Zapisz w postaci ułamka dziesiętnego: A)224/10=....... B)5315/10=...... C)3783/100=...... D)34502/1000...... Proszę o szybką odpowiedź Daje naj i 20 punktów

The probability of hitting the white portion is approximately 0.214, which is closer to 1 than 0.

Part A: The probability of hitting the black circle inside the target is closer to 0. This is because the area of the black circle is smaller than that of the entire target, which makes it harder to hit.

To calculate the probability of hitting the black circle, we need to first find its area. Since the diameter of the circle is 3, the radius is 1.5.

The area of the circle is given by the formula πr², where π is approximately equal to 3.14. So, the area of the circle is:
π(1.5)² ≈ 7.07

To find the probability of hitting the black circle, we need to divide the area of the circle by the area of the entire target. Since the square-shaped target has an area of 9, we have:
7.07/9 ≈ 0.785
So, the probability of hitting the black circle is approximately 0.785, which is closer to 0 than 1.

Part B: The probability of hitting the white portion of the target is closer to 1. This is because the white portion covers most of the target, leaving only a small area uncovered.

To calculate the probability of hitting the white portion, we need to subtract the area of the black circle from the area of the entire target.

We have already calculated the area of the black circle to be approximately 7.07.

To find the area of the white portion, we subtract the area of the black circle from the area of the square:
9 - 7.07 ≈ 1.93
To find the probability of hitting the white portion, we need to divide its area by the area of the entire target. We have:
1.93/9 ≈ 0.214
So, the probability of hitting the white portion is approximately 0.214, which is closer to 1 than 0.

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The function value of given function at x = 3 is 63.

The given function is,

                   \(f(x)=x^{3} +6x^{2} -2x-12\)

We have to calculate function value when \(x=3\).

              \(f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63\)

Thus, the function value of given function at x = 3 is 63.

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Answer:

Step-by-step explanation:

To find a function's inverse, you first switch the x and y coordinates, and then solve for the new y. The same goes for finding an inverse's function. We have:

\(y=\frac{x+4}{11}\) We will switch the x and y variables and then solve for the new y:

\(x=\frac{y+4}{11}\) and

11x = y + 4 so

11x - 4 = y and

11x - 4 = f(x) which is choice C.

It will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.

Given:Ashley and Rod cleaned the house in 4 hours. Rod can clean the house alone in 2 hours.To find:How long will it take for Ashley to clean the house alone?Solution:Let's suppose the time Ashley takes to clean the house alone is x hours.Then, Ashley and Rod can clean the house in 4 hours.Thus, using the concept of work, we have:\begin{aligned} \text { Work done by Ashley in 1 hour } + \text { Work done by Rod in 1 hour } &= \text { Work done by Ashley and Rod in 1 hour } \\ \Rightarrow \frac {1}{x} + \frac {1}{2} &= \frac {1}{4} \\ \Rightarrow \frac {2 + x}{2x} &= \frac {1}{4} \\ \Rightarrow 8 + 4x &= 2x \\ \Rightarrow 2x - 4x &= -8 \\ \Rightarrow x &= 4 \end{aligned}Therefore, it will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.

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When two finite populations are connected by migration , then (b) Fst decreases to 0 .

The Fixation Index denoted as Fst ,  is a measure of population differentiation, which is used to quantify the level of genetic differentiation between two populations.

The Fst ranges from 0 to 1, where 0 indicates complete gene flow between two populations and 1 indicates complete genetic isolation.

If the migration rate is 2% per organism per generation, over time this will lead to a reduction in genetic differentiation between the populations, and the Fst value will decrease towards 0.

This is because the exchange of genetic material will reduce the amount of variation that is unique to each population, which leads to an increase in the genetic similarities between the populations.

The given question is incomplete , the complete question is

What happens to Fst when two finite populations are connected by migration (say 2% chance of migration per organism per generation, and no selection) ?

(a) Fst increases to 1

(b) Fst decreases to 0

(c) Fst stays moderate, near 0.5

(d) Fst wanders around randomly between 0 and 1 forever  .

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Answer:

ur answer would be B, because you do 45-15 x 4

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

The value of the test statistic is -1.5.

Test statistic:

A test statistic is a statistic used in statistical hypothesis testing. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data set that reduces the data to one value that can be used to perform the hypothesis test.

The formula for test statistic:

Test statistic = z = \(\frac{P - P_{0} }{\sqrt{\frac{P_{0( 1 -P_{0} } }{n} } }\)

A sample of patients n = 150

Patients insured =x = 75

P = x/n

  = 75/ 150

  = 1/2

  = 0.5

\(P_{0}\) = 56/100

    = 0.56

Putting the values we get:

z = \(\frac{0.5 - 0.56}{\sqrt{\frac{0.56( 1- 0.56)}{150} } }\)

  = \(\frac{-0.06}{\sqrt{0.00164} }\)

  =   \(\frac{-0.06}{0.04}\)

  = - 1.5

Therefore the test statistic is -1.5.

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Answer:

Where is the question????????

Friend

What's your question, my friend?

The amount of saving in pounds is £7.00 and in percentage is 29.167%

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Cost of 500mm×500mm×0.7mm = £6.00

No. of sheets that can be cut will be = \(\frac{1000 * 1000 * 0.7}{500 *500 *0.7}\)

                                                             = 4 sheets

Cost of 1 sheet of 1000mm x 1,000 mm x 0.7 mm = £17.00

Cost of 4 sheets of 500 mm x 500 mm x 0.7 mm = £6.00 × £4.00

                                                                                 = £ 24.00

Hence saving = £ 24.00 - £17.00

                       = £ 7.00

Hence percentage of savings = 7/24 × 100

                                                  = 175/6

                                                  = 29.167%

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Answer:Pr(4.19 ≤ X ≤ 4.81)

Step-by-step explanation:

First of all, let's calculate the mean;

x¯ = (4.3 + 5.1 + 3.9 + 4.5 + 4.4 + 4.9 + 5.0 + 4.7 + 4.1 + 4.6 + 4.4 + 4.3 + 4.8 + 4.4 + 4.2 + 4.5 + 4.4)/17

x¯ = 76.5/17

x¯ = 4.5

We are given standard deviation; s = 0.31

Now, z-value for a 68% Confidence interval is 1

Range in which the data falls is;

Range = x¯ ± zs

Range = 4.5 ± (1 × 0.31)

Range is;

Pr[(4.5 - 0.31) ≤ X ≤ (4.5 + 0.31)]

Pr(4.19 ≤ X ≤ 4.81)

Answer:29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

-3（3+x) + 4(x-6) = -4

-9 - 3x + 4x - 24 = -4

-3x + 4x -9 -24 = -4

1x -33 = -4

x = 29

Checking if the answer is right or not

-3(3 + 29) + 4(29 - 6) = -4

-9 - 87 + 116 -24 = -4

-96 + 92 = -4

-4 = -4

The Surface Area of the solid is 399.6 sq. m.

From the figure,

Given the side of composite solid

To find the Surface Area of the solid.

Let's Know,

How do you find surface area?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Now, According to the question:

Using Mathematical Knowledge find the surface area .

To see the figure,

Surface Area = (8 x 7 x 3 )/2 + 8 x 12 x 3 +( 8 x 6.9 ) / 2

Surface Area = 84 + 288 + 27.6

Surface Area = 399.6 sq. m.

Hence, The Surface Area of the solid is 399.6 sq. m.

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Probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.

What is Probability ?

What is the probability of each value of a discrete random variable?

The probability P(x) that a discrete random variable X will take the value x in one trial of the experiment is connected to each possible value x of the variable.

Which is a discrete random variable?

What is the other name of mean of discrete random variable?

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- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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Answer:

Main Answer: The set of all pairs of real numbers of the form (x, y), where x > 0, equipped with the standard operations on R², is a vector space.

Short Question: Is the set of all pairs of positive real numbers a vector space with standard operations?

In this case, the set of all pairs of real numbers of the form (x, y), where x > 0, is indeed a vector space when equipped with the standard operations of addition and scalar multiplication. This means that it satisfies all the axioms of a vector space.

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The red one is \(x +2y = 6\) and the blue one is \(2x -y = 4\)

The black points are the y-intercepts and and purple ones are the x-intercepts.

The variable X has a binomial distribution in the following distributions:

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), depending on the outcome's boolean value.

In a binomial distribution, we have a fixed number of independent trials (in this case, the number of patients), and each trial has only two possible outcomes (success or failure). The probability of success remains the same for each trial (in this case, the probability of the medicine working is 30%).

Option B does not represent a binomial distribution since it counts the number of patients for whom the medicine does not work, which is the complement of success. Option D is not a binomial distribution as it counts the number of doses each patient needs to take, which is not a success/failure outcome.

So, the correct answers are:

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

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Answer: y= |x-1|+3

Step-by-step explanation:

again lol used desmos graphing it’s 3 high so that +3 at the end and -1 to bring it to the side i’m bad at explaining

The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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Answer: the 3rd one

Step-by-step explanation:

Answer:

255,000

Step-by-step explanation:

if we look there is already 254,000 so now we look at the hundreds place.

In the hundreds place there is 920 witch is closer to 1,000

so 254,000 plus 1,000 is 255,000

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Answer:78

Step-by-step explanation:

Answer:

d or b

Step-by-step explanation:

look at where the c and a are and the numbers alighn