Many variants of poker are played with both cards in players’ hands and shared community cards. Players’ hand are some combination of the two sets of cards. For parts (a) and (b), consider playing such that Anna, Brad, Charlie, and Dre each have 2 cards for themselves, and build a 5 card hand out of those 2 cards and 3 shared cards. Assume a standard 52-card deck is being used.

What is the probability that Anna has a flush, where her 2 cards and the 3 community cards share a suit?

Answer:

Distribute the  

1

4

 to the quantity to get:

✔ x – 6 + x = 14

Combine the like terms to get:

✔ 2x – 6 = 14

Add 6 to both sides to get:

✔ 2x = 20

x =

✔ 10

Step-by-step explanation:

i got is right so i hope it helps :)

The required solution is [tex]x=10[/tex].

Important equation:

We need to find the value of [tex]x[/tex].

The given linear equation can be written as:

[tex]\dfrac{1}{4}(4x)-\dfrac{1}{4}(24)+x=14[/tex]

[tex]x-6+x=14[/tex]

[tex]2x=14+6[/tex]

[tex]2x=20[/tex]

Divide both sides by 2.

[tex]x=\dfrac{20}{2}[/tex]

[tex]x=10[/tex]

Thus, the required solution is [tex]x=10[/tex].

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Answer:

a) 50.41% probability that neither will need repair.

b) 8.41% probability that both will need repair.

c) 49.59% probability that at least one car will need repair.

Step-by-step explanation:

For each car, there are only two possible outcomes. Either it will need repairs, or it will not need repairs. The probability of a car needing repairs is independent of other cars. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

17​% of cars will need to be repaired​ once, 10​% will need repairs​ twice, and 2​% will require three or more repairs.

This means that [tex]p = 0.17+0.1+0.02 = 0.29[/tex]

Two cars:

This means that [tex]n = 2[/tex]

a) neither will need​ repair?

This is P(X = 0).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.29)^{0}.(0.71)^{2} = 0.5041[/tex]

50.41% probability that neither will need repair.

​b) both will need​ repair? ​

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.29)^{2}.(0.71)^{0} = 0.0841[/tex]

8.41% probability that both will need repair.

c) at least one car will need​ repair?

Either none will need repair, or at least one will. The sum of these probabilities is 100%.

From a)

50.41% probability that neither will need repair.

p = 100 - 50.41 = 49.59%

49.59% probability that at least one car will need repair.

las otras dos hijas obtendrán 3750 pesos y 2000 pesos.

Cuando dos números son divisibles se pueden escribir en la forma p:q, cuando dos razones son iguales se dice que son proporcionales.

El padre da dinero a las hijas en la proporción de su edad.

La hija mayor, que tiene 20 años, da 5.000 pesos.

La relación es 5000: 20 = 250:1

la edad de las otras hijas es 15 y 8

Que la hija de 15 años se lleve x pesos

y la hija de 8 años recibe y pesos

por lo que se forma la relación x: 15 y x: 8 que es igual a 250: 1

Comparando las dos proporciones

x/15 = 250/1

X = 15*250

x = 3750 pesos

x/8 = 250/1

x = 2000 pesos

Por lo tanto, las otras dos hijas obtendrán 3750 pesos y 2000 pesos.

Para saber más sobre razones y proporciones

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Answer:

523.333333333

Step-by-step explanation:

Using the formula 4/3πr³:

(4/3)(3.14)(5^3)

Hope this helps :)

Answer:

740°

Step-by-step explanation:

2 *360° + 20° = 720° + 20° = 740°

Answer:

Your answer is B

Step-by-step explanation:

i just did the test

Answer:$7.50

Step-by-step explanation:

1 meter = 1,000 millimeter

We can solve this by making two proportion or millimeter over meter:  [tex]\frac{millimeter}{meter}[/tex]

[tex]\frac{19.5 mm}{x meter} = \frac{1,000 mm}{1 m}[/tex]

Now you must solve for the unknown meter under the first proportion:

(1,000)(x meter) = 19.5 * 1

1,000(x meter) = 19.5

x meter = 0.0195 m

19.5 mm = 0.0195 m

Hope this helped! Let me know if you have any further questions

~ Just a girl in love with Shawn Mendes

Answer:

[tex]z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795[/tex]  

[tex]p_v =2*P(Z>2.795)= 0.005[/tex]  

So if we compare the p value and using any significance level for example [tex]\alpha=0.05[/tex] we see that [tex]p_v<\alpha[/tex] so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.  

Step-by-step explanation:

Data given and notation  

[tex]X_{1}=74[/tex] represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

[tex]X_{2}=70[/tex] represent the number of people suburban residents are in favor

[tex]n_{1}=100[/tex] sample 1 selected

[tex]n_{2}=125[/tex] sample 2 selected

[tex]p_{1}=\frac{74}{100}=0.74[/tex] represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

[tex]p_{2}=\frac{70}{125}=0.56[/tex] represent the proportion of suburban residents are in favor

z would represent the statistic (variable of interest)  

[tex]p_v[/tex] represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportions are different, the system of hypothesis would be:  

Null hypothesis:[tex]p_{1} = p_{2}[/tex]  

Alternative hypothesis:[tex]p_{1} \neq p_{2}[/tex]  

We need to apply a z test to compare proportions, and the statistic is given by:  

[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{74+70}{100+125}=0.64[/tex]

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

[tex]z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795[/tex]  

Statistical decision

The significance level provided is [tex]\alpha=0.05[/tex] ,and we can calculate the p value for this test.  

Since is a two tailed test the p value would be:  

[tex]p_v =2*P(Z>2.795)= 0.005[/tex]  

So if we compare the p value and using any significance level for example [tex]\alpha=0.05[/tex] we see that [tex]p_v<\alpha[/tex] so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.  

Answer:

(a) The confidence level desired by the researchers is 95%.

(b) The sampling error is 0.001 microcurie per millilitre.

(c) The sample size necessary to obtain the desired estimate is 36.

Step-by-step explanation:

The mean and standard deviation of the amount of the radioactive​ element, cesium-137 present in a sample of n = 16 lichen specimen are:

[tex]\bar x=0.009\\s=0.003[/tex]

Now it is provided that the researchers want to increase the sample size in order to estimate the mean μ to within 0.001 microcurie per millilitre of its true​ value, using a​ 95% confidence interval.

The (1 - α)% confidence interval for population mean (μ) is:

[tex]CI=\bar x \pm z_{\alpha/2}\times \frac{s}{\sqrt{n}}[/tex]

(a)

The confidence level is the probability that a particular value of the parameter under study falls within a specific interval of values.

In this case the researches wants to estimate the mean using the 95% confidence interval.

Thus, the confidence level desired by the researchers is 95%.

(b)

In case of statistical analysis, during the computation of a certain statistic, to estimate the value of the parameter under study, certain error occurs which are known as the sampling error.

In case of the estimate of parameter using a confidence interval the sampling error is known as the margin of error.

In this case the margin of error is 0.001 microcurie per millilitre.

(c)

The margin of error is computed using the formula:

[tex]MOE=z_{\alpha/2}\times \frac{s}{\sqrt{n}}[/tex]

The critical value of z for 95% confidence level is:

[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]

*Use a z-table.

Compute the sample size value as follows:

[tex]MOE=z_{\alpha/2}\times \frac{s}{\sqrt{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\times s}{MOE}]^{2}[/tex]

          [tex]=[\frac{1.96\times 0.003}{0.001}]^{2}[/tex]

          [tex]=34.5744\\\approx36[/tex]

Thus, the sample size necessary to obtain the desired estimate is 36.

The sample size necessary to estimate the mean within the desired sampling error can be calculated using the formula: n = (z * σ / E)^2, where n is the sample size, z is the z-score corresponding to the desired confidence level, σ is the standard deviation, and E is the desired sampling error. In this case, the sample size is approximately 11,447.

To determine the sample size necessary to estimate the mean within the desired sampling error, we can use the formula:

n = (z * σ / E)^2

Where n is the sample size, z is the z-score corresponding to the desired confidence level (in this case, 1.96 for a 95% confidence level), σ is the standard deviation, and E is the desired sampling error.

Plugging in the values, we get:

n = (1.96 * 0.003 / 0.001)^2

Simplifying, we find that n is approximately 11,447. Therefore, the sample size necessary to obtain the desired estimate is 11,447 (rounded to the nearest whole number).

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Answer:

The length of the rectangle is

12

c

m

and the area of the rectangle is

60

c

m

2

.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

a

2

+

b

2

=

c

2

5

2

+

b

2

=

13

2

25

+

b

2

=

169

25

−

25

+

b

2

=

169

−

25

b

2

=

144

√

b

2

=

√

144

b

=

±

12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is

12

cm.

The area of a rectangle is given by multiplying the width by the length.

A

=

(

5

c

m

)

(

12

c

m

)

A

=

60

c

m

2

Answer:

[tex] {5}^{2} + {x}^{2} = {13}^{2} \\ 25 + {x}^{2} = 169 \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144 \\ x = \sqrt{144} \\ x = 12cm[/tex]

Step-by-step explanation:

use the Pythagorean theorem

hope this helps you

Based on the information given, it should be noted that the Wilcoxon signed rank test will be 3.

From the table, it can be seen that the first tank is assigned to the first absolute value. The second rank is assigned to the second absolute value while the average of the third and the fourth value are given the value of 3.

The sum of the positive ranks will be:
= 1 + 2 = 3

The sum of the negative ranks will be:
= 8 + 7 + 3.5 + 3.5 + 6 + 5 = 33.

Therefore, the Wilcoxon signed-rank will be the minimum of 33 and 3 which is 3.

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Answer:

What is the probability that a randomly selected string with exactly ten characters results in a valid password?  = 0.02836

Step-by-step explanation:

CHECK THE ATTACHMENT BELOOW

Final answer:

The probability of a randomly selected string with exactly ten characters resulting in a valid password can be determined using combinatorics. The probability is given by (62! / (52!*10!)) / (62^10)

Explanation:

To find the probability of a randomly selected string with exactly ten characters resulting in a valid password, we need to determine how many valid passwords exist out of all possible strings of length ten. Since the password must contain at least one character from each of the three sets (upper-case letters, lower-case letters, and digits), we can calculate the probability using combinatorics.

There are 26 upper-case letters, 26 lower-case letters, and 10 digits, so the total number of characters in the union of the three sets is 26 + 26 + 10 = 62.

The probability of selecting a valid password is then:

P(valid password) = (Number of valid passwords) / (Total number of passwords)

For a valid password, the first character can be any of the 62 characters, the second character can be any of the remaining 61 characters, and so on. Therefore, the number of valid passwords is: 62 * 61 * 60 * ... * 53.

Since there are 10 characters in a valid password, the number of valid passwords is:

62 * 61 * 60 * ... * 53 = 62! / (52!*10!).

The total number of passwords of length 10 is: 62^10.

Therefore, the probability of a randomly selected string with exactly ten characters resulting in a valid password is:

P(valid password) = (62! / (52!*10!)) / (62^10).

The 95% confidence interval for the population mean weight of adult elephants is approximately (11628, 11666) pounds.

To find the 95% confidence interval of the population mean for the weights of adult elephants, we can use the formula:

CI = x ± Z * (σ/√n)

where CI is the confidence interval, x is the sample mean, Z is the z-score corresponding to the desired confidence level (in this case, 95%), σ is the population standard deviation, and n is the sample size.

Using the given values, x = 11,647 lb, σ = 24 lb, and n = 7, we can calculate the confidence interval:

CI = 11647 ± 1.96 * (24/√7)

CI ≈ 11647 ± 19.12

Therefore, the 95% confidence interval for the population mean weight of adult elephants is approximately (11628, 11666) pounds.

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Scatter plot shows negative correlation; regression equation: Defective Parts = [tex]27.5 - 0.3 \times \text{Line Speed}[/tex]; 20 defects predicted at 25 fpm.

a. The scatter diagram with the line speed as the independent variable is displayed. It shows the number of defective parts found at various line speeds.

(DIAGRAM IS GIVEN BELOW)

b. The scatter diagram indicates that there is a negative relationship between the two variables. As the line speed increases, the number of defective parts found decreases. This suggests that at higher speeds, perhaps the inspectors are not able to identify all the defective parts due to the speed at which the parts are moving past the inspection station.

c. Using the least squares method to develop the estimated regression equation with line speed as the independent variable (to 1 decimal), we get:

Defective Parts = [tex]27.5 - 0.3 \times \text{Line Speed}[/tex]

where 27.5 is the y-intercept and -0.3 is the slope of the line.

d. To predict the number of defective parts found for a line speed of 25 feet per minute, we can substitute x = 25 into the regression equation:

Defective Parts = [tex]27.5 - 0.3 \times 25 = 20.0[/tex]

Therefore, the model predicts that for a line speed of 25 feet per minute, there would be 20 defective parts found.

The complete question is here:

Brawdy Plastics, Inc. produces plastic seat belt retainers for General Motors at their plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. If required, enter negative values as negative numbers.

(DATA IS GIVEN BELOW)

a. Select a scatter diagram with the line speed as the independent variable.

b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

c. Use the least squares method to develop the estimated regression equation (to 1 decimal). = + x d. Predict the number of defective parts found for a line speed of 25 feet per minute.

Answer:

I believe its 84

Step-by-step explanation:

6 multiplied by 14

Answer:(x,y) = (-2,2)

Step-by-step explanation:

Answer: The answer is C

Answer:

h = 5

Step-by-step explanation:

[tex] \frac{h}{6} = \frac{20}{24} \\ 24 \times h = 20 \times 6 \\ 24h = 120 \\ h = \frac{120}{24} \\ h = 5[/tex]

Answer:

6

Step-by-step explanation:

3+9=12,

So since there are 2 people,

12 divided by 2 is 6.

Your answer would be 6.

9+3=12

12÷2=6

Dwight and Ellis both have 6 cards equally.

Hope this helps!!!

Answer:

Correct option: (b).

Step-by-step explanation:

Effect size (η) is a statistical measure that determines the strength of the association (numerically) between two variables.  For example, if we have data on the weight of male and female candidates and we realize that, on average, males are heavier than females, the difference between the weight of male and the weight of female candidates is known as the effect size.

The larger the effect size, the larger the weight difference between male and female will be.  

Statistic effect size helps us in analyzing if the difference is factual or if it is affected by a change of factors.  

In hypothesis testing, effect size, power, sample size, and critical significance level are related to each other.

The effect size formula for a hypothesis test of mean difference is:

[tex]\eta =\frac{\bar x_{1}-\bar x_{2}}{\sqrt{s^{2}}}[/tex]

The denominator s² is combined sample variance.

[tex]s^{2}=\frac{n_{1}s_{1}^{2}+n_{2}s_{2}^{2}}{n_{1}+n_{2}-2}[/tex]

The effect size is affected by two components:

As the sample mean difference is directly proportional to the effect size, on increasing the sample mean difference value the effect size will also increase.

Ans the sample variance is inversely proportional to the the effect size, on decreasing the sample variance value the effect size will increase and vice-versa.

Thus, the correct option is (b).

Answer: The expected frequency for the Business college is 31.5.

Step-by-step explanation:

Since we have given that

Number of students from ABC university = 300

Number of students from Liberal Arts college = 120

Number of students in Education college = 90

Number of students in Business college = 90

Probability of students in Business college = 35% = 0.35

Probability of students in Liberal arts college = 0.35

Probability of students in Education college = 0.30

So, Expected frequency for the Business College is given by

[tex]0.35\times 90=31.5[/tex]

Hence, the expected frequency for the Business college is 31.5.

Answer: 25

Step-by-step explanation:

Hello!

Your answer should be 26.85.

We can use the formula of pi d or 2 pi r for the circumference.

You would get 5 pi.

But since its not a full circle you would divide it in half and get 2.5 pi.

2.5 pi is equal to 7.85.

Now we can use the equation 7.85 + 7 + 7 + 5

That would equal our answer... 26.85!

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³  ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, thus

160 = k × 4³ = 64k ( divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of variation

(a)

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

(b)

When M = 540, then

540 = 2.5r³ ( divide both sides by 2.5 )_

216 = r³ ( take the cube root of both sides )

r = [tex]\sqrt[3]{216}[/tex] = 6

The task involves summarizing previous answers and reflecting upon them using a paragraph planner to organize and provide clarity to the response. This process aids in addressing the questions effectively and personally.

To approach the task at hand, one must begin by summarizing the answers provided previously. It is essential to distill the content into a coherent summary that accurately represents the experiences and advice shared. Upon doing so, reflection on these insights will lead to a personal understanding that is both informed and enriched by the various perspectives.

An effective strategy for this analysis is to use a paragraph planner. This tool assists in organizing thoughts and structuring the response in a logical and clear manner. By leveraging such a planner, the responses to the posed questions will not only address the directly asked matters but also encapsulate a broader interpretation of the information received.

Tonight's endeavor is to answer critical questions that resonate with the audience's collective curiosity. This act of addressing inquiries serves as a bridge between the speaker and the listener, fostering a shared understanding and grounding the conversation in mutual interests and concerns.

Answer:

70 degrees.

Step-by-step explanation:

Hello!

It says that this triangle is a right triangle. That means one angle is 90°. Since there are 180° in a triangle, all we have to do is subtract 90 + 20 from 180.

90 + 20 = 110

180 - 110 = 70.

So the medium angle is 70°.

Hope this helps!

Answer: the answer is zero my bad

Step-by-step explanation:

Answer:

decay

Step-by-step explanation:

Answer:

khan

Step-by-step explanation:

The question involves calculating compound interest using a given principal, interest rate, and time period. The calculation is performed using the compound interest formula, which takes into account the principal amount of $1000, an annual interest rate of 4.8%, and a time span of 2 years.

The question pertains to calculating compound interest over a certain period using a principal amount, an annual interest rate, and a given time frame. Given a principal of $1000, an annual interest rate of 4.8%, and a time period of 2 years, we can find the amount of interest accrued using the formula:

Interest = Principal  imes rate  imes time

Compound Interest = Principal  imes (1 + interest rate)time

In this case, the formula would be:

Compound Interest = $1000  imes (1 + 0.048)2

Performing this calculation would give us the total amount after 2 years, including both the principal and the interest earned.

Answer:

Копиравать

Step-by-step explanation:

Копиравать ладно

Answer: B

Step-by-step explanation: I believe it's B because if you're able to get the opinions of others about your store. You'll be able to see whats the customers are more interested in, so therefore be able to supply your store with stuff people are more intrigued in. (Let me know if I'm wrong, have a good day)