pi)=x(t)$$$$\\)

Rightarrow\(5+5\sin (2(t+2\pi))+\cos (3(t+2\pi))=5+5\sin (2t)+\cos (3t)$$$$\Rightarrow 5+5\sin (2t)+\cos (3t)=5+5\sin (2t)+\cos (3t)$$$$\Rightarrow x(t+2\pi)=x(t)$$We have,$$F_0=\frac {1} {T}\int _{-T/2} ^{T/2} x(t)dt$$\)

Substituting \(T=2π and x(t)=5+5sin(2t)+cos(3t), we get$$F_0=\frac {1} {2\pi}\int _{-\pi} ^{\pi} (5+5sin(2t)+cos(3t))dt$$$$F_0=\frac {1} {2\pi} \left[ 5t-\frac {5} {2}\cos(2t)+\frac {1} {3}\sin (3t) \right] _{-\pi} ^{\pi}$$$$F_0=\frac {1} {2\pi} \left[ 5(2\pi)-\frac {5} {2}\cos(2\pi)-5(2\pi)+\frac {5} {2}\cos(-2\pi)-\frac {1} {3}\sin(3\pi)+\frac {1} {3}\sin (-3\pi) \right]$$$$F_0=\frac {1} {2\pi} \left[ 10\pi \right]$$$$F_0=5$$\) , the DC coefficient of the given signal is 5.

To know more about coefficient visit:

https://brainly.com/question/13431100

#SPJ11

Answer:

volume of a cylinder = 536.9 cm³

Step-by-step explanation:

volume of a cylinder, V = πr²h

where π = 3.14

h = 19 cm

r = ?

given is diameter = 6 cm

as we know, r = d/2 = 6/2 = 3 cm

by substituting the values in the formula,

V = 3.14 * 3² * 19

= 536.94 cm³

by rounding off to the nearest tenth place,

volume of a cylinder = 536.9 cm³

Answer:

v = 537.2 cm3

Step-by-step explanation:

volume:

\(v=\pi r^{2} h\)

\(r=d/2=6/2=3cm\)

\(h=19cm\)

\(v=\pi (3)^{2} (19)=171\pi\)

\(v=537.21\)

Rounded nearest tenth:

\(v=537.2cm^{3}\)

Hope this helps

Answer:

2:2:2

1:1:1

2 to 2 to 2

1 to 1 to 1

Step-by-step explanation:

To show that every amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills, we can use a technique called "proof by induction."

First, let's check the base case: can we make 18 dollars using only 3-dollar and 10-dollar bills? Yes, we can use two 3-dollar bills and one 10-dollar bill: 3 + 3 + 10 = 16.

Now, let's assume that we can make any amount greater than n dollars using only 3-dollar and 10-dollar bills. We want to prove that we can make any amount greater than n+1 dollars as well.

To do this, we can consider two cases:

1. The amount we want to make includes at least one 10-dollar bill. In this case, we can subtract 10 dollars from the amount and use our induction hypothesis to make the remaining amount using only 3-dollar and 10-dollar bills. Then we add the 10-dollar bill back in, and we have made the original amount.

2. The amount we want to make does not include any 10-dollar bills. In this case, we can use our induction hypothesis to make the amount n-7 using only 3-dollar and 10-dollar bills (since 10 - 3 = 7). Then we add a 10-dollar bill and a 3-dollar bill to get n+3, and we can add another 3-dollar bill to get n+6. Finally, we add one more 3-dollar bill to get n+9, which is greater than n+1.

Therefore, we have shown that any amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills using proof by induction.

Visit here to learn more about proof by induction brainly.com/question/29525504
#SPJ11

It will take 33.33 years for the account to reach $5500

What is simple interest?

Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.

We know,

Victoria deposited  into a savings account $5000

Annual simple interest rate of 0.3%.

Formula of Simple Interest

                        A = P(1 + rt)

                       5500 = 5000(1 + 0.003t)

                       5500 = 5000 + 15t

                        15t = 500

                         \(t = \frac{500}{15} = 33.33\)

It will take 33.33 years for the account to reach $5500

To learn more about simple interest visit,

https://brainly.com/question/25793394

#SPJ13

Answer:

R200

Step-by-step explanation:

selling price of each earring

R200

The slots in the table are filled with the respective key values as mentioned below.

To solve the question, we need to apply the division method with open addressing and linear probing to map key values into a table of size N = 12, with a probe increment of k = 5 to handle collisions. The division method involves taking the remainder of the key divided by the table size N to determine the initial slot. If that slot is already occupied, we use linear probing by incrementing the slot index by k until an empty slot is found. Let's assume we have the following key values: 7, 15, 23, 34, 18, 9, 27, 12.

Using the division method, we calculate the initial slots as follows:

Key: 7

Initial Slot: 7 % 12 = 7 (available)

Key: 15

Initial Slot: 15 % 12 = 3 (occupied)

Linear Probing: 3 + 5 = 8 (available)

Key: 23

Initial Slot: 23 % 12 = 11 (available)

Key: 34

Initial Slot: 34 % 12 = 10 (available)

Key: 18

Initial Slot: 18 % 12 = 6 (available)

Key: 9

Initial Slot: 9 % 12 = 9 (occupied)

Linear Probing: 9 + 5 = 2 (available)

Key: 27

Initial Slot: 27 % 12 = 3 (occupied)

Linear Probing: 3 + 5 = 8 (occupied)

Linear Probing: 8 + 5 = 1 (occupied)

Linear Probing: 1 + 5 = 6 (occupied)

Linear Probing: 6 + 5 = 11 (occupied)

Linear Probing: 11 + 5 = 4 (available)

Key: 12

Initial Slot: 12 % 12 = 0 (available)

After mapping all the key values into the table using open addressing and linear probing with k = 5, the final slot configuration is as follows:

0: 12

1: 6

2: 9

3: 27

4: 34

6: 18

7: 7

8: 15

10: 23

11: 27 (collision)

11 + 5: 12 (resolved collision)

Therefore, the slots in the table are filled with the respective key values as mentioned above.

To learn more about linear probing, click here: brainly.com/question/30694795

#SPJ11

The scale of the diagram as described in the task content is; 1: 8 where k= 8.

It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.

Read more on scale of diagrams;

https://brainly.com/question/24255624

#SPJ1

Answer: Option B

Step-by-step explanation:

By definition, the ratio is a comparison between two different things. It can be written in:

Odd notation

\(a:b\)

Fractional notation

\(\frac{a}{b}\)

Or in words:

\(a\) \(to\) \(b\)

Given the ratio 3 to 4 and the ratio of 4 to 3, you can rewrite them the fractional form:

\(\frac{3}{4}\)

\(\frac{4}{3}\)

To know if these ratios are the same number, divide the numerator by the denominator of each one of them:

\(\frac{3}{4}=0.75\)

\(\frac{4}{3} =1.33\)

Therefore, the ratio of 3 to 4 and the ratio of 4 to 3 ARE NOT the same number.

Answer:

3 x 12 - 14/2 + 15

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

In this, the very first two things I see is multiplication and division.

3 and 12 are being multiplied, and -14 and 2 are being divided.

So let's solve for those two first;

3 x 12 - 14/2 + 15

(3 x 12) (-14/2) + 15

36 - 7 + 15

Now we add 15 and 36,

(36 + 15) - 7

51 - 7

= 44

The change in volume (dv) is equal to 1221.45 cm³ if the radius of the sphere changes from 18 cm to 18.3 cm.

The change in the volume of the sphere can be represented by the following formula;

dV = 4πr²(dr)

Here dV is the change in the volume, r represents the radius and dr represents the change in the radius of the sphere.

As the radius of this sphere changes from 18 cm to 18.3 cm, we first calculate the change in radius by subtraction;

change in radius = 18.3 - 18 = 0.3 cm

Now substituting the values in the equation;

dV = 4π(18²)(0.3)

dV = 4π(324)(0.3)

dV = 4π(97.2)

dV = 1221.45

Therefore, the change in the volume of the sphere is 1221.45 cm³

To learn more about change in volume, click here:

https://brainly.com/question/13128572

#SPJ4

Answer:

8/3 or 2 2/3

Step-by-step explanation:

Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

Read more about learning maths here:

https://brainly.com/question/30346704

#SPJ1

Answer:

24 ft

Step-by-step explanation:

so, we don't know anything else about the triangle ?

ok, let's see.

the area of a triangle is (a side length) × (the height from that side to the opposite corner) / 2

At = 24 = side × height / 2

48 = side × height = 10 × height

height = 48/10 = 4.8 = 24/5

let's say that the height on our known side splits this side into 2 parts, p and q (p+q = 10).

we can calculate the triangle side on the right hand side of our know side by calling it a and using Pythagoras :

a² = height² + q² = (4.8)² + q² = 23.04 + q²

as all sides have to be even integers, a² has to be an even square number larger than 23.04.

and because p+q = 10, we know q must be smaller than 10, and therefore q² smaller than 100.

the only candidates for a² are therefore 36 and 64 (6² and 8²).

in a similar way this applies to the left hand triangle side b tool.

b² = height² + p² = 23.04 + p²

with the same restrictions and possible solutions as a².

we have the possibilities that a = b = 6 or 8, or a = 6 and b = 8 (or vice versa).

let's rule out a=b :

a=b wound also mean p=q=5

then

a² = 23.04 + 5² = 23.04 + 25 = 48.04, which is not an even square integer. therefore, this assumption is wrong.

so, the only possible solution is a = 6 and b = 8 (or vice versa, but it did not matter which is which, as we only need the perimeter, which would be the same either way).

proof :

36 = 23.04 + 12.96 = 23.04 + q²

=> q = 3.6 ft

64 = 23.04 + 40.96 = 23.04 + p²

=> p = 6.4 ft

p+q = 3.6 + 6.4 = 10 ft

perfect, it fits, this is the correct solution

so, the perimeter of the triangle is

10 + 6 + 8 = 24 ft

The probability that the mean cholesterol value for the group will be between 145 and 165 is 0.9545 or 95.45%.

In exercise 5.2.4, we were given that the cholesterol levels of 12 to 14-year-old children in a population are normally distributed with a mean of 155 mg/dl and a standard deviation of 10 mg/dl.

(a) To find the probability that the mean cholesterol value for the group will be between 145 and 165, we need to calculate the z-scores for these values and find the area under the standard normal distribution curve between these z-scores.

The z-score for a sample mean can be calculated as:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

For x = 145, μ = 155, σ = 10, and n = 16, we have:

z = (145 - 155) / (10 / √16) = -2

For x = 165, μ = 155, σ = 10, and n = 16, we have:

z = (165 - 155) / (10 / √16) = 2

Using a standard normal distribution table or a calculator, the area under the curve between z = -2 and z = 2 is approximately 0.9545.

Learn more about probability at: brainly.com/question/32117953

#SPJ11

Answer:

12 :D

Step-by-step explanation:

First we substitute all x's for -2 :)

f(-2)=−-2^3−3(-2)^2+8

Now we solve :)

f(-2)=−-2^3−3(-2)^2+8

f(-2)=− -8 −3(-2)^2 + 8

f(-2) = -8 - 3(-4) + 8

f(-2) = - 8 + 12 + 8

f(-2) = 4 + 8

f(-2) = 12 :)

f will equal 12 :)

Have an amazing day!!

Please rate and mark brainliest!!

We need to find the probability that John waits less than 20 minutes for the train.

To find this probability, we need to calculate the area under the density curve from 0 to 20:

P(X < 20) = ∫[0,20] (1/30) dx

P(X < 20) = [x/30] from 0 to 20

P(X < 20) = 20/30 - 0/30

P(X < 20) = 2/3

Therefore, the probability that John waits less than 20 minutes for the train is 2/3 or approximately 0.67.

To know more about probability, visit the link given below:

https://brainly.com/question/30034780

#SPJ4