dr. yung tests a new anti-malaria drug in an asian population and concludes that he cannot reject the null hypothesis, and must conclude he does not have sufficient evidence to conclude that the drug works. in reality, the drug does work. dr. yung has committed a error. group of answer choices logical type i (false positive) type ii (false negative) statistical

The B-Tree index (m = 4) after inserting the given input index

                   [10, 13]

                  /       \

       [1, 2, 3, 4, 5, 6, 7, 8, 9]    [11, 12]    [14, 15, 16, 17, 19]

To create a B-Tree index with m = 4 after inserting the given input index, we'll follow the steps of inserting each value into the B-Tree and perform any necessary splits or reorganizations.

Here's the step-by-step process:

1. Start with an empty B-Tree index.

2. Insert the values in the given order: 12, 13, 10, 5, 6, 1, 2, 3, 7, 8, 9, 11, 4, 15, 19, 16, 14, 17.

3. Insert 12:

  - As the first value, it becomes the root node.

4. Insert 13:

  - Add 13 as a child to the root node.

5. Insert 10:

  - Add 10 as a child to the root node.

6. Insert 5:

  - Add 5 as a child to the node containing 10.

7. Insert 6:

  - Add 6 as a child to the node containing 5.

8. Insert 1:

  - Add 1 as a child to the node containing 5.

9. Insert 2:

  - Add 2 as a child to the node containing 1.

10. Insert 3:

  - Add 3 as a child to the node containing 2.

11. Insert 7:

  - Add 7 as a child to the node containing 6.

12. Insert 8:

  - Add 8 as a child to the node containing 7.

13. Insert 9:

  - Add 9 as a child to the node containing 8.

14. Insert 11:

  - Add 11 as a child to the node containing 10.

15. Insert 4:

  - Add 4 as a child to the node containing 3.

16. Insert 15:

  - Add 15 as a child to the node containing 13.

17. Insert 19:

  - Add 19 as a child to the node containing 15.

18. Insert 16:

  - Add 16 as a child to the node containing 15.

19. Insert 14:

  - Add 14 as a child to the node containing 13.

20. Insert 17:

  - Add 17 as a child to the node containing 15.

The resulting B-Tree index (m = 4) after inserting the given input index will look like this:

```

                   [10, 13]

                  /       \

       [1, 2, 3, 4, 5, 6, 7, 8, 9]    [11, 12]    [14, 15, 16, 17, 19]

```

Each node in the B-Tree is represented by its values enclosed in brackets. The children of each node are shown below it. The index values are arranged in ascending order within each node.

Please note that the B-Tree index may have different representations or organization depending on the specific rules and algorithms applied during the insertion process. The provided representation above is one possible arrangement based on the given input.

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The graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.

For any proportional relationship, we can find the slope of the graph by using any point on the line of the graph. The slope of the graph is also the unit rate, Therefore, picking a point on the line, (x, y), we have:

Slope (m) = y/x.

Number of miles Tyrell walks (y) = 12 miles

Time spent working (x) = 3 hours

The unit rate or slope = y/x = 12/3

Slope/unit rate (m) = 4 miles per hour.

From the graphs given, only graph B has the same unit rate/slope as 4, when we use the point, (5, 20).

Slope of graph B = 20/5 = 4.

Therefore, the graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.

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It is not true that whenever  we add two irrational numbers we get an irrational number.

Since we know a rational number is a number in the form, p/q, where q ≠ 0. Let  take two numbers : 2 + √3 & 2 - √3

The sum of the two numbers be :

= 2 + √3 + 2 - √3

= 4

Here the number is rational, taking another irrational numbers :  2 + √5 & 2 - √3

= 2 + √5 + 2 - √3

= 4 + √5 - √3,  where it is an irrational number.

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The claim that a drug is effective at 1% is not sufficiently supported by the available data.

Participant 1 2 3 4 5 6

Before 185 220 190 158 227 211

After 175 215 195 155 230 207

Difference = Before - After = 10 5 -5 3  -3 4

Participant 7 8 9 10 11 12

Before 260 156 201 300 180 270

After 258 159 201 290 172 272

Difference = Before - After = 2 -3 0 10  8 -2

Participant 13 14 15 16 17 18

Before 293 183 205 151 291 166

After 290 185 200 146 287 166

Difference = Before - After = -7 -2 5 5  4 0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44

The mean of d, \(d`\) = Σd / n = 44 / 18 = 2.44

The standard deviation, S.d = 4.45 (using calculator)

The test statistic, T : \(d`\) / (S.d/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

P value = 0.0326

α = 0.01

Since P value < α ; we fail to reject H0

So the claim that a drug is effective at 1% is not sufficiently supported by the available data.

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Answer:

Step-by-step explanation:

If you plot those points on a coordinate plane, you'll see that the distance from the origin up the y-axis to the point is greater than is the distance from the origin down the x-axis to the other point. That means 3 things to us: 1. the greater distance is a and the shorter is b; 2. the point (0, 11) is the vertex while the point (4, 0) is the co-vertex; and 3. this is a vertically stretched ellipse. A vertically stretched ellipse has an equation

\(\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1\) where h and k are the coordinates of the center, a is the greater distance (between the center and the vertex), and b is the smaller distance (between the center and the co-vertex).  Here's what we have then thus far:

h = 0

k = 0

a = 11

b = 4

Filling in our equation then looks like this:

\(\frac{(x-0)^2}{4^2} +\frac{(y-0)^2}{11^2} =1\) and simplifying:

\(\frac{x^2}{16} +\frac{y^2}{121} =1\). It appears that the last answer is the one you want, although when I teach this to my precalc students, I do not encourage them to move the x and y terms around as that answer appears to have done. But addition is also commutative so I'm sure it's acceptable (I just think it looks strange that way).

The equation of ellipse is \(\dfrac{y^2}{121}+\dfrac{x^2}{16}=1\) option D is correct.

Important information:

The standard form of an ellipse is:

\(\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1\)

Where, \((0,a)\) is vertex and \((0,b)\) is vertex.

Substitute \(a=11,b=4\) in the above equation.

\(\dfrac{x^2}{(4)^2}+\dfrac{y^2}{(11)^2}=1\)

\(\dfrac{x^2}{16}+\dfrac{y^2}{121}=1\)

\(\dfrac{y^2}{121}+\dfrac{x^2}{16}=1\)

Therefore, the correct option is D.

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Answer:

angle of elevation

Step-by-step explanation:

an angle measured up from the horizon is an angle of elevation

an angle measured down from the horizon is an angle of depression

Answer:

Step-by-step explanation:

The answer is C = 15

c + 7 = 22

subtract 7 to both sides:

c = 15

There's your answer! c = 15

Answer:

6

Step-by-step explanation:

6 is the most common lol

Answer:

I'll say 5

Step-by-step explanation:

Hoped this helped!

The value of the side b of the triangle is 33.8.

The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c." In order to determine the triangle's unknown lengths or angles, we apply the sine rule.

Given that the sides and angles are c = 21 km, a = 18 km, mB = 121°. The value of the side b will be calculated as,

b² = c² + a² -2accosB

b² = ( 21² ) + ( 18 )² - 2 x 21 x 18 x cos(121)

b² = 441 + 324 _ ( 756 x -0.5 )

b² = 441 + 324 + 378

b = √ ( 1143 )

b = 33.8

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Answer:

3x+3y and distributive property

Step-by-step explanation:

It is given that

Gretchen buys three bags of apples = 3X

Hayley buys three bunches of bananas = 3Y

As it is also mentioned that it first it is multiplied and then it is added

So, the expression for determining the total number of fruit pieces is

3X + 3Y

And, this expression denotes the distributive property in which we multiplied the each variable and then added it

Answer:

Donna will be paid

$

80

as interest.

Explanation:

S

I

=

P

×

R

×

T

100

Applying the formula for simple interest we get:

S

I

=

800

×

2

×

5

100

S

I

=

8

00

×

2

×

5

1

00

S

I

=

8

×

2

×

5

S

I

=

80

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

Did this question in class before ;D

The numerical expression for the verbal expression eighteen more than five is (9 + 30) / 10.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given verbal expression is,

Nine more than thirty divided by ten

Now converting them into numerical expression,

nine = 9

thirty = 30

∵ more than is addition i.e. +

∴ Nine more than thirty = 9 + 30

ten = 10

So, the numerical expression is given as,

Nine more than thirty divided by ten = (9 + 30) / 10

Thus, the numerical expression for the verbal expression eighteen more than five is (9 + 30) / 10.

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Answer:

His hourly rate is $8.15.

Step-by-step explanation:

The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).

So what we need to do is to divide that amount ($342.3) by 42.

And we get $8.15.

Answer:

see explanation

Step-by-step explanation:

A difference of two squares is factored as

a² - b² = (a - b)(a + b)

(g)

1 - 81y²

= 1² - (9y)²

= (1 - 9y)(1 + 9y)

(j)

64x² - 25y²

= (8x)² - (5y)²

= (8x - 5y)(8x + 5y)

Answer:

It shifts the function π units to the left.

The value of angle C in the triangle is 50°.

From the information given, the angle A = 60° while B is given as 70° and we are told to calculate the value of C.

It should be noted that the sum of angles on a triangle is 180°. Therefore, the value of C will be:

= 180° - (60° + 70°)

= 180° - 130°

= 50°

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Answer:

a+ 5a = 2a + 9

<=> 6a -2a = 9

<=> 4a = 9

<=> a = 9/4

=> have one solution

Step-by-step explanation:

Answer:

Neither, a has a solution of 9/4

Step-by-step explanation:

a+5a=2a+9

Combine like terms

6a = 2a -9

Subtract 2a from each side

6a -2a = 2a -9 -2a

4a = 9

Divide each side by 4

4a/4 = 9/4

a = 9/4

Neither, a has a solution of 9/4

Assume that p(x) represents the density function for American men's heights in inches and that p(69) = 0.18. Consider the implications of this mathematical statement carefully. How many men in America are between 68.9 and 69.1 inches tall on average? Percentage, roughly.

If p(x) is the density function for the heights of American men, then p(69) = 0.18 means that the probability density at x = 69 inches is 0.18.

We can integrate the density function over the range [68.9, 69.1] to determine the approximate percentage of American men who are between 68.9 and 69.1 inches tall:

P(68.9 ≤ x ≤ 69.1) = ∫₀.₁₃ p(x) dx ≈ 0.036

So, approximately 3.6% of American men are between 68.9 and 69.1 inches tall.

We would anticipate p(75)  p(69) if American men are on average 69 inches tall because the distribution is most likely symmetric around the mean and taper off as we move away from the mean in either direction.

P(69) = 0.5 indicates that 50% of American men have heights that are less than or equal to 69 inches if P(h) is the cumulative distribution function of p. We can use the density function and integrate over the corresponding intervals to estimate P(68.9) and P(68.8):

P(x ≤ 68.9) ≈ ∫₀.₁₃ p(x) dx ≈ 0.5 - 0.036/2 ≈ 0.482

P(x ≤ 68.8) ≈ ∫₀.₂₃ p(x) dx ≈ 0.5 - 0.036 - 0.013 ≈ 0.451

So, approximately 48.2% of American men have heights less than or equal to 68.9 inches, and approximately 45.1% have heights less than or equal to 68.8 inches.

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Answer:

4

Step-by-step explanation:

No greater number than 4 can be x because otherwise it'll be equal to or more than 5

The largest possible value x could take given that it must be an integer of x < 5 is; x = 4

We first have to understand the meaning of integers.

Integers are defined as whole numbers which could be positive or negative or even zero.

Now, we want to find the highest possible integers that are less than 5 from;

x < 5

Now, the first integer lower than 5 will be the highest possible one. That integer is 4.

Thus, x = 4.

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Answer:

slope is negative 3/8

Step-by-step explanation:

Answer:

slope is -3/8

Answer:

Explanation:

Given that Jennifer Lopez has 10 cousins

The number of male cousins is x

The number of female cousins is y

Since x is 2 less than y, we have:

x = y + 2 ...............................................................................(1)

The total number of cousins is 10, we have:

x + y = 10 ..............................................................................(2)

Substituting equation (1) in (2)

(y + 2) + y = 10

y + y + 2 = 10

2y + 2 = 10

Subtract 2 from both sides

2y = 10 - 2

2y = 8

Divide both sides by 2

y = 8/2 = 2

Substitute the value of y into (1)

x = 2

The percentage of people who took less than 30 seconds to complete

the task 84.4%.

The diagram shows us how many people finished the task in what time.

40 people finished in 5-10 seconds.

40 people finished in 10-15 seconds.

30 people finished in 15-20 seconds.

30 people finished in 20-25 seconds.

25 people finished in 25-30 seconds.

25 people finished in 30-35 seconds.

25 people finished in 35-40 seconds.

25 people finished in 40-45 seconds.

15 people finished in 45-50 seconds.

That is what the diagram is telling us, and what "frequency" means in this case.

Therefore,

In total, 255 people participated.

only the last 2 groups took longer than 40 seconds.

Therefore,

The estimate of how many took less than 40 seconds is

255 - 25 - 15 = 215 people.

215 people are how many % of 255 :

100% = 255

1%  = 100%/100

     = 255/100

     = 2.55

215 is a many % as how often 1% fits into these 215 :

215 / 2.55 = 84.31372549%

                 ≈ 84.4%

Complete Question:

Times taken to complete a task. Here is a histogram showing the times taken to complete a task.

40- Estimate the percentage of 35 people who took less than 40 seconds to complete the task.

Give your answer to 1 decimal place.

Frequency Density : 1 5 0 5

Time (Density) :

10 15 20 25 30 35 40 45 50

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There are 25 possible outcomes where we either get a blue die 3 or an even sum or both.

To solve this problem, we need to use the concept of probability. Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. In this case, we want to find the probability of rolling either a blue die 3 or an even sum or both.

First, let's count the number of outcomes where the blue die is 3. There is only one way to get a 3 on the blue die, and the red die can be any number from 1 to 6. Therefore, there are 6 possible outcomes where the blue die is 3.

Next, let's count the number of outcomes where we get an even sum. There are three ways to get an even sum: (1,1), (2,2), and (3,3). For each of these outcomes, the blue die can be any number from 1 to 6. Therefore, there are 18 possible outcomes where we get an even sum.

Finally, let's count the number of outcomes where we get both a blue die 3 and an even sum. There is only one way to get a blue die 3 and an even sum: (3,3). Therefore, there is only one possible outcome where we get both a blue die 3 and an even sum.

To find the total number of outcomes that have either a blue die 3 or an even sum or both, we need to add the number of outcomes where the blue die is 3, the number of outcomes where we get an even sum, and the number of outcomes where we get both. This gives us:

6 + 18 + 1 = 25

Therefore, there are 25 possible outcomes where we either get a blue die 3 or an even sum or both.

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d)An error because d cannot be negative.

According to the data, effect sizes such as Cohen's d typically range from 0 to positive values, and negative values do not make sense in this context. Therefore, an effect size of d = -63 is likely an error or a typo.

Assuming that the correct effect size is a positive value, the magnitude of the effect size can be described as follows based on Cohen's convention:

However, it's important to note that the interpretation of effect sizes also depends on the context and the specific field of study.

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The acceptable conclusions to a hypothesis test are option a, c, d, f.

What is hypothesis test?

Hypothesis Testing is a way of statistical analysis in which a person can  put his assumptions about a population parameter to the test. It usually  used to estimate the relationship between two statistical variables.

By the property of hypothesis test the following can be stated.

⇒The value of the test statistic lies in the non rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.

⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is not true.

⇒The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.

⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the alternative hypothesis is true.

Hence the correct options are a, c, d, f.

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9514 1404 393

Answer:

  143.1 ft

Step-by-step explanation:

Assuming the rope is tied to the boat, and that the geometry can be modeled by a right triangle, the Pythagorean theorem is helpful.

  150² = 45² + d²

  d = √(150² -45²) = √20475 ≈ 143.1 . . . . feet

The horizontal distance between the man and the boat is about 143.1 feet.

Answer:

Step-by-step explanation:

1/2x - y = 8

1/2x = 8 + y

2(1/2x = 8 + y)

x = 16 + 2y

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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