Lab tests of a new drug indicate a 70% success rate in completely curing the targeted disease. The doctors at the lab created the random data in the table using a representative simulation. The letter E stands for "effective," and N stands for "not effective. " (TL;DR: Each E stands for 'effective' and each N stands for 'not effective'. You need to calculate the ratio of Es to Ns in percentage. )

EEEE NEEE EEEE EEEN NEEN NEEE EENE NNNE NEEN EENE NENE EEEE EEEE NNNE ENEE NEEN ENEE EENN ENNE NEEE ENEN EEEE EEEN NEEE EENN EENE EEEN EEEE EENE EEEE ENEE ENNN EENE EEEE EEEN NEEE ENEE NEEE EEEE EEEE NENN EENN NNNN EEEE EEEE ENNN NENN NEEN ENEE EENE

The estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective is [blank]. The estimated probability that the medicine will be effective on exactly three out of four randomly selected patients is [blank]

Answer:

\( Area = 112.1 m^2 \)

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

\( \frac{w}{sin(W)} = \frac{x}{sin(X)} \)

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

\( \frac{w}{sin(24)} = \frac{31}{sin(130)} \)

Multiply both sides by sin(24) to solve for x

\( \frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24) \)

\( w = \frac{31*sin(24)}{sin(130)} \)

\( w = 16.5 mm \) (approximated)

\( XY = w = 16.5 mm \)

Find the area of ∆WXY

\( area = \frac{1}{2}*w*x*sin(Y) \)

\( = \frac{1}{2}*16.5*31*sin(26) \)

\( = \frac{16.5*31*sin(26)}{2} \)

\( Area = 112.1 m^2 \) (to nearest tenth).

The correct statements regarding activity diagrams are:

a. There can be multiple end points, but only one starting point.

c. A branch can have multiple incoming arrows.

d. A decision point may have more than 2 outgoing arrows.

e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.

f. An activity can be nested within another activity.

Activity diagrams are graphical representations used in software engineering to depict the flow of activities or actions within a system. The correct statements regarding activity diagrams are as follows:

a. There can be multiple end points, but only one starting point:

Activity diagrams typically illustrate the flow of activities from a single starting point to multiple end points. This allows for depicting different termination points in the system's behavior.

c. A branch can have multiple incoming arrows:

A branch in an activity diagram represents a decision point where the flow of activities can diverge. It is possible for multiple incoming arrows to converge at a branch, indicating different paths leading to the decision point.

d. A decision point may have more than 2 outgoing arrows:

A decision point in an activity diagram represents a condition or a decision that determines the subsequent flow of activities. It is possible for a decision point to have more than two outgoing arrows, indicating different paths based on the decision outcome.

e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions:

In an activity diagram, if the subsequent activities following a certain action have conditions that are not mutually exclusive, it creates an indeterminacy. This means that multiple paths may be followed simultaneously based on the different conditions.

f. An activity can be nested within another activity:

Activity diagrams support the nesting of activities within each other. This allows for representing complex activities or sub-processes within a larger activity, providing a hierarchical structure to the diagram.

In conclusion, the correct statements regarding activity diagrams include multiple end points and a single starting point, the possibility of multiple incoming arrows at a branch, the presence of more than two outgoing arrows at a decision point, the creation of indeterminacy with non-mutually exclusive conditions, and the ability to nest activities within one another.

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We are interested in the activity diagram. Check all the correct answers.

Please select at least one answer.

O a. There can be multiple end points, but only one starting point.

O b. Any joint must have been preceded by a branch.

O c. A branch can have multiple incoming arrows.

O d. A decision point may have more than 2 outgoing arrows.

Oe. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.

Of. An activity can be nested within another activity.

Answer:

Given function

The value of y at x = 6:

The closest choice is :

The y-intercept is the value of y when x = 0

This is the initial temperature at zero minute time, before heating is applied.

Correct choice is:

Using angle relationships we have:

1. 18x = 180; x = 10

14x = 140°

4x = 40°

2. 7x + 40 = 180; x = 20

4x + 30 = 110°

3x + 10 = 70°

3. 4x + 80 = 180; x = 25

2x + 80 = 130°

2x = 50°

4. 7x + 5 = 180; x = 25

6x = 150°

x + 5 = 30°

In order to determine the value of x and find the missing angle measures, we must use the appropriate angle relationship to create an equation to solve for x.

1. 4x + 14x = 180 [the angle relationship is that they are supplementary angles and therefore have a sum of 180 degrees.]

18x = 180

18x/18 = 180/18

x = 10

Plug in the value of x

14x = 14(10) = 140°

4x = 4(10) = 40°

2. 3x + 10 + 4x + 30 = 180 [supplementary angles]

7x + 40 = 180

7x = 180 - 40

7x = 140

7x/7 = 140/7

x = 20

Plug in the value of x

4x + 30 = 4(20) + 30 = 110°

3x + 10 = 3(20) + 10 = 70°

3. 2x + 2x + 80 = 180 [the angle relationship is supplementary]

4x + 80 = 180

4x = 180 - 80

4x = 100

4x/4 = 100/4

x = 25

2x + 80 = 2(25) + 80 = 130°

2x = 2(25) = 50°

4. 6x + x + 5 = 180 [the angle relationship is supplementary]

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 25

6x = 6(25) = 150°

x + 5 = 25 + 5 = 30°

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Answer:

None

Step-by-step explanation:

\(v^2=-75\) has the solution \(v=\pm \sqrt{-75}\), but it isn't real since you cannot take the square root of a negative number to produce that real output.

Answer:

It is 10²

Step-by-step explanation:

\( \frac{ {10}^{3} . {10}^{4} }{ {10}^{5} } = \frac{ {10}^{(3 + 4)} }{ { {10}^{5} }} \\ \\ = \frac{10 {}^{7} }{ {10}^{5} } \\ \\ = {10}^{(7 - 5)} \\ = {10}^{2} \)

Answer:

10²

Step-by-step explanation:

Using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\)

Then

\(\frac{10^{3}.10^{4} }{10^{5} }\)

= \(\frac{10^{(3+4)} }{10^{5} }\)

= \(\frac{10^{7} }{10^{5} }\)

= \(10^{(7-5)}\)

= 10²

When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.

In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.

To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.

Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.

The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.

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The expression when evaluated is 17

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

a = 2, b = 3, c = 4 and d = 12

Also, we have

20 - 2b/a

Substitute the known values in the above equation, so, we have the following representation

20 - 2b/a = 20 - 2 * 3/2

Evaluate

20 - 2b/a = 17

Hence, the solution is 17

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Answer: \(-\frac{5}{6}\)

Step-by-step explanation:

\(1\frac{1}{4}\) becomes \(\frac{5}{4}\) in simplified fraction form.

\(\frac{\frac{5}{4}}{-\frac{3}{2} }\) becomes \(\frac{5}{4} *-\frac{2}{3}\) by taking the reciprocal of the denominator.

This becomes\(-\frac{10}{12}\), which dividing numerator and denominator by 2 results in \(-\frac{5}{6}\).

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = - 3 → (1)

x + y = 0 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

3x = - 3 ( divide both sides by 3 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

- 1 + y = 0 ( add 1 to both sides )

y = 1

Solution is (- 1, 1 )

Answer:

(-1, 1)

Step-by-step explanation:

The smallest initial number that results in a win for Bernardo is 31.

Here's the breakdown of how the game would play out:

If Bernardo starts with any number less than 31, the final number will be less than 100 and Bernardo will win. Any number greater than 31 will result in Bernardo losing.

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The total possible ways of arranging 30 students in two groups of sizes 4 and 6 respectively are 6309453150, which is obtained by using the prerequisite knowledge of combinations.

What is the combination?

A combination is a mathematical procedure that deduces the number of feasible selections in a collection of articles in which the order of the selection does not matter. In combinations, you can choose any items in any order. Its formula is given by C(n,r) = n! / (n - r)! r!)

Calculation of the total possible ways of arranging two focus groups of students with sizes 4 and 6 respectively

Given a group of 30 students

Two focus groups are to be arranged in sizes 4 and 6 respectively

Total number of possible ways to arrange the two focus groups = C(30,4) × C(26,6)

Using the formula for combination, we get,

T.F.O = [30! / (26! 4!)] × [26! / (20! 6!)]

T.F.O = 27405 × 230230

         = 6309453150

Hence, the required possible ways to arrange two groups are given by 6309453150.

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Answer:

42.11

Step-by-step explanation:

Add all of the numbers, and then divide the total of the numbers by 9. With 9 being how many numbers are added.

The mean of the given data set is approximately 42.11.

To find the mean of a set of data, you need to sum up all the values and then divide the sum by the total number of values.

Given the data: 63, 40, 51, 70, 36, 21, 51, 28, 19

Here, there are 9 values.

Add up all the values:

63 + 40 + 51 + 70 + 36 + 21 + 51 + 28 + 19 = 379

Divide the sum by the total number of values:

379 / 9 = 42.11

Therefore, the mean of the given data set is approximately 42.11.

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Therefore, the standard deviation for the given probability distribution is approximately 0.80.Answer: The standard deviation for the given probability distribution is approximately 0.80.

Standard deviation of a discrete probability distribution . The standard deviation is a measure of the amount of variation or dispersion in a set of data. For a discrete probability distribution, the formula for standard deviation is given by: \sigma =\sqrt{\sum_{i=1}^{n}(x_i - \mu)^2P(x_i)}

The given probability distribution table is:\begin{array}{|c|c|}\hline \textbf{Girls} & \textbf{Probability} \\ \hline 0 & 0.20 \\ \ hline 1 & 0.45 \\ \ hline 2 & 0.30 \\ \hline 3 & 0.05 \\ \hline \end{array}

Expected value or the mean of the probability distribution is:$\mu=\sum_{i=1}^{n}(x_i \cdot P(x_i))$$$\mu=0(0.20)+1(0.45)+2(0.30)+3(0.05)=0.90$$ .

Therefore, the mean of the probability distribution is 0.90.To find the standard deviation.

Now we can substitute these values into the formula to calculate the standard deviation:$\sigma =\sqrt{\sum_{i=1}^{n}(x_i - \mu)^2P(x_i)}$\sigma =\sqrt{0.162+0.02025+0.396+0.0675}$$$\sigma =\sqrt{0.64575}\sigma \approx 0.80 .

Therefore, the standard deviation for the given probability distribution is approximately 0.80.Answer: The standard deviation for the given probability distribution is approximately 0.80.

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Answer:

9

-5 - 7(-2)

-5 - (-14)

+9

Answer:

53

Step-by-step explanation:

Let yazid's score be x

x + x + 17 + 2x = 161

4x + 17 = 161

4x = 144

x = 36

jack = x + 17

jack = 53

Answer:

Jack:  36

Bonus:  Yazid:  53 and Susan:  72

Step-by-step explanation:

Let J, Y, and K stand for Jack, Yazin, Susan's scores.

We are told that:

J = Y + 17  [Jack scored 17 marks more than Yazid]

S = 2Y  [Susan scored twice Yazid's score]

J + Y + S = 161  [total score is 161]

Substitute the first two expressions into the last equation:

J + Y + S = 161

(Y+17) + Y + (2Y) = 161

4Y = 144

Y = 36

Use Y = 36 to find the other scores:

J = Y + 17

J = 36 + 17

J = 53

S = 2Y

S = 2*(36)

S = 72

CHECK:

Does 36+53+72 = 161?

YES

The K-Means algorithm terminates when. a user-defined minimum value for the summation of squared error differences between instances and their corresponding cluster center is seen.

The K-Means algorithm terminates when

A) a user-defined minimum value for the summation of squared error differences between instances and their corresponding cluster center is seen.

B) the cluster centers for the current iteration are identical to the cluster centers for the previous iteration.

C) the number of instances in each cluster for the current iteration is identical to the number of instances in each cluster of the previous iteration.

D) the number of clusters formed for the current iteration is identical to the number of clusters formed in the previous iteration.

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Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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The table of values is a linear equation which is given as y = -7/2x + 2

A linear function is a mathematical function that represents a straight line when graphed on a coordinate plane. It is a type of function where the independent variable (usually denoted as x) has a constant rate of change with respect to the dependent variable (usually denoted as y).

The slope-intercept form of a linear equation is given as;

y = mx + c

From the table of value given;

f(x) = mx + c

Let's calculate the slope of the equation;

m = y₂ - y₁ / x₂ - x₁

m = 2 - 9 / 0 - (-2)

m = -7 / 2

The slope is -7/2

Taking the slope to find the linear equation;

y = mx + c

Taking any point;

9 = -7/2(-2) + c

9 = 7 + c

c = 2

The equation is y = -7/2 + 2

Taking another point to confirm our answer;

2 = -7/2(0) + c

c = 2

This shows the values is a linear equation;

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Answer:

8,846 units at $6.50

Step-by-step explanation:

Demand = X/5.75

10,000 = X/5.75

X = 57500

Demand at $6.50 would be:  Demand = 57500/6.50

Demand (at $6.50) = 8846

Answer:

The first two keywords (SUM and TOTAL) are called leading keywords because they lead the expression. The second two keywords (PLUS and INCREASED BY) are keywords that indicate the exact placement of the plus sign. The last four keywords can be found in word problems and may indicate addition.

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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The true statement is option (A) The equation |-x - 4| = 8 will have two solution

Consider each statement

All the statements are absolute value equation

Part A

|-x-4| = 8

We can write it in two way

-x - 4 = 8

- x = 12

x = -12

Then,

-(-x-4) = 8

x+4 = 8

x = 4

It has two solution

Part B

3. 4|0. 5x - 42. 1| = -20. 6

Divide both side by 3.4

|0.5x - 42.1| = -103/17

Absolute value cannot be negative

The equation has no solution

Part C

|1/2x - 3/4| = 0

1/2x - 3/4 = 0

1/2x = 3/4

x = 3/4 ÷ 1/2

x = 3/2

The equation has one solution

Part D

|2x - 10| = -20

Absolute value cannot be negative

This equation has no solution

Part E

|0. 5x - 0. 75| 4. 6 = 0. 25

Divide both side by 4.6

|0.5x - 0.75| = 5/92

The equation divided into two

0.5x - 0.75 = 5/92

x = 37/23

0.5x - 0.75 = -5/92

x = 32/23

The equation has two solution

Part F

|1/8x - 1| = 5

1/8x - 1 = 5

x = 48

1/8x - 1 = -5

x = -32

The equation has two solution

Therefore, the equation |-x - 4| = 8 will have two solution is true

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Answer:

The correct answer is not shown in your picture. You must get a = 60.

Step-by-step explanation:

(1/2)a + (2/3)b = 50

b = 30

(1/2)a + (2/3)(30) = 50

(1/2)a + 20 = 50

(1/2)a + 20 - 20 = 50 - 20

(1/2)a = 30

2 * (1/2)a = 2 * 30

a = 60

The correct answer is not shown in your picture. You must get a = 60.

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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Answer:

-3 > -8

-4 < 10

0 > -1

-5 = -5

Step-by-step explanation:

one is bigger than the other hopes this helps

Answer:

247.5

Step-by-step explanation:

247.5 is 8.25% of 2,100 + 400 + (10 x 50)

Answer:

Pretty sure its the third one

Step-by-step explanation:

I did the math and it seems to be that one or its the first one.

If a biologist measures the offspring of the surviving finches and finds that their mean beak depth is 13 mm, the heritability (h2) of beak depth, to two decimal places is -0.33.

The heritability of a trait refers to the proportion of the variation in that trait within a population that can be attributed to genetic factors. In this case, the heritability of beak depth can be estimated using the following formula:

h2 = (response to selection) / (selection differential)

where the response to selection is the difference between the mean value of the trait in the next generation and the mean value in the current generation.

The selection differential is the difference between the mean value of the trait in the current generation of individuals that survive and reproduce and the mean value in the entire population.

Using the given data, the response to selection is 13 - 12 = 1 mm, and the selection differential is 12 - 15 = -3 mm. Therefore, the heritability of beak depth can be calculated as:

h2 = (1/-3) = -0.33

The negative value obtained here suggests that there may have been some measurement error or other factors influencing the results. It is important to note that heritability estimates are subject to various assumptions and limitations and should be interpreted with caution.

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