5. Suppose that we have 50 balls labeled 0 through 49 in a bucket. What is the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls

The probability that the chosen card is a diamond is 3/13. According to the definition of probability, which is "the degree to which something is probable; the likelihood of something happening or being the case," there is a 1/13 chance that none of the cards will be diamonds.

Probability is simply the likelihood that something will happen. The likelihood or likelihood of various outcomes can be discussed when we don't know how an event will turn out. The study of events that fit into a probability distribution is known as statistics. The full range of potential outcomes is known as the sample space, or individual space, of a random experiment. The likelihood of any event occurring ranges from 0 to 1. Probability is the study of random events in mathematics, and it can be classified into four main categories: axiomatic, classical, empirical, and subjective. You could say that probability is the likelihood that a particular event will occur because probability and possibility are synonyms.

Here,

a. Given that there are 13 diamond cards, the probability that all the cards are diamonds is 3/13.

b. the likelihood that none of the 52 cards, with 13 diamond cards, are diamonds.

unused card = 52-13 = 39 = 3/39

There is a 3/13 chance that the selected card will be a diamond. There is a 1/13 chance that no cards will be diamonds, according to the definition of probability, which is "the degree to which something is probable; the likelihood of something happening or being the case."

To know more about probability,

https://brainly.com/question/11234923?referrer=searchResults

#SPJ4

The triangles DEF are similar with D'E'F'

The bases of D'E'F' and DEF are 10 and 4 units respectively

Carl is correct, because when the sides of the triangle are compared , the ratio gives 5/2

what are you trying to ask?

To be complementary, the angles need to add to 90 degrees. But 55+45 = 100, so the angles are not complementary.

The angles are not adjacent either. Adjacent angles share a common line, line segment or ray. There cannot be a gap between the angles if you want adjacent angles. Think of adjacent rooms in a house in that they share the same wall.

a. AB = FG, AC = FH, BC = GH

b. Remember that FG is the same as AB. This means that their values are equivalent. Therefore, FG = 9.

c. HG is the same as CB. If CB is 12, then HG must also be 12.

d. To solve for x, we'll need to set up an equation. We can do this by taking one of our known pairs of congruent sides and setting them equal to each other.

AB = FG

AB = 9

FG = 2x + 1

9 = 2x + 1

2x = 8

x = 4

Hope this helps!

25463 grams radioactive kind of americium will be left after 2160 years.

We know that Half Life Formula will be,

\(N=I(\frac{1}{2})^{\frac{t}{T}}\)

where N is the quantity left after time 't'; 'T' is the half life of the substance and 'I' is the initial quantity of the substance.

Given that the initial quantity of the substance (I) = 814816 grams

Half life of the radioactive kind of americium is (T) = 432 years

The time elapsed (t) = 2160 years

Now we have to find the quantity left that is the value of N for the given values.

N = \(814816\times(\frac{1}{2})^{\frac{2160}{432}}=814816\times(\frac{1}{2})^5\) = 814816/32 = 25463 grams.

Hence 25463 grams radioactive kind of americium will be left after 2160 years.

To know about half life formula here

https://brainly.com/question/25750315

#SPJ1

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

However, I can provide you with a general understanding of the analysis and assumptions typically involved in evaluating the effectiveness of photo-red enforcement programs.

a. To analyze the data for the VDOT, you would typically perform a statistical hypothesis test to determine if there is a significant difference in the number of crashes caused by red light running before and after the installation of red light cameras. The null hypothesis (H0) would state that there is no difference, while the alternative hypothesis (Ha) would state that there is a significant difference. Using the data from the provided table, you would calculate the appropriate test statistic, such as the paired t-test or the Wilcoxon signed-rank test, depending on the assumptions and nature of the data. The p-value obtained from the test would then be compared to a significance level (e.g., 0.05) to determine if there is enough evidence to reject the null hypothesis.

b. To test if the differences between the before and after data are normally distributed, you can employ graphical methods, such as a histogram or a normal probability plot, to visually assess the distribution. Additionally, you can use statistical tests like the Shapiro-Wilk test or the Anderson-Darling test for normality. If the data deviate significantly from normality, non-parametric tests, such as the Wilcoxon signed-rank test, can be used instead.

Learn more about VDOThere: brainly.com/question/27121207

#SPJ11

In the two triangles FIH and GHI

IH is a common side

FI = GH

The angles are between the equal sides

Then the two triangles are congruent by SAS postulate

The answer is A

The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

Learn more about Z-score here: brainly.com/question/30557336

#SPJ11

Answer:

\( \longmapsto \: 3 \sqrt{2} - 2 \sqrt{6} .\)

Step-by-step explanation:

\(\sf{\dfrac{\sqrt{18}}{3 - \sqrt{12}}}\)

By Rationalizing the denominator:-

\( = \sf{\dfrac{\sqrt{18}}{3 - \sqrt{12}} \times \dfrac{3 + \sqrt{12}}{3 + \sqrt{12}}}\)

\( = \sf{\dfrac{\sqrt{18}(3 + \sqrt{12})}{(3)^2 - (\sqrt{12})^2}}\)

\( = \sf{\dfrac{\sqrt{18}(3 + \sqrt{12})}{9 - 12}}\)

\( = \sf{\dfrac{\sqrt{18}(3 + \sqrt{12})}{-3}}\)

\( = \sf{\dfrac{3\sqrt{2}(3 + \sqrt{12})}{-3}}\)

\( = \sf{\dfrac{\not{3\sqrt{2}}(3 + \sqrt{12})}{\not{-3}}}\)

\( = \sf{-\sqrt{2}(3 + 2\sqrt{3})}\)

\( = \sf{-3\sqrt{2} - 2\sqrt{6}}\)

\( \therefore \sf{\dfrac{\sqrt{18}}{3 - \sqrt{12}} = -3\sqrt{2} - 2\sqrt{6}}\)

Answer:

The factor of : 10x+15 is

Step-by-step explanation:

10x+15

5(2x+3)

The expression evaluates to 14x + 22.

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

3/4(24x + 28) - (4x - 1)

We can start by simplifying the expression inside the parentheses:

3/4(24x + 28) - (4x - 1)

Remove the brackets

18x + 21 - 4x + 1

Evaluate the like terms

14x + 22

So, the value of the expression evaluates to 14x + 22.

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer: 102.4

Given ratio 5:8

Let's assume the answer to be x

5÷8 should be equal to 64÷x

∴ x= (64×8) ÷ 5

=102.4

The number that has the same ratio to 64 as 5:8 is gotten as; 40

How to Calculate Ratio?

We have the ratio 5:8.

Now, we want to find the number that has the same ratio to 64 as 5:8. Thus, we will use proportion to get this;

x/64 = 5/8

Cross multiply to get;

x = 64 * 5/8

x = 40

In a nonprobability sampling, not all members of a population have an equal probability of being included.

In a probability sampling, all members of the population have an equal probability of being included.

The strength of the association is described by the effect size.

Curvilinear association is one in which the correlation coefficient is zero (or close to zero) and the relationship between two variables isn't a straight line. False.

In nonprobability sampling, the selection of individuals from the population is not based on random sampling principles. This means that not all members of the population have an equal probability of being included in the sample.

In probability sampling, every member of the population has an equal and known chance of being selected for the sample. Random sampling methods, such as simple random sampling, stratified random sampling, and cluster sampling, are commonly used to achieve this. In probability sampling, the sample is representative of the population, and statistical inferences can be made.

The strength of the association between two variables is typically measured by the effect size. Effect size quantifies the magnitude or magnitude of the relationship between variables and provides an indication of the practical or substantive significance of the association.

Curvilinear association refers to a relationship between two variables that cannot be adequately described by a straight line. In such cases, the correlation coefficient between the variables may be zero or close to zero, indicating no linear relationship.

Nonprobability sampling involves selecting individuals without an equal probability of inclusion, while probability sampling ensures that all members of the population have an equal chance of being included. The strength of the association between variables is described by the effect size, and a curvilinear association indicates a non-straight line relationship between variables.

To know more about probability, visit;
https://brainly.com/question/23417919
#SPJ11

Answer:

Standard Deviation

Step-by-step explanation:

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Explanation:

The solution to the system is where the two lines cross. In this case, it is at the location (-2, 2). The x coordinate of this point is x = -2.

The measure of angles ADC is 30⁰.

The measure of angles DCA is 120⁰.

The measure of angles DCB is 180⁰.

The measure of angles AEB is 30⁰.

The measure of each of the angles is calculated as follows;

if length AB = length CD, then AC = AB

Also triangle ACB = equilateral triangle, and each angle = 60⁰.

Angle DAB = 90 (since line DB is the diameter)

Angle DAC = angle ADC

DAC = 90 - 60 = 30 = ADC

DCA = 180 - (30 + 30) (sum of angles in a triangle)

DCA = 120⁰.

The value of angle DCB is calculated as follows;

DCB = 180 (sum of angles on straight line)

angle AEB = angle ADC (vertical opposite angles )

angle AEB = 30⁰

Learn more about angles in a triangle here: https://brainly.com/question/25215131

#SPJ1

The solution is, 5.4 × 10⁻³ is the number in scientific notation.

Given:

The signal from a certain satellite takes approximately 0.0054 seconds to reach earth.

we will write the number in a scientific notation

The scientific notation is the number that is between 1 and 9 multiplied by 10 raised to an exponent

So, the given number will be:

0.0054

=54/10000

=54/10 * 1/1000

=5.4 × 10⁻³

Hence, The solution is, 5.4 × 10⁻³ is the number in scientific notation.

To learn more on number click:

brainly.com/question/17429689

#SPJ1

The slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

In mathematics, slοpe refers tο the measure οf the steepness οf a line. It is defined as the ratiο οf the vertical change (rise) between twο pοints.

Tο find the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4), we can use the slοpe fοrmula:

slοpe = (change in y) / (change in x)

Let's call the first pοint (-2,-4) "pοint 1" and the secοnd pοint (3,-4) "pοint 2". Then, we have:

change in y = y2 - y1 = (-4) - (-4) =

change in x = x2 - x1 = 3 - (-2) = 5

Substituting these values intο the slοpe fοrmula, we get:

slοpe = (change in y) / (change in x) = 0 / 5 = 0

Hence, the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

To learn more about Slope, Visit

https://brainly.com/question/16949303

#SPJ1

None of the given answer options match this result, so there may be an error in the question or answer choices.

To find the height of the top of the billboard from the road, we can use trigonometry. Let's draw a right triangle where the height of the billboard is the opposite side, the distance from the billboard to the car is the adjacent side, and the angle of elevation is 30 degrees (60 degrees divided by 2 since the car is at eye level).

Using the tangent function, we have:

tan(30) = height of billboard / distance from billboard

Solving for the height of the billboard:

height of billboard = distance from billboard * tan(30)

Substituting the given values:

height of billboard = 15 feet * tan(30)

height of billboard = 15 feet * 0.5774

height of billboard = 8.66 feet

However, this is only the height of the billboard from the bottom. We need to add the height of the eye level (4 feet) to get the total height of the top of the billboard from the road:

total height of billboard = height of billboard + height of eye level

total height of billboard = 8.66 feet + 4 feet

total height of billboard = 12.66 feet

Therefore, the height of the top of the billboard from the road must be approximately 12.66 feet. None of the given answer options match this result, so there may be an error in the question or answer choices.

Learn more about :

tangent function : brainly.com/question/30910929

#SPJ11

Answer:

21

Plz mark me brainliest

Step-by-step explanation:

Answer:21 students were on each bus.

Step-by-step explanation:

215-5=210

210/10=21 the number of students divided by the number of buses

As a leader, Jui-En tbelieve that he should change his behaviors to match the circumstances because no style works all the time. Jui-En is applying the socialized approach to leadership.

Employee motivation can be boosted by socialization, affirming reward, lead their vision, offer impressive benefits and encourage the temwork.

Employees who socialize who can sosialized in the workplace can increase their work efficiency because its reduce the work pressure by sharing information and teamwork which is important to thriving a company.

So, the correct answer is sosialized.

Learn more about work behaviours at https://brainly.com/question/3687780

#SPJ4

Answer:

(-3,0)

Step-by-step explanation:

So first we wanna find how for the x value is on point a to point b and how far the y value is from point a to point b. the x on point a is 9 units away from point b and y is 18 units away. Then we find out what 2/3s of 9 and 18 is which would be 6 and 12. So then we take the A coordinates (9,-6) and subtract 12 from the x value and 6 from the y value to get the new coordinates of (-3,0)

Answer:

2

x=40

Step-by-step explanation:

A triangle has 180 degrees and considering that triangle ABC is similar to DEF that means they have the same angle (A=D,B=E,C=F)

180=104 +36+x

180=140+x

180-140=x

40=×

The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

for such more question on equidistant

https://brainly.com/question/15683939

#SPJ11

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 8, 4) and (x₂, y₂ ) = (- 1, - 10) ← 2 points on the green line

m = \(\frac{-10-4}{-1+8}\) = \(\frac{-14}{7}\) = - 2

Repeat with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 6) ← 2 points on the blue line

m = \(\frac{-6-0}{0+3}\) = \(\frac{-6}{3}\) = - 2

Since the slopes are equal then the lines are parallel