Roman civilization began in 509 BC and ended in 476 A.D Roman civilization last show working​

9514 1404 393

Answer:

  f(x) = 6x +1

Step-by-step explanation:

Differences in x-values (first row) are 1, 1, 1.

Differences in y-values (second row) are 6, 6, 6.

The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.

Using the first point in the form ...

  y = mx + b

we have ...

  y = 6x + b

  7 = 6·1 + b . . . . (x, y) = (1, 7)

  1 = b . . . . . . subtract 6

Then the equation can be written ...

  y = 6x +1

In functional form, this is ...

  f(x) = 6x +1

The joint probabilities are: P(A and B) = 0.36, P(A and C) = 0.1, P(AC and B) = 0.07.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 cannot occur, and an event with probability 1 is certain to occur. The probability of an event A is usually written as P(A) and is calculated as the number of favorable outcomes divided by the total number of possible outcomes in the sample space. For example, if a fair six-sided die is rolled, the sample space is the set of all possible outcomes (1, 2, 3, 4, 5, 6), and the probability of rolling a 4 is 1/6. Probability is used in many fields to make predictions, draw inferences, and make decisions under uncertainty.

We can use the formula for conditional probability to calculate the joint probabilities:

P(A and B) = P(B | A) * P(A) = .4 * .9 = .36

P(A and C) = P(A) * P(C | A) = .9 * P(C) / P(A) = .9 * .1 / .9 = .1

P(AC and B) = P(B | AC) * P(AC) = .7 * .1 = .07

So, the joint probabilities are:

P(A and B) = .36

P(A and C) = .1

P(AC and B) = .07

To know more about outcomes visit:

https://brainly.com/question/19916581

#SPJ4

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

Visit to know more about Probability:-

brainly.com/question/13604758

#SPJ11

The coordinate of the point reflection across the x-axis will be (3, -6). Then the correct option is A.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The reflection does not change the shape and size of the geometry. But flipped the image.

The quadrilateral ABCD is shown. The coordinate of point B is (3, 6).

If the quadrilateral ABCD is reflected across the x-axis. Then the coordinates of B' will be given as,

B' = (3, -6)

The coordinate of the point reflection across the x-axis will be (3, -6). Then the correct option is A.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ1

Answer:

$14.10

Step-by-step explanation:

Answer:

$14.10

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

I hope this helps!

Answer:

26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use distributive property,

a*(b - c) =a*b - a*c

6(4x  - 8) = 6*4x - 8*6

               = 24x - 48

Answer:

2 3/5

Step-by-step explanation:

Simply change the 1st fraction into improper form:

17/5 - 4/5

Then subtract

13/5

Then write into mixed fraction

2 3/5

Answer:

13/5 or 2 3/5

Step-by-step explanation:

The probability of choosing a queen and then, without replacement, a face card is 0.0165.

To find what is the probability of choosing a queen and then, without replacement, a face card:

So the probability of drawing one then the second would be:

Therefore, the probability of choosing a queen and then, without replacement, a face card is 0.0165.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ4

Answer:

11:27 am.

Step-by-step explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.

Answer:

244=t+295

Step-by-step explanation:

The probability of exactly 4 out of 6 randomly selected adult smartphone users using their smartphones in meetings or classes can be calculated.

To solve this problem, we can use the binomial probability formula. The formula for the probability of getting exactly k successes in n trials, given a probability p of success in each trial, is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^{n - k}\)

In this case, we have n = 6 (6 adult smartphone users), k = 4 (exactly 4 of them using smartphones in meetings or classes), and p = 0.47 (the probability of an adult smartphone user using their smartphone in meetings or classes).

Now we can plug these values into the formula:

\(P(X = 4) = (6 choose 4) * 0.47^4 * (1 - 0.47)^{6 - 4}\)

Calculating this expression gives us the probability that exactly 4 out of 6 adult smartphone users use their smartphones in meetings or classes.

P(X = 4) ≈ 0.2452

Therefore, the probability that exactly 4 out of 6 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.2452.

To learn more about probability visit:

brainly.com/question/32117953

#SPJ11

Answer:

4-20(6x-5x)^2+11

(6-5x)^2=11+(-16)

6^2-10x+25=-5

6^2-10x+20

Answer: i think it’s 40

Step-by-step explanation: triangle has to be 180° according to the internet and 77 plus 63 is 140 plus 40 would be 180

Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

Answer: The population would be the data of temperatures of all food served by the restaurant.

Step-by-step explanation:

In a statistical study, the term population refers to the largest group of all individuals related to the study or the objective of the study.

Here, the objective of the study= To check the temperatures of food just before serving.

Population = Data of temperatures of all dishes served by restaurant.

Hence, the population would be the data of temperatures of all dishes served by the restaurant.

The number of times that the actual flag is wider than Reagan's model would be = 3 times.

Rectangle: What is it?

A rectangle is a particular kind of quadrilateral with opposite sides that are parallel and equal to one another and four right angles, according to the definition.

The rectangular flag measures 39 inches in length in actuality.

Reagan's model measured 13 inches in length.

The formula: = Length of actual flag / Length of model = 39/13 = 3 will tell you how many times broader the model is than the real flag.

The real flag is three times wider than Ronald Reagan's model, for a total of four times.

Learn more about rectangles here:

brainly.com/question/28497588

#SPJ4

Answer:

distance between two cities will be 9 000 000 km

Answer:

Step-by-step explanation:Scale of a map is 1:3000000 i.e, 1cm on map =30km so distance of towns on map =3.5cm Actual distance = 3.5×30=105km

At least three functions can be called, including checkweather. The other two functions can be any other functions that the program contains.

The maximum number of functions that can be called when calling the checkweather function depends on the program. If the program contains other functions, then up to three functions can be called, including the checkweather function. When calling the checkweather function, the first function that will be called is the checkweather function itself. After the checkweather function is called, the program will then proceed to call any other functions that have been determined by the program. This means that the maximum number of functions that can be called is at least two, with the checkweather function being one of them.In addition, if the program contains additional functions, then the maximum number of functions that can be called increases to three. For example, if the program contains functions to display the weather forecast, to check the temperature and to generate an alert, then these functions can also be called in addition to the checkweather function. In this case, the maximum number of functions that can be called is three, with the checkweather function still being one of them.

Learn more about functions here

https://brainly.com/question/29633660

#SPJ4

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

For such more question on interest

https://brainly.com/question/25720319

#SPJ8

Answer:

The

Step-by-step explanation:

CYahmam fed

Answer:

c. d=25

Step-by-step explanation:

Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.

Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.

They also intersect above the x-axis so our y-coordinate must be positive.

So the only option with a negative x-coordinate

and a positive y-coordinate is (-1/4, 3/4).

Answer:

$2193.75

Step-by-step explanation:

9 times 13

times 18.75

Robbie Knievel, a daredevil stuntman, passed away on Friday morning, 13 january 2023 at the age of 60.

He was battling pancreatic cancer, which, according to the American Cancer Society, accounts for around 3% of all cancers but about 7% of all cancer fatalities in the U.S. He was in a hospice in Reno, Nevada. Because the pancreas is hidden deep inside your abdomen, where it cannot be seen in selfies, the diagnosis of pancreatic cancer is frequently delayed. Therefore, the tragic news of Knievel's departure presents a chance to spread greater awareness of this terrible sickness, which will likely claim the lives of over 50,000 individuals once more in 2023.

know more about cancer here

https://brainly.com/question/14945792#

#SPJ4

Step-by-step explanation:

since we have the slope and a point, let's start with the point-slope form first, and then we transform it into the slope-intercept form.

the general slope-intercept form is

y = ax + b

"a" being the slope and b the y-intercept (the y-value when x = 0).

the general point-slope form is

y - y1 = a(x - x1)

"a" is again the slope, (x1, y1) is a point on the line.

so, in our case

y - -16 = -2(x - 6)

y + 16 = -2x + 12

y = -2x - 4

that's it.

Answer:

x = 10, y = 7.5

Step-by-step explanation:

Given the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{AE}{AC}\) = \(\frac{DE}{BC}\), substitute values

\(\frac{x}{4}\) = \(\frac{12.5}{5}\) ( cross- multiply )

5x = 50 ( divide both sides by 5 )

x = 10

and

\(\frac{AD}{AB}\) = \(\frac{DE}{BC}\) , that is

\(\frac{y}{3}\) = \(\frac{12.5}{5}\) ( cross- multiply )

5y = 37.5 ( divide both sides by 5 )

y = 7.5

The predicted value for the top speed of an aircraft if its weight is 100 tons = 359.4679 mph.

There is convincing evidence of a relationship between weight and top speed, assuming the conditions for inference have been met

We are 95% confident that the true slope of the regression line is between 2.871 and 4.085.

Part A)

Independent variable: X: Weight

Response variable: Y: Top speed of an aircraft.

Slope = b = 3.47812

Y-intercept = a = 11.6559

LSRL based on analysis is,

\(\hat{Top\ speed}=11.6559+3.47812\ Weight\)

Part B):

Here, p≤ 0.0001 indicates that there linear relationship between two variables. Therefore, we can use LSRL to predict top speed.

Given: Weight = x = 100 tons.

Therefore,

\(\hat{Top\ speed}=11.6559+3.47812*100\)

\(\hat{Top\ speed}=359.4679\ mph\)

Hence, the predicted value for the top speed of an aircraft if its weight is 100 tons = 359.4679 mph.

Part B:

Conditions for inference:

Linearity: The relationship between weight and top speed is linear.

Independence: The aircrafts' weights and top speeds are independent observations.

Normality: The residuals have a normal distribution.

Equal variance: The residuals have constant variance.

Part C:

To calculate the 95% confidence interval for the slope, we use the formula: slope ± t_critical * s.e. of Coeff.

With 20 degrees of freedom, the t_critical value is approximately 2.086. So, the 95% CI for the slope is: 3.47812 ± (2.086 * 0.294) = (2.871, 4.085).

This means we are 95% confident that the true slope of the regression line is between 2.871 and 4.085.

Read more about

#SPJ1

Answer:

x = 23

Step-by-step explanation:

180 - 42 = 138

138/6 = 23

x = 23

When f(x) = 4, then, the value of x = 2 (domain = 2, range = 4).

According to the mapping above, the given relationship is bijective (one-to-one and onto or one-to-one correspondence) because each element of the range is mapped to by exactly one element of the domain.

When we say a relationship is bijective, it means the satisfies both the injective (one-to-one function) and surjective function (onto function) properties. Therefore, as a result, f(x)=4 implies f(2)=4 or simply x=2.

Read more about value of x

brainly.com/question/27944341

#SPJ1